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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
Journal Article
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
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
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
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]
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
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)
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
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
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
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
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
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
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
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
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
Journal Article
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