International Mathematics Research Notices, ISSN 1073-7928, 05/2020, Volume 2020, Issue 10, pp. 2977 - 3041

Abstract We study the structure and representation theory of affine wreath product algebras and their cyclotomic quotients. These algebras, which appear...

Journal Article

Mathematische Zeitschrift, ISSN 0025-5874, 2/2018, Volume 288, Issue 1, pp. 383 - 400

It has been shown that in characteristic zero the generators of the minimal supervarieties of finite basic rank belong to the class of minimal superalgebras...

16R10 | Graded polynomial identities | 16R50 | Superalgebras | Superexponent | Mathematics, general | Mathematics | Minimal supervarieties | 16W55 | MATHEMATICS | PI ALGEBRAS | CODIMENSION GROWTH | EXPONENTIAL-GROWTH | GRADED POLYNOMIAL-IDENTITIES | Algebra

16R10 | Graded polynomial identities | 16R50 | Superalgebras | Superexponent | Mathematics, general | Mathematics | Minimal supervarieties | 16W55 | MATHEMATICS | PI ALGEBRAS | CODIMENSION GROWTH | EXPONENTIAL-GROWTH | GRADED POLYNOMIAL-IDENTITIES | Algebra

Journal Article

Communications in Algebra, ISSN 0092-7872, 08/2014, Volume 42, Issue 8, pp. 3578 - 3592

We realize Leavitt path algebras as partial skew group rings and give new proofs, based on partial skew group ring theory of the Cuntz-Krieger uniqueness...

Partial skew group rings | Leavitt path algebras | MATHEMATICS | 16D70 | C-ASTERISK-ALGEBRAS | CLASSIFICATION | 16W55 | 16G99 | Uniqueness theorems | Algebra | Criteria | Proving | Rings (mathematics)

Partial skew group rings | Leavitt path algebras | MATHEMATICS | 16D70 | C-ASTERISK-ALGEBRAS | CLASSIFICATION | 16W55 | 16G99 | Uniqueness theorems | Algebra | Criteria | Proving | Rings (mathematics)

Journal Article

Forum Mathematicum, ISSN 0933-7741, 05/2019, Volume 31, Issue 3, pp. 543 - 562

Given a partial action π of an inverse semigroup on a ring , one may construct its associated skew inverse semigroup ring . Our main result asserts that, when...

16S99 | inverse semigroup | partial action | 22A22 | Steinberg algebra | 37B05 | Skew inverse semigroup ring | 16W22 | 16W55 | MATHEMATICS | MATHEMATICS, APPLIED | ETALE GROUPOID ALGEBRAS | C-ASTERISK-ALGEBRAS | IDEAL STRUCTURE | LEAVITT PATH ALGEBRAS | CROSSED-PRODUCTS | Naturvetenskap | Algebra and Logic | Algebra och logik | Mathematics | Natural Sciences | Matematik

16S99 | inverse semigroup | partial action | 22A22 | Steinberg algebra | 37B05 | Skew inverse semigroup ring | 16W22 | 16W55 | MATHEMATICS | MATHEMATICS, APPLIED | ETALE GROUPOID ALGEBRAS | C-ASTERISK-ALGEBRAS | IDEAL STRUCTURE | LEAVITT PATH ALGEBRAS | CROSSED-PRODUCTS | Naturvetenskap | Algebra and Logic | Algebra och logik | Mathematics | Natural Sciences | Matematik

Journal Article

Monatshefte für Mathematik, ISSN 0026-9255, 8/2016, Volume 180, Issue 4, pp. 833 - 852

We apply the theory of generalized polynomial identities with automorphisms and skew derivations to prove the following theorem: Let A be a prime ring with the...

Prime ring | Automorphism | Skew derivation | Mathematics, general | 16W25 | Mathematics | Generalized polynomial identity (GPI) | 16W20 | 16W55 | IDENTITIES | NILPOTENT VALUES | AUTOMORPHISMS | BANACH-ALGEBRAS | PRIME-RINGS | MATHEMATICS | COMMUTATIVITY | SEMIPRIME RINGS | CENTRALIZING MAPPINGS

Prime ring | Automorphism | Skew derivation | Mathematics, general | 16W25 | Mathematics | Generalized polynomial identity (GPI) | 16W20 | 16W55 | IDENTITIES | NILPOTENT VALUES | AUTOMORPHISMS | BANACH-ALGEBRAS | PRIME-RINGS | MATHEMATICS | COMMUTATIVITY | SEMIPRIME RINGS | CENTRALIZING MAPPINGS

Journal Article

São Paulo Journal of Mathematical Sciences, ISSN 1982-6907, 12/2016, Volume 10, Issue 2, pp. 248 - 262

Giambruno and Zaicev (Trans Am Math Soc 355:5091–5117, 2003) characterized varieties of associative PI-algebras over a field of characteristic zero which are...

16R10 | 16W50 | Graded polynomial identities | Minimal varieties | Exponent | 16R50 | Mathematics, general | Mathematics | 16W55 | Codimension growth

16R10 | 16W50 | Graded polynomial identities | Minimal varieties | Exponent | 16R50 | Mathematics, general | Mathematics | 16W55 | Codimension growth

Journal Article

Monatshefte für Mathematik, ISSN 0026-9255, 9/2010, Volume 161, Issue 2, pp. 155 - 160

Let R be a prime ring and L a noncommutative Lie ideal of R. Suppose that f is a right generalized β-derivation of R associated with a β-derivation δ such that...

Prime ring | Automorphism | Skew derivation | Generalized skew derivation | Mathematics, general | 16W25 | Mathematics | Generalized polynomial identity (GPI) | 16W20 | Lie ideal | 16W55 | MATHEMATICS | DIFFERENTIAL IDENTITIES | PRIME-RINGS | Computer science

Prime ring | Automorphism | Skew derivation | Generalized skew derivation | Mathematics, general | 16W25 | Mathematics | Generalized polynomial identity (GPI) | 16W20 | Lie ideal | 16W55 | MATHEMATICS | DIFFERENTIAL IDENTITIES | PRIME-RINGS | Computer science

Journal Article

Advances in Applied Clifford Algebras, ISSN 0188-7009, 3/2017, Volume 27, Issue 1, pp. 165 - 183

This self-contained paper wants to precise the study of a real conformal spin structure in a strict sense over a pseudo-Riemannian or Riemannian 2r-dimensional...

Conformal U -Spin structure | Theoretical, Mathematical and Computational Physics | Conformal spin structure | U -Spin structure | 11E88 | 17B37 | Physics | Obstruction class | Mathematical Methods in Physics | 20C30 | 15A66 | Applications of Mathematics | Physics, general | Spin structure | 16W55 | Conformal U-Spin structure | U-Spin structure | MATHEMATICS, APPLIED | PHYSICS, MATHEMATICAL

Conformal U -Spin structure | Theoretical, Mathematical and Computational Physics | Conformal spin structure | U -Spin structure | 11E88 | 17B37 | Physics | Obstruction class | Mathematical Methods in Physics | 20C30 | 15A66 | Applications of Mathematics | Physics, general | Spin structure | 16W55 | Conformal U-Spin structure | U-Spin structure | MATHEMATICS, APPLIED | PHYSICS, MATHEMATICAL

Journal Article

Algebras and Representation Theory, ISSN 1386-923X, 2/2015, Volume 18, Issue 1, pp. 221 - 233

The finite dimensional simple superalgebras play an important role in the theory of PI-algebras in characteristic zero. The main goal of this paper is to...

16R10 | Associative Rings and Algebras | Polynomial identities | Codimensions | Growth | Non-associative Rings and Algebras | Superalgebras | Commutative Rings and Algebras | Mathematics | 16P90 | 16W55 | MATHEMATICS | IDENTITIES | PI-ALGEBRAS | EXPONENTIAL-GROWTH | Algebra

16R10 | Associative Rings and Algebras | Polynomial identities | Codimensions | Growth | Non-associative Rings and Algebras | Superalgebras | Commutative Rings and Algebras | Mathematics | 16P90 | 16W55 | MATHEMATICS | IDENTITIES | PI-ALGEBRAS | EXPONENTIAL-GROWTH | Algebra

Journal Article

Communications in Mathematical Physics, ISSN 0010-3616, 11/1991, Volume 141, Issue 3, pp. 599 - 617

For quantum deformations of finite-dimensional contragredient Lie (super)algebras we give an explicit formula for the universal R-matrix. This formula...

ANALOG | PHYSICS, MATHEMATICAL | YANG-BAXTER EQUATION | 17A70 | 16W55 | 16W30

ANALOG | PHYSICS, MATHEMATICAL | YANG-BAXTER EQUATION | 17A70 | 16W55 | 16W30

Journal Article

Communications in Algebra, ISSN 0092-7872, 04/2019, Volume 47, Issue 4, pp. 1662 - 1670

Triangular matrix rings are examples of trivial extensions. In this article, we describe the superderivations of the trivial extensions and upper triangular...

Primary: 16S50 | triangular matrix ring | trivial extension | Super-biderivation | superderivation | Secondary: 16W25 | superring | MATHEMATICS | DERIVATIONS | 16W55 | Questions | Rings (mathematics)

Primary: 16S50 | triangular matrix ring | trivial extension | Super-biderivation | superderivation | Secondary: 16W25 | superring | MATHEMATICS | DERIVATIONS | 16W55 | Questions | Rings (mathematics)

Journal Article

manuscripta mathematica, ISSN 0025-2611, 4/2009, Volume 128, Issue 4, pp. 483 - 504

Let A be an algebra over a field of characteristic zero with an additional structure of superalgebra or algebra with involution. The ordinary representation...

Geometry | Primary 16R10 | Topological Groups, Lie Groups | Calculus of Variations and Optimal Control; Optimization | Secondary 20C30 | Algebraic Geometry | Mathematics, general | Mathematics | Number Theory | 16W10 | 16W55 | MATHEMATICS | PI ALGEBRAS | POLYNOMIAL-IDENTITIES | CODIMENSION GROWTH

Geometry | Primary 16R10 | Topological Groups, Lie Groups | Calculus of Variations and Optimal Control; Optimization | Secondary 20C30 | Algebraic Geometry | Mathematics, general | Mathematics | Number Theory | 16W10 | 16W55 | MATHEMATICS | PI ALGEBRAS | POLYNOMIAL-IDENTITIES | CODIMENSION GROWTH

Journal Article

Czechoslovak Mathematical Journal, ISSN 0011-4642, 09/2018, Volume 68, Issue 3, pp. 661 - 675

Let (n) be a simple strange Lie superalgebra over the complex field a",. In a paper by A.Ayupov, K.Kudaybergenov (2016), the authors studied the local...

superderivation | local superderivation | 17B40 | 17B20 | simple Lie superalgebra | 16W55 | VON-NEUMANN-ALGEBRAS | MATHEMATICS | MEASURABLE OPERATORS | DERIVATIONS | SUBALGEBRAS | Algebra

superderivation | local superderivation | 17B40 | 17B20 | simple Lie superalgebra | 16W55 | VON-NEUMANN-ALGEBRAS | MATHEMATICS | MEASURABLE OPERATORS | DERIVATIONS | SUBALGEBRAS | Algebra

Journal Article

Algebras and Representation Theory, ISSN 1386-923X, 12/2017, Volume 20, Issue 6, pp. 1505 - 1529

Let F be a field of characteristic zero. We study two minimal superalgebras A and B having the same superexponent but such that T 2 (A) ⫋ T 2 (B), thus...

Associative Rings and Algebras | Polynomial identities | Codimensions | Superalgebra | Cocharacters | Non-associative Rings and Algebras | Superexponent | Primary 16R50 | Commutative Rings and Algebras | Secondary 16W50 | Mathematics | 16W55

Associative Rings and Algebras | Polynomial identities | Codimensions | Superalgebra | Cocharacters | Non-associative Rings and Algebras | Superexponent | Primary 16R50 | Commutative Rings and Algebras | Secondary 16W50 | Mathematics | 16W55

Journal Article

Open Mathematics, ISSN 2391-5455, 03/2018, Volume 16, Issue 1, pp. 196 - 209

In the paper, we study Lie superderivations and generalized Lie superderivations of superalgebras, using the theory of functional identities in superalgebras....

Functional identity | Superalgebra | Generalized Lie | 17A70 | Lie | superderivation | 16W10 | 16W55 | Lie n superderivation | Generalized Lie n superderivation | MAP CONJECTURES | SUPERHOMOMORPHISMS | MATHEMATICS | D-FREE SUBSETS | MAPPINGS | DERIVATIONS | FUNCTIONAL IDENTITIES | PRIME-RINGS | superalgebra | generalized lie n superderivation | 17a70 | lie n superderivation | functional identity | 16w10 | 16w55

Functional identity | Superalgebra | Generalized Lie | 17A70 | Lie | superderivation | 16W10 | 16W55 | Lie n superderivation | Generalized Lie n superderivation | MAP CONJECTURES | SUPERHOMOMORPHISMS | MATHEMATICS | D-FREE SUBSETS | MAPPINGS | DERIVATIONS | FUNCTIONAL IDENTITIES | PRIME-RINGS | superalgebra | generalized lie n superderivation | 17a70 | lie n superderivation | functional identity | 16w10 | 16w55

Journal Article

Monatshefte für Mathematik, ISSN 0026-9255, 5/2005, Volume 145, Issue 1, pp. 1 - 10

An alternative approach to the study of Jordan ideals in associative algebras is considered. The same method can be used when analogous questions in graded...

2000 Mathematics Subject Classifications: 16W10, 16W50, 16W55, 17C50, 46H10 | Mathematics, general | Jordan ideal, associative algebra, ɛ-Jordan ideal, graded algebra, involution | Mathematics | ε-Jordan ideal | Involution | Graded algebra | Jordan ideal | Associative algebra | MATHEMATICS | associative algebra | epsilon-Jordan ideal | graded algebra | RINGS | LIE | SUPERALGEBRAS | involution | ASSOCIATIVE GRADED ALGEBRAS

2000 Mathematics Subject Classifications: 16W10, 16W50, 16W55, 17C50, 46H10 | Mathematics, general | Jordan ideal, associative algebra, ɛ-Jordan ideal, graded algebra, involution | Mathematics | ε-Jordan ideal | Involution | Graded algebra | Jordan ideal | Associative algebra | MATHEMATICS | associative algebra | epsilon-Jordan ideal | graded algebra | RINGS | LIE | SUPERALGEBRAS | involution | ASSOCIATIVE GRADED ALGEBRAS

Journal Article

Communications in Mathematical Physics, ISSN 0010-3616, 12/1991, Volume 142, Issue 3, pp. 567 - 588

The left spectrum of a wide class of the algebras of skew differential operators is described. As a sequence, we determine and classify all the algebraically...

PHYSICS, MATHEMATICAL | 81R50 | 16S32 | 17B37 | 16W55

PHYSICS, MATHEMATICAL | 81R50 | 16S32 | 17B37 | 16W55

Journal Article

Algebras and Representation Theory, ISSN 1386-923X, 8/2015, Volume 18, Issue 4, pp. 895 - 906

Let H be a finite-dimensional Hopf algebra acting on an algebra A. Then A is called an H-algebra whenever H acts on products in A via the coproduct. For...

16W50 | Non-associative Rings and Algebras | Commutative Rings and Algebras | Mathematics | Graded algebras | Algebras with involution | Automorphisms | Invariants | Actions by Hopf algebras | Associative Rings and Algebras | Anti-derivations | 17B40 | Skew invariants | 16T05 | 16W25 | 17B70 | 17B60 | Derivations | Hopf algebras | 16W10 | Anti-automorphisms | 16W22 | 16W55 | RINGS | MATHEMATICS | LIE GRADINGS

16W50 | Non-associative Rings and Algebras | Commutative Rings and Algebras | Mathematics | Graded algebras | Algebras with involution | Automorphisms | Invariants | Actions by Hopf algebras | Associative Rings and Algebras | Anti-derivations | 17B40 | Skew invariants | 16T05 | 16W25 | 17B70 | 17B60 | Derivations | Hopf algebras | 16W10 | Anti-automorphisms | 16W22 | 16W55 | RINGS | MATHEMATICS | LIE GRADINGS

Journal Article

07/2006

Int Math Res Notices Vol. 2007: article ID rnm122, 30 pages We prove the conjectures on dimensions and characters of some quadratic algebras stated by...

Mathematics - Rings and Algebras

Mathematics - Rings and Algebras

Journal Article

12/2002

J. Phys. A 36, 4395-4405 (2003) Let Cl(V,g) be the real Clifford algebra associated to the real vector space V, endowed with a nondegenerate metric g. In this...

Journal Article

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