Neural Computing and Applications, ISSN 0941-0643, 11/2011, Volume 20, Issue 8, pp. 1313 - 1320

The notions of $$(\overline{\in}, \overline{\in} \vee \overline{\hbox{q}})$$ -fuzzy p-ideals and fuzzy p-ideals with thresholds related to soft set theory are...

p -Ideal | (\overline{\in}, \overline{\in} \vee \overline{\hbox{q}})$$ -fuzzy p ideal | t -Implication-based fuzzy p -ideal | Computer Science | Simulation and Modeling | Fuzzy p -ideal with thresholds | Fuzzifying p ideal | Soft BCK/BCI-algebra | p -Idealistic soft BCI-algerba | fuzzy p ideal | p-Idealistic soft BCI-algerba | Fuzzy p-ideal with thresholds | t-Implication-based fuzzy p-ideal | p-Ideal | TOPOLOGY | FILTERS | ((is an element of)over-bar, (is an element of)over-bar boolean OR (q)over-bar)-fuzzy p ideal | SUBALGEBRAS | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE

p -Ideal | (\overline{\in}, \overline{\in} \vee \overline{\hbox{q}})$$ -fuzzy p ideal | t -Implication-based fuzzy p -ideal | Computer Science | Simulation and Modeling | Fuzzy p -ideal with thresholds | Fuzzifying p ideal | Soft BCK/BCI-algebra | p -Idealistic soft BCI-algerba | fuzzy p ideal | p-Idealistic soft BCI-algerba | Fuzzy p-ideal with thresholds | t-Implication-based fuzzy p-ideal | p-Ideal | TOPOLOGY | FILTERS | ((is an element of)over-bar, (is an element of)over-bar boolean OR (q)over-bar)-fuzzy p ideal | SUBALGEBRAS | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE

Journal Article

Computers and Mathematics with Applications, ISSN 0898-1221, 2009, Volume 58, Issue 10, pp. 2060 - 2068

Molodtsov [D. Molodtsov, Soft set theory–First results, Comput. Math. Appl. 37 (1999) 19–31] introduced the concept of soft set as a new mathematical tool for...

Soft set | Soft [formula omitted]-ideal | ( [formula omitted]-idealistic) soft BCI-algebra | Soft ideal | (p-idealistic) soft BCI-algebra | Soft p-ideal | MATHEMATICS, APPLIED | FUZZY IDEALS | FILTERS | SET-THEORY | BCK/BCI-ALGEBRAS

Soft set | Soft [formula omitted]-ideal | ( [formula omitted]-idealistic) soft BCI-algebra | Soft ideal | (p-idealistic) soft BCI-algebra | Soft p-ideal | MATHEMATICS, APPLIED | FUZZY IDEALS | FILTERS | SET-THEORY | BCK/BCI-ALGEBRAS

Journal Article

Proceedings of the American Mathematical Society, ISSN 0002-9939, 01/2013, Volume 141, Issue 1, pp. 171 - 179

In this paper we prove that every finite-dimensional nilpotent restricted Lie algebra over a field of prime characteristic has an outer restricted derivation...

Maximal abelian p-ideal | Nilpotent outer restricted derivation | Restricted cohomology | Free module | Torus | p-unipotent restricted Lie algebra | Maximal p-ideal | p-supplement | Abelian p-ideal | Heisenberg algebra | Restricted derivation | Restricted Lie algebra | Nilpotent Lie algebra | Outer restricted derivation | MATHEMATICS, APPLIED | torus | restricted cohomology | nilpotent outer restricted derivation | abelian p-ideal | MATHEMATICS | maximal abelian p-ideal | outer restricted derivation | nilpotent Lie algebra | restricted derivation | maximal p-ideal | free module

Maximal abelian p-ideal | Nilpotent outer restricted derivation | Restricted cohomology | Free module | Torus | p-unipotent restricted Lie algebra | Maximal p-ideal | p-supplement | Abelian p-ideal | Heisenberg algebra | Restricted derivation | Restricted Lie algebra | Nilpotent Lie algebra | Outer restricted derivation | MATHEMATICS, APPLIED | torus | restricted cohomology | nilpotent outer restricted derivation | abelian p-ideal | MATHEMATICS | maximal abelian p-ideal | outer restricted derivation | nilpotent Lie algebra | restricted derivation | maximal p-ideal | free module

Journal Article

Analele Universitatii "Ovidius" Constanta - Seria Matematica, ISSN 1224-1784, 06/2019, Volume 27, Issue 2, pp. 213 - 232

In this paper, the notion of closed cubic intuitionistic ideals, cubic intuitionistic -ideals and cubic intuitionistic -ideals in -algebras are introduced, and...

Cubic intuitionistic subalgebra | closed cubic intuitionistic ideal | ideal | 94D05 | cubic intuitionistic | 03G25 | 06F35 | MATHEMATICS | MATHEMATICS, APPLIED | cubic intuitionistic a-ideal | cubic intuitionistic p-ideal | cubic intuitionistic q-ideal

Cubic intuitionistic subalgebra | closed cubic intuitionistic ideal | ideal | 94D05 | cubic intuitionistic | 03G25 | 06F35 | MATHEMATICS | MATHEMATICS, APPLIED | cubic intuitionistic a-ideal | cubic intuitionistic p-ideal | cubic intuitionistic q-ideal

Journal Article

Archive for Mathematical Logic, ISSN 0933-5846, 5/2018, Volume 57, Issue 3, pp. 317 - 327

Minami–Sakai (Arch Math Logic 55(7–8):883–898, 2016) investigated the cofinal types of the Katětov and the Katětov–Blass orders on the family of all $$F_\sigma...

Borel ideal | Algebra | Katětov order | Mathematics, general | Mathematics | 03E04 | 03E15 | Analytic P-ideal | 54H05 | Mathematical Logic and Foundations

Borel ideal | Algebra | Katětov order | Mathematics, general | Mathematics | 03E04 | 03E15 | Analytic P-ideal | 54H05 | Mathematical Logic and Foundations

Journal Article

Topology and its applications, ISSN 0166-8641, 2018, Volume 240, pp. 98 - 115

This paper is devoted to studies of IwQN-spaces and some of their cardinal characteristics. Recently, Šupina in [32] proved that I is not a weak P-ideal if and...

Quasi-normal convergence | Ideal convergence | wQN-spaces | Ideal | Equal convergence | P-ideal | Bounding number | QN-spaces | MATHEMATICS | MATHEMATICS, APPLIED | F-SIGMA-IDEALS | POINTWISE | Mathematics - General Topology

Quasi-normal convergence | Ideal convergence | wQN-spaces | Ideal | Equal convergence | P-ideal | Bounding number | QN-spaces | MATHEMATICS | MATHEMATICS, APPLIED | F-SIGMA-IDEALS | POINTWISE | Mathematics - General Topology

Journal Article

Topology and its Applications, ISSN 0166-8641, 12/2017, Volume 232, pp. 13 - 21

We present S. Todorcevic's method of forcing with a coherent Souslin tree over restricted iteration axioms as a black box usable by those who wish to avoid its...

Axiom R | Martin's Axiom | Forcing with a coherent Souslin tree | formula omitted | Martin's Maximum | Locally compact normal | P-ideal dichotomy | MATHEMATICS, APPLIED | SOUSLIN TREE | COUNTABLY COMPACT | LOCALLY COMPACT | PERFECTLY NORMAL SPACES | MATHEMATICS | PFA(S) [S]

Axiom R | Martin's Axiom | Forcing with a coherent Souslin tree | formula omitted | Martin's Maximum | Locally compact normal | P-ideal dichotomy | MATHEMATICS, APPLIED | SOUSLIN TREE | COUNTABLY COMPACT | LOCALLY COMPACT | PERFECTLY NORMAL SPACES | MATHEMATICS | PFA(S) [S]

Journal Article

Mathematica Slovaca, ISSN 0139-9918, 08/2018, Volume 68, Issue 4, pp. 717 - 726

Weighted uniform densities are a generalization of the uniform density, which is also known as the Banach density. In this paper, we introduce the concept of...

filter | uniform density | Primary 11B05 | Darboux property | ideal | Secondary 40A35 | convergent series | ideal convergence | weighted uniform density | 40A05 | Banach density | P-ideal | MATHEMATICS | SERIES | CONVERGENCE | I-convergent series | Density | Sequences

filter | uniform density | Primary 11B05 | Darboux property | ideal | Secondary 40A35 | convergent series | ideal convergence | weighted uniform density | 40A05 | Banach density | P-ideal | MATHEMATICS | SERIES | CONVERGENCE | I-convergent series | Density | Sequences

Journal Article

Mathematica Slovaca, ISSN 0139-9918, 10/2015, Volume 65, Issue 5, pp. 1095 - 1106

We prove that if a = ∞ and (a ) is non-decreasing, then a = ∞ for any set A ⊂ ℕ of positive lower density. We introduce a Cauchy-like definition of...

ideal convergence of sequence | rapid filters | ideal convergence of series | asymptotic density | analytic P-ideals | MATHEMATICS | IDEAL CONVERGENCE | SEQUENCES | Series | Analysis | Convergence (Mathematics)

ideal convergence of sequence | rapid filters | ideal convergence of series | asymptotic density | analytic P-ideals | MATHEMATICS | IDEAL CONVERGENCE | SEQUENCES | Series | Analysis | Convergence (Mathematics)

Journal Article

Filomat, ISSN 0354-5180, 2017, Volume 31, Issue 12, pp. 3715 - 3726

Let R be a commutative ring with identity and X be a Tychonoff space. An ideal I of R is Von Neumann regular (briefly, regular) if for every a is an element of...

Von Neumann regular rings | Maximal regular ideal | Socle | SVNL-ring | PM-ring | Gelfand ring | Pure ideal | Essential ideals | Essentially P-space | P-ideal | P-space | MATHEMATICS, APPLIED | essential ideals | socle | C(X) | essentially P-space | MATHEMATICS | maximal regular ideal | pure ideal

Von Neumann regular rings | Maximal regular ideal | Socle | SVNL-ring | PM-ring | Gelfand ring | Pure ideal | Essential ideals | Essentially P-space | P-ideal | P-space | MATHEMATICS, APPLIED | essential ideals | socle | C(X) | essentially P-space | MATHEMATICS | maximal regular ideal | pure ideal

Journal Article

The Journal of symbolic logic, ISSN 0022-4812, 12/2015, Volume 80, Issue 4, pp. 1268 - 1289

We investigate ideals of the form {A ⊆ ω: ∑n∊Axn is unconditionally convergent} where ${\left( {{x_n}} \right)_{n \in \omega }}$ is a sequence in a Polish...

Series convergence | Mathematical sequences | Normed spaces | Separable spaces | Mathematical logic | Mathematical functions | Topology | Banach space | Density | Analytics | Ideal | Density-like ideal | Unconditional convergence | Nonpathological submeasure | Submeasure | Null set | Summable ideal | Analytic P-ideal | Trace ideal | Polish group | Classical sequence space | Summable-like ideal | Density ideal | analytic P-ideal | summable ideal | ideal | density-like ideal | classical sequence space | trace ideal | LOGIC | null set | summable-like ideal | MATHEMATICS | nonpathological submeasure | density ideal | submeasure | unconditional convergence | Usage | Functional equations | Analysis | Theorems (Mathematics) | Functions | Banach spaces | Ideals | Tests, problems and exercises

Series convergence | Mathematical sequences | Normed spaces | Separable spaces | Mathematical logic | Mathematical functions | Topology | Banach space | Density | Analytics | Ideal | Density-like ideal | Unconditional convergence | Nonpathological submeasure | Submeasure | Null set | Summable ideal | Analytic P-ideal | Trace ideal | Polish group | Classical sequence space | Summable-like ideal | Density ideal | analytic P-ideal | summable ideal | ideal | density-like ideal | classical sequence space | trace ideal | LOGIC | null set | summable-like ideal | MATHEMATICS | nonpathological submeasure | density ideal | submeasure | unconditional convergence | Usage | Functional equations | Analysis | Theorems (Mathematics) | Functions | Banach spaces | Ideals | Tests, problems and exercises

Journal Article

Order (Dordrecht), ISSN 1572-9273, 2013, Volume 31, Issue 1, pp. 55 - 79

In their work on spreading models in Banach spaces, Dilworth et al. (Isr J Math 161:387–411, 2007) introduced the notion of a Suslin lower semi-lattice, a...

Geometry | Iterated forcing | Discrete Mathematics in Computer Science | Convex and Discrete Geometry | Mathematics | Theory of Computation | P-ideal dichotomy | Lattice | Suslin tree | MATHEMATICS | SETS

Geometry | Iterated forcing | Discrete Mathematics in Computer Science | Convex and Discrete Geometry | Mathematics | Theory of Computation | P-ideal dichotomy | Lattice | Suslin tree | MATHEMATICS | SETS

Journal Article

Mathematica Slovaca, ISSN 0139-9918, 12/2012, Volume 62, Issue 6, pp. 1091 - 1104

The notion of a synaptic algebra was introduced by David Foulis. Synaptic algebras unite the notions of an order-unit normed space, a special Jordan algebra, a...

p-ideal | orthomodular lattice | quadratic ideal | Mathematics | order-unit space | Jordan algebra | Secondary 06W10, 47B15 | Algebra | symmetry | carrier projection | effect | Mathematics, general | synaptic algebra | projection | Primary 06F25, 81P10 | ABELIAN-GROUPS | MATHEMATICS | JORDAN ALGEBRAS | GENERALIZED HERMITIAN ALGEBRAS

p-ideal | orthomodular lattice | quadratic ideal | Mathematics | order-unit space | Jordan algebra | Secondary 06W10, 47B15 | Algebra | symmetry | carrier projection | effect | Mathematics, general | synaptic algebra | projection | Primary 06F25, 81P10 | ABELIAN-GROUPS | MATHEMATICS | JORDAN ALGEBRAS | GENERALIZED HERMITIAN ALGEBRAS

Journal Article

Transactions of the American Mathematical Society, ISSN 0002-9947, 11/2009, Volume 361, Issue 11, pp. 5695 - 5719

We investigate some combinatorial statements that are strong enough to imply that \diamondsuit fails (hence the name {\em antidiamonds}); yet most of them are...

Mathematical manifolds | Hausdorff spaces | Topological compactness | Topological theorems | Axioms | Cardinality | Compactification | General topology | Topological spaces | Antidiamond | Diamond | Forcing | P-ideal | S-space | Continuum hypothesis | MATHEMATICS | forcing | continuum hypothesis | antidiamond | COUNTABLY COMPACT SPACES

Mathematical manifolds | Hausdorff spaces | Topological compactness | Topological theorems | Axioms | Cardinality | Compactification | General topology | Topological spaces | Antidiamond | Diamond | Forcing | P-ideal | S-space | Continuum hypothesis | MATHEMATICS | forcing | continuum hypothesis | antidiamond | COUNTABLY COMPACT SPACES

Journal Article

The Journal of symbolic logic, ISSN 0022-4812, 3/2013, Volume 78, Issue 1, pp. 157 - 167

We answer a question of Cummings and Magidor by proving that the P-ideal dichotomy of Todorčević refutes □κ,ω for any uncountable κ. We also show that the...

Mathematical set theory | Mathematical logic | Mathematical sequences | Axioms | Uncountable sets | MATHEMATICS | P-ideal dichotomy | Aronszajn tree | weak square principle | LOGIC | Theorems (Mathematics) | Usage | Proof theory | Analysis | Mathematical notation | 03E35, 03E65, 03E17, 03E05

Mathematical set theory | Mathematical logic | Mathematical sequences | Axioms | Uncountable sets | MATHEMATICS | P-ideal dichotomy | Aronszajn tree | weak square principle | LOGIC | Theorems (Mathematics) | Usage | Proof theory | Analysis | Mathematical notation | 03E35, 03E65, 03E17, 03E05

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 07/2017, Volume 451, Issue 2, pp. 1179 - 1197

There are generalizations and complementations of results from our joint papers with Filipów ([15] and [16]). We study relationships between ideal equal...

Filter convergence | Equal convergence | Quasi-normal convergence | Ideal convergence | P-ideal | Bounding number | MATHEMATICS | LIMITS | MATHEMATICS, APPLIED | SEQUENCES | FILTERS

Filter convergence | Equal convergence | Quasi-normal convergence | Ideal convergence | P-ideal | Bounding number | MATHEMATICS | LIMITS | MATHEMATICS, APPLIED | SEQUENCES | FILTERS

Journal Article

02/2019

Ideals on countable sets: a survey with questions, Rev. Integr. temas mat. 37 (2019), No. 1, 167-198 An ideal on a set $X$ is a collection of subsets of $X$...

Mathematics - Logic

Mathematics - Logic

Journal Article

Transactions of the American Mathematical Society, ISSN 0002-9947, 10/2019, Volume 372, Issue 10, pp. 6805 - 6851

P. J. Nyikos has asked whether it is consistent that every hereditarily normal manifold of dimension greater than one is metrizable, and he proved that it is...

MATHEMATICS | proper forcing | PFA(S)[S] | metrizable | perfect preimage of omega | SPACES | Hereditarily normal | manifold | locally compact | coherent Souslin tree | P-ideal | sequentially compact

MATHEMATICS | proper forcing | PFA(S)[S] | metrizable | perfect preimage of omega | SPACES | Hereditarily normal | manifold | locally compact | coherent Souslin tree | P-ideal | sequentially compact

Journal Article

International Journal of Engineering and Technology(UAE), 2018, Volume 7, Issue 3, pp. 513 - 515

Journal Article

Archive for Mathematical Logic, ISSN 0933-5846, 5/2013, Volume 52, Issue 3, pp. 279 - 294

Elekes proved that any infinite-fold cover of a σ-finite measure space by a sequence of measurable sets has a subsequence with the same property such that the...

Covering properties | Null sets | Meager sets | P-ideals | Fubini product | Mathematics | Forcing-indestructibility | Katětov–Blass order | Algebra | Borel determinacy | Infinite-fold covers | Mathematics, general | 03E15 | 03E05 | Ideals | Borel ideals | Mathematical Logic and Foundations | Katětov-Blass order | Katetov-Blass order | INDESTRUCTIBILITY | LOGIC | MATHEMATICS | SETS | Analysis | Logic | Mathematical logic | Covering | Theorems | Archives | Density | Proving

Covering properties | Null sets | Meager sets | P-ideals | Fubini product | Mathematics | Forcing-indestructibility | Katětov–Blass order | Algebra | Borel determinacy | Infinite-fold covers | Mathematics, general | 03E15 | 03E05 | Ideals | Borel ideals | Mathematical Logic and Foundations | Katětov-Blass order | Katetov-Blass order | INDESTRUCTIBILITY | LOGIC | MATHEMATICS | SETS | Analysis | Logic | Mathematical logic | Covering | Theorems | Archives | Density | Proving

Journal Article

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