Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 05/2020, Volume 485, Issue 2, p. 123861

Let X be a right Hilbert module over a C⁎-algebra A equipped with the canonical operator space structure. We define an elementary operator on X as a map ϕ:X→X...

[formula omitted]-algebra | Hilbert [formula omitted]-module | Elementary operator | Prime | Completely bounded map | MATHEMATICS | MATHEMATICS, APPLIED | Hilbert C-module | BOUNDED MAPPINGS | MORITA EQUIVALENCE | C-algebra | Mathematics - Operator Algebras

[formula omitted]-algebra | Hilbert [formula omitted]-module | Elementary operator | Prime | Completely bounded map | MATHEMATICS | MATHEMATICS, APPLIED | Hilbert C-module | BOUNDED MAPPINGS | MORITA EQUIVALENCE | C-algebra | Mathematics - Operator Algebras

Journal Article

Journal of Algebra, ISSN 0021-8693, 02/2015, Volume 423, pp. 54 - 86

It is proved that the prime degenerate (−1,1) algebra constructed in [12] (the (−1,1)-monster) generates the same variety of algebras as the Grassmann...

[formula omitted]-algebra | Grassmann envelope | Prime degenerate algebra | Jordan algebra | Superalgebra of vector type | Secondary | (-1, 1)-algebra | Primary | MATHEMATICS | ONE ODD GENERATOR | ALGEBRAS | RIGHT ALTERNATIVE RINGS | (-1,1)-algebra | Algebra

[formula omitted]-algebra | Grassmann envelope | Prime degenerate algebra | Jordan algebra | Superalgebra of vector type | Secondary | (-1, 1)-algebra | Primary | MATHEMATICS | ONE ODD GENERATOR | ALGEBRAS | RIGHT ALTERNATIVE RINGS | (-1,1)-algebra | Algebra

Journal Article

Linear Algebra and Its Applications, ISSN 0024-3795, 2011, Volume 434, Issue 3, pp. 669 - 682

Let A be a unital prime algebra with a nontrivial idempotent over a field F . For any scalar ξ ∈ F , all additive maps L : A → A satisfying [ L ( A ) , B ] ξ +...

[formula omitted]-Lie derivations | Derivations | Prime algebras | [formula omitted]-Lie product | ξ-Lie product | ξ-Lie derivations

[formula omitted]-Lie derivations | Derivations | Prime algebras | [formula omitted]-Lie product | ξ-Lie product | ξ-Lie derivations

Journal Article

Advances in Mathematics, ISSN 0001-8708, 12/2012, Volume 231, Issue 6, pp. 3232 - 3258

We generalize F-signature to pairs (R,D) where D is a Cartier subalgebra on R as defined by the first two authors. In particular, we show the existence and...

[formula omitted]-signature | [formula omitted]-pure | [formula omitted]-splitting ratio | Cartier algebra | Splitting prime | [formula omitted]-regular | F-regular | F-splitting ratio | F-pure | F-signature | PURE RINGS | CHARACTERISTIC-P | LOCAL-RINGS | TEST IDEALS | MATHEMATICS | ELEMENTS | COHEN-MACAULAY | MAPS | PURITY | REGULAR RINGS | TIGHT CLOSURE

[formula omitted]-signature | [formula omitted]-pure | [formula omitted]-splitting ratio | Cartier algebra | Splitting prime | [formula omitted]-regular | F-regular | F-splitting ratio | F-pure | F-signature | PURE RINGS | CHARACTERISTIC-P | LOCAL-RINGS | TEST IDEALS | MATHEMATICS | ELEMENTS | COHEN-MACAULAY | MAPS | PURITY | REGULAR RINGS | TIGHT CLOSURE

Journal Article

Linear Algebra and Its Applications, ISSN 0024-3795, 04/2012, Volume 436, Issue 7, pp. 2504 - 2512

Let A be an algebra and let f(x1,…,xd) be a multilinear polynomial in noncommuting indeterminates xi. We consider the problem of describing linear maps ϕ:A→A...

[formula omitted]-algebra | Functional identity | Multilinear polynomial | Matrix algebra | Algebraic group | Polynomial identity | Free algebra | Linear preserver problem | Prime algebra | algebra | MATHEMATICS | MATHEMATICS, APPLIED | C-algebra | Universities and colleges | Algebra

[formula omitted]-algebra | Functional identity | Multilinear polynomial | Matrix algebra | Algebraic group | Polynomial identity | Free algebra | Linear preserver problem | Prime algebra | algebra | MATHEMATICS | MATHEMATICS, APPLIED | C-algebra | Universities and colleges | Algebra

Journal Article

Information Sciences, ISSN 0020-0255, 2008, Volume 178, Issue 17, pp. 3474 - 3481

The logical foundations of processes handling uncertainty in information use some classes of algebras as algebraic semantics. The sets of provable formulas in...

Filter | Fuzzy prime filter | Pseudo MV-algebra | Pseudo BL-algebra | Fuzzy filter | [formula omitted]-monoid | Prime filter | R ℓ-monoid

Filter | Fuzzy prime filter | Pseudo MV-algebra | Pseudo BL-algebra | Fuzzy filter | [formula omitted]-monoid | Prime filter | R ℓ-monoid

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 07/2019, Volume 475, Issue 1, pp. 628 - 640

Let A be a prime unital C⁎-algebra, X a countably generated Hillbert A-module, B(X) the C⁎-algebra of adjointable operators on X and K(X) the C⁎-algebra of...

Hilbert [formula omitted]-module | Elementary operator | Prime [formula omitted]-algebra | Multiplication operator | MATHEMATICS | WEAK COMPACTNESS | MATHEMATICS, APPLIED | Prime C-algebra | Hilbert C-module

Hilbert [formula omitted]-module | Elementary operator | Prime [formula omitted]-algebra | Multiplication operator | MATHEMATICS | WEAK COMPACTNESS | MATHEMATICS, APPLIED | Prime C-algebra | Hilbert C-module

Journal Article

Computers and Mathematics with Applications, ISSN 0898-1221, 2010, Volume 59, Issue 9, pp. 3167 - 3179

In this paper we characterize hemirings in which all h -ideals or all fuzzy h -ideals are idempotent. It is proved, among other results, that every h -ideal of...

Fuzzy prime [formula omitted]-ideal | Fuzzy irreducible [formula omitted]-ideal | Irreducible [formula omitted]-ideal | Prime [formula omitted]-ideal | Fuzzy prime h-ideal | Prime h-ideal | Fuzzy irreducible h-ideal | Irreducible h-ideal | K-IDEALS | MATHEMATICS, APPLIED | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | FUZZY | SEMIRINGS | Mathematics - Rings and Algebras

Fuzzy prime [formula omitted]-ideal | Fuzzy irreducible [formula omitted]-ideal | Irreducible [formula omitted]-ideal | Prime [formula omitted]-ideal | Fuzzy prime h-ideal | Prime h-ideal | Fuzzy irreducible h-ideal | Irreducible h-ideal | K-IDEALS | MATHEMATICS, APPLIED | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | FUZZY | SEMIRINGS | Mathematics - Rings and Algebras

Journal Article

Linear Algebra and Its Applications, ISSN 0024-3795, 2011, Volume 434, Issue 12, pp. 2413 - 2429

Let A be a Banach algebra, let σ be an automorphism of A , and let d, δ be q-skew σ-derivations of A . We show that if d δ ( a ) is quasi-nilpotent for any a ∈...

Banach algebra | Quasi-nilpotent | Radical | q-Skew [formula omitted]-derivations | q-Skew σ-derivations | MATHEMATICS | MATHEMATICS, APPLIED | CONSTANTS | RINGS | q-Skew sigma-derivations | PRIME IDEALS

Banach algebra | Quasi-nilpotent | Radical | q-Skew [formula omitted]-derivations | q-Skew σ-derivations | MATHEMATICS | MATHEMATICS, APPLIED | CONSTANTS | RINGS | q-Skew sigma-derivations | PRIME IDEALS

Journal Article

10.
Full Text
The center of the enveloping algebra of the p-Lie algebras ▪n, ▪n, ▪n, when p divides n

Journal of Algebra, ISSN 0021-8693, 06/2018, Volume 504, pp. 217 - 290

Let ▪, be a reductive Lie algebra over an algebraically closed field F with charF=p>0. Suppose G satisfies Jantzen's standard assumptions. Then the structure...

formula omitted | Enveloping algebra | Prime characteristic | psl | pgl

formula omitted | Enveloping algebra | Prime characteristic | psl | pgl

Journal Article

Journal of the Egyptian Mathematical Society, ISSN 1110-256X, 01/2016, Volume 24, Issue 1, pp. 15 - 19

The objective of this paper is to study Jordan ∗-mappings in rings with involution ∗. In particular, we prove that if R is a prime ring with involution ∗, of...

Prime ring | Jordan [formula omitted]-derivation | Symmetric Jordan triple [formula omitted]-biderivation | Involution | Jordan left [formula omitted]-derivation | Symmetric Jordan [formula omitted]-biderivation | Analysis | Rings (Algebra) | Mappings (Mathematics) | Symmetric Jordan triple ∗-biderivation | Jordan left ∗-derivation | Symmetric Jordan ∗-biderivation | Jordan ∗-derivation

Prime ring | Jordan [formula omitted]-derivation | Symmetric Jordan triple [formula omitted]-biderivation | Involution | Jordan left [formula omitted]-derivation | Symmetric Jordan [formula omitted]-biderivation | Analysis | Rings (Algebra) | Mappings (Mathematics) | Symmetric Jordan triple ∗-biderivation | Jordan left ∗-derivation | Symmetric Jordan ∗-biderivation | Jordan ∗-derivation

Journal Article

Communications in Algebra, ISSN 0092-7872, 03/2019, Volume 47, Issue 3, pp. 1153 - 1196

The theory of generalized Weyl algebras is used to study the 2 × 2 reflection equation algebra in the case that q is not a root of unity, where the R-matrix...

16D60 (Secondary) | prime spectrum | 16T20 (Primary) | quantum algebra | reflection equation algebra | Generalized Weyl algebra | Algebra | Computation | Modules | Reflection | Topology | Formulas (mathematics) | Weight

16D60 (Secondary) | prime spectrum | 16T20 (Primary) | quantum algebra | reflection equation algebra | Generalized Weyl algebra | Algebra | Computation | Modules | Reflection | Topology | Formulas (mathematics) | Weight

Journal Article

Journal of Algebra, ISSN 0021-8693, 2008, Volume 320, Issue 3, pp. 1275 - 1287

The membership of the local cohomology modules H a n ( M ) of a module M in certain Serre subcategories of the category of modules is studied from below ( i <...

Serre subcategory | [formula omitted]-depth | [formula omitted]-regular sequences | Local cohomology | S-depth | S-regular sequences | local cohomology | MATHEMATICS | IDEAL | ALGEBRAIC-VARIETIES | MODULES | DIMENSION | PRIMES | TEKNIKVETENSKAP | Engineering and Technology | Teknik och teknologier | TECHNOLOGY

Serre subcategory | [formula omitted]-depth | [formula omitted]-regular sequences | Local cohomology | S-depth | S-regular sequences | local cohomology | MATHEMATICS | IDEAL | ALGEBRAIC-VARIETIES | MODULES | DIMENSION | PRIMES | TEKNIKVETENSKAP | Engineering and Technology | Teknik och teknologier | TECHNOLOGY

Journal Article

Journal of Algebra, ISSN 0021-8693, 2008, Volume 320, Issue 5, pp. 1963 - 1982

A graph monoid is a commutative monoid for which there is a particularly simple presentation, given in terms of a quiver. Such monoids are known to satisfy...

Graph monoid | Quiver | Free element | Antisymmetric | Primely generated | Refinement | Monoid | [formula omitted]-algebra | Primitive | Separative | Prime element | Commutative | Regular element | Von Neumann regular | algebra | antisymmetric | primitive | separative | free element | von Neumann regular | quiver | primely generated | monoid | MATHEMATICS | prime element | ALGEBRAS | SEMILATTICES | graph monoid | regular element | refinement | LATTICES | C-algebra | commutative | Mathematics | General Mathematics | Rings and Algebras

Graph monoid | Quiver | Free element | Antisymmetric | Primely generated | Refinement | Monoid | [formula omitted]-algebra | Primitive | Separative | Prime element | Commutative | Regular element | Von Neumann regular | algebra | antisymmetric | primitive | separative | free element | von Neumann regular | quiver | primely generated | monoid | MATHEMATICS | prime element | ALGEBRAS | SEMILATTICES | graph monoid | regular element | refinement | LATTICES | C-algebra | commutative | Mathematics | General Mathematics | Rings and Algebras

Journal Article

Asian-European Journal of Mathematics, ISSN 1793-5571, 05/2018

Journal Article

Journal of Algebra, ISSN 0021-8693, 2012, Volume 349, Issue 1, pp. 284 - 316

This paper is concerned with existence of big tight closure test elements for a commutative Noetherian ring R of prime characteristic p. Let R ∘ denote the...

Gorenstein ring | Test element | Excellent ring | Frobenius skew polynomial ring | Prime characteristic | Commutative Noetherian ring | Tight closure | Condition [formula omitted] | Frobenius homomorphism | Weakly F-regular ring | Condition (R | Condition (R-0) | GENERAL NERON DESINGULARIZATION | TEST-IDEALS | CHARACTERISTIC-P | MATHEMATICS | MODULES | COHEN-MACAULAY | REGULAR RINGS | School construction

Gorenstein ring | Test element | Excellent ring | Frobenius skew polynomial ring | Prime characteristic | Commutative Noetherian ring | Tight closure | Condition [formula omitted] | Frobenius homomorphism | Weakly F-regular ring | Condition (R | Condition (R-0) | GENERAL NERON DESINGULARIZATION | TEST-IDEALS | CHARACTERISTIC-P | MATHEMATICS | MODULES | COHEN-MACAULAY | REGULAR RINGS | School construction

Journal Article

Compositio Mathematica, ISSN 0010-437X, 09/2014, Volume 150, Issue 9, pp. 1485 - 1548

Let g = Lie(G) be the Lie algebra of a simple algebraic group G over an algebraically closed field of characteristic 0. Let e be a nilpotent element of g and...

simple Lie algebra | finite W-algebra | nilpotent element | primitive ideal | MATHEMATICS | ELEMENTS | SLICES | PRIMITIVE-IDEALS | ENVELOPING-ALGEBRAS | GOLDIE RANK | NILPOTENT ORBITS | PRIME IDEALS | SIMPLE LIE-ALGEBRAS | 1-DIMENSIONAL REPRESENTATIONS | CONJUGACY CLASSES | Finite volume method | Algebra

simple Lie algebra | finite W-algebra | nilpotent element | primitive ideal | MATHEMATICS | ELEMENTS | SLICES | PRIMITIVE-IDEALS | ENVELOPING-ALGEBRAS | GOLDIE RANK | NILPOTENT ORBITS | PRIME IDEALS | SIMPLE LIE-ALGEBRAS | 1-DIMENSIONAL REPRESENTATIONS | CONJUGACY CLASSES | Finite volume method | Algebra

Journal Article

Ergodic Theory and Dynamical Systems, ISSN 0143-3857, 05/2018, Volume 38, Issue 3, pp. 832 - 862

We investigate the K-theory of unital UCT Kirchberg algebras Q(S) arising from families S of relatively prime numbers. It is shown that K-*(Q(S)) is the direct...

MATHEMATICS | STAR-ALGEBRAS | FUNCTOR | MATHEMATICS, APPLIED | SYSTEMS | CROSSED-PRODUCTS | Prime numbers | Dynamic tests | Algebra | Torsion | Classification | Mathematics - Operator Algebras

MATHEMATICS | STAR-ALGEBRAS | FUNCTOR | MATHEMATICS, APPLIED | SYSTEMS | CROSSED-PRODUCTS | Prime numbers | Dynamic tests | Algebra | Torsion | Classification | Mathematics - Operator Algebras

Journal Article

Journal of Algebra, ISSN 0021-8693, 2011, Volume 330, Issue 1, pp. 206 - 220

We continue the work of Aschbacher, Kinyon and Phillips (2006) [AKP06] as well as of Glauberman (1964, 1968) [G64,G68] by describing the structure of the...

Structure of Bruck loop | Lagrange's Theorem | Fermat prime | Conjugacy classes of involutions | Loop envelope | Hall's Theorem | Finite Bruck loop | [formula omitted]-loop | Transversal | Sylow's Theorem | Twisted subgroup | Loop folder | Finite Bol loop | Ar-loop | BOL LOOPS | A(r)-loop | MATHEMATICS

Structure of Bruck loop | Lagrange's Theorem | Fermat prime | Conjugacy classes of involutions | Loop envelope | Hall's Theorem | Finite Bruck loop | [formula omitted]-loop | Transversal | Sylow's Theorem | Twisted subgroup | Loop folder | Finite Bol loop | Ar-loop | BOL LOOPS | A(r)-loop | MATHEMATICS

Journal Article

20.
Full Text
Non-associative Gröbner bases, finitely-presented Lie rings and the Engel condition, II

Journal of Symbolic Computation, ISSN 0747-7171, 2009, Volume 44, Issue 7, pp. 786 - 800

We give an algorithm for constructing a basis and a multiplication table of a finite-dimensional finitely-presented Lie ring. Secondly, we give relations that...

Finitely-presented Lie rings | Non-associative Gröbner bases | The [formula omitted]-Engel condition | The n-Engel condition | ORDER | MATHEMATICS, APPLIED | ALGEBRAS | PRIME | Non-associative Grobner bases | COMPUTER SCIENCE, THEORY & METHODS | Algorithms

Finitely-presented Lie rings | Non-associative Gröbner bases | The [formula omitted]-Engel condition | The n-Engel condition | ORDER | MATHEMATICS, APPLIED | ALGEBRAS | PRIME | Non-associative Grobner bases | COMPUTER SCIENCE, THEORY & METHODS | Algorithms

Journal Article

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