Journal of Algebra, ISSN 0021-8693, 07/2018, Volume 505, pp. 490 - 558

A finite-dimensional algebra A over an algebraically closed field K is called periodic if it is periodic under the action of the syzygy operator in the...

Periodic algebra | Surface algebra | Tame algebra | Syzygy | Self-injective algebra | STABLE EQUIVALENCE | BISERIAL ALGEBRAS | DEFORMED PREPROJECTIVE ALGEBRAS | GENERALIZED DYNKIN TYPE | SYMMETRIC ALGEBRAS | QUATERNION DEFECT-GROUPS | MATHEMATICS | POLYNOMIAL-GROWTH | CLUSTER ALGEBRAS | HOCHSCHILD COHOMOLOGY | SELF-INJECTIVE ALGEBRAS

Periodic algebra | Surface algebra | Tame algebra | Syzygy | Self-injective algebra | STABLE EQUIVALENCE | BISERIAL ALGEBRAS | DEFORMED PREPROJECTIVE ALGEBRAS | GENERALIZED DYNKIN TYPE | SYMMETRIC ALGEBRAS | QUATERNION DEFECT-GROUPS | MATHEMATICS | POLYNOMIAL-GROWTH | CLUSTER ALGEBRAS | HOCHSCHILD COHOMOLOGY | SELF-INJECTIVE ALGEBRAS

Journal Article

Journal of Algebra, ISSN 0021-8693, 05/2019, Volume 526, pp. 112 - 165

For a quiver with potential (Q,W) with an action of a finite cyclic group G, we study the skew group algebra ΛG of the Jacobian algebra Λ=P(Q,W). By a result...

2-representation finite algebra | Quiver with potential | Self-injective algebra | Skew group algebra | MATHEMATICS | CLUSTER CATEGORIES | QUIVERS | Algebra | Mathematics | Naturvetenskap | Natural Sciences | Algebra and Logic | Algebra och logik | Matematik

2-representation finite algebra | Quiver with potential | Self-injective algebra | Skew group algebra | MATHEMATICS | CLUSTER CATEGORIES | QUIVERS | Algebra | Mathematics | Naturvetenskap | Natural Sciences | Algebra and Logic | Algebra och logik | Matematik

Journal Article

Journal of Algebra, ISSN 0021-8693, 05/2013, Volume 382, pp. 185 - 202

Motivated by Morita (1958) [4, Section 16] we call a finite dimensional algebra A Morita algebra, if A is the endomorphism ring of a generator–cogenerator...

Self-injective algebras | Frobenius algebras | Endomorphism algebras | Faithful modules | MATHEMATICS | Algebra

Self-injective algebras | Frobenius algebras | Endomorphism algebras | Faithful modules | MATHEMATICS | Algebra

Journal Article

Advances in Mathematics, ISSN 0001-8708, 06/2019, Volume 349, pp. 1036 - 1116

We introduce and study the algebras of generalized quaternion type, being natural generalizations of algebras which occurred in the study of blocks of group...

Periodic algebra | Symmetric algebra | Tame algebra | Cohen-Macaulay module | Generalized quaternion type | Weighted surface algebra | QUIVERS | POTENTIALS | MATHEMATICS | FINITE | BLOCKS | PERIODIC RESOLUTIONS | CATEGORY | SELF-INJECTIVE ALGEBRAS

Periodic algebra | Symmetric algebra | Tame algebra | Cohen-Macaulay module | Generalized quaternion type | Weighted surface algebra | QUIVERS | POTENTIALS | MATHEMATICS | FINITE | BLOCKS | PERIODIC RESOLUTIONS | CATEGORY | SELF-INJECTIVE ALGEBRAS

Journal Article

Algebras and Representation Theory, ISSN 1386-923X, 4/2019, Volume 22, Issue 2, pp. 387 - 406

We introduce and study the higher tetrahedral algebras, an exotic family of finite-dimensional tame symmetric algebras over an algebraically closed field. The...

16G60 | Periodic algebra | Associative Rings and Algebras | Tame algebra | Syzygy | Non-associative Rings and Algebras | 16D50 | Commutative Rings and Algebras | Symmetric algebra | Mathematics | 16S80 | 16G20 | MATHEMATICS | TAME | FINITE | SELF-INJECTIVE ALGEBRAS | Computer science | Algebra

16G60 | Periodic algebra | Associative Rings and Algebras | Tame algebra | Syzygy | Non-associative Rings and Algebras | 16D50 | Commutative Rings and Algebras | Symmetric algebra | Mathematics | 16S80 | 16G20 | MATHEMATICS | TAME | FINITE | SELF-INJECTIVE ALGEBRAS | Computer science | Algebra

Journal Article

Communications in Algebra, ISSN 0092-7872, 04/2019, Volume 47, Issue 4, pp. 1568 - 1577

We prove that every deformed preprojective algebra of Dynkin type is isomorphic to the preprojective algebra of Dynkin type .

Preprojective algebra | Primary 16D50 | self-injective algebra | Secondary 16G50 | deformed preprojective algebra | periodic algebra | MATHEMATICS | 16G20 | Deformation | Algebra

Preprojective algebra | Primary 16D50 | self-injective algebra | Secondary 16G50 | deformed preprojective algebra | periodic algebra | MATHEMATICS | 16G20 | Deformation | Algebra

Journal Article

Mathematische Zeitschrift, ISSN 0025-5874, 4/2017, Volume 285, Issue 3, pp. 1091 - 1106

For a fixed finite dimensional algebra A, we study representation embeddings of the form $$mod(B)\rightarrow mod(A)$$ m o d ( B ) → m o d ( A ) . Such an...

Homological embedding | 16E30 | Preprojective algebra | Mathematics, general | Mathematics | 16G20 | Self-injective algebra | MATHEMATICS | CATEGORIES | TILTING MODULES | Algebra

Homological embedding | 16E30 | Preprojective algebra | Mathematics, general | Mathematics | 16G20 | Self-injective algebra | MATHEMATICS | CATEGORIES | TILTING MODULES | Algebra

Journal Article

Journal of Algebra, ISSN 0021-8693, 01/2014, Volume 397, pp. 365 - 378

We show that when constructing twisted trivial extensions for a graded self-injective algebra, the returning arrows appear in the quiver, and in the meantime...

Calabi–Yau algebra | Returning arrow | Self-injective algebra | Trivial extension | Artin–Schelter regular algebra | Artin-Schelter regular algebra | Calabi-Yau algebra | MATHEMATICS | MODULES | DIMENSION-3 | DEFORMATION | Algebra

Calabi–Yau algebra | Returning arrow | Self-injective algebra | Trivial extension | Artin–Schelter regular algebra | Artin-Schelter regular algebra | Calabi-Yau algebra | MATHEMATICS | MODULES | DIMENSION-3 | DEFORMATION | Algebra

Journal Article

Proceedings - Mathematical Sciences, ISSN 0253-4142, 11/2015, Volume 125, Issue 4, pp. 477 - 485

Let k be an algebraically closed field, A a finite dimensional connected (p,q)-Koszul self-injective algebra with p,q≥2. In this paper, we prove that the...

Yoneda algebras | Secondary: 16G20, 16E40 | self-injective algebras | Mathematics, general | Mathematics | Almost Koszul algebras | Primary: 16E05 | MATHEMATICS | Analysis | Algebra

Yoneda algebras | Secondary: 16G20, 16E40 | self-injective algebras | Mathematics, general | Mathematics | Almost Koszul algebras | Primary: 16E05 | MATHEMATICS | Analysis | Algebra

Journal Article

Algebras and Representation Theory, ISSN 1386-923X, 4/2019, Volume 22, Issue 2, pp. 425 - 435

Let k be an algebraically closed field. For a graded algebra, Mori introduced a notion of cogeometric pair (E, σ), where E ⊂ ℙ n − 1 $E\subset \mathbb...

Self-injective Koszul algebras | 16W50 | Hochschild cohomology rings | Non-associative Rings and Algebras | Koszul dual | Commutative Rings and Algebras | 16E05 | Mathematics | 16E40 | Associative Rings and Algebras | AS-regular algebras | 16D50 | Cogeometric algebras | Geometric algebras | 16S37 | 16S38 | MATHEMATICS | MODULES | SUPPORT VARIETIES | Algebra

Self-injective Koszul algebras | 16W50 | Hochschild cohomology rings | Non-associative Rings and Algebras | Koszul dual | Commutative Rings and Algebras | 16E05 | Mathematics | 16E40 | Associative Rings and Algebras | AS-regular algebras | 16D50 | Cogeometric algebras | Geometric algebras | 16S37 | 16S38 | MATHEMATICS | MODULES | SUPPORT VARIETIES | Algebra

Journal Article

Journal of Algebra, ISSN 0021-8693, 12/2015, Volume 443, pp. 200 - 269

Let A be an indecomposable representation-infinite tame finite-dimensional algebra of polynomial growth over an algebraically closed field. We prove that A is...

Periodic algebra | Orbit algebra | Syzygy | Galois covering | Tubular algebra | Polynomial growth | Self-injective algebra | GALOIS COVERINGS | SIMPLY CONNECTED ALGEBRAS | DEFORMED PREPROJECTIVE ALGEBRAS | GENERALIZED DYNKIN TYPE | SELFINJECTIVE ALGEBRAS | QUATERNION DEFECT-GROUPS | MATHEMATICS | TAME ALGEBRAS | HOCHSCHILD COHOMOLOGY | FINITE REPRESENTATION TYPE | WEAKLY SYMMETRIC ALGEBRAS | Computer science | Algebra

Periodic algebra | Orbit algebra | Syzygy | Galois covering | Tubular algebra | Polynomial growth | Self-injective algebra | GALOIS COVERINGS | SIMPLY CONNECTED ALGEBRAS | DEFORMED PREPROJECTIVE ALGEBRAS | GENERALIZED DYNKIN TYPE | SELFINJECTIVE ALGEBRAS | QUATERNION DEFECT-GROUPS | MATHEMATICS | TAME ALGEBRAS | HOCHSCHILD COHOMOLOGY | FINITE REPRESENTATION TYPE | WEAKLY SYMMETRIC ALGEBRAS | Computer science | Algebra

Journal Article

Communications in Algebra, ISSN 0092-7872, 11/2017, Volume 45, Issue 11, pp. 5014 - 5024

Let Γ n be the cone of an (n−1)-complete algebra over an algebraically closed field k. In this paper, we prove that if the bound quiver of Γ n is a truncation...

returning arrows | Primary: 16G10 | Secondary: 16S34 | Covering spaces | n-complete algebra | McKay quiver | MATHEMATICS | SELF-INJECTIVE ALGEBRAS | Algebra

returning arrows | Primary: 16G10 | Secondary: 16S34 | Covering spaces | n-complete algebra | McKay quiver | MATHEMATICS | SELF-INJECTIVE ALGEBRAS | Algebra

Journal Article

13.
Full Text
Finite-dimensional representations of minimal nilpotent W-algebras and zigzag algebras

Representation Theory of the American Mathematical Society, ISSN 1088-4165, 11/2018, Volume 22, Issue 8, pp. 223 - 245

Let \frak g be a simple finite-dimensional Lie algebra over an algebraically closed field \mathbb{F} of characteristic 0. We denote by \mathrm {U}(\frak g) the...

W-algebras | Zigzag algebras | Self-injective modules | Primitive ideals | MATHEMATICS | SLICES | self-injective modules | MODULES | PRIMITIVE-IDEALS | ENVELOPING-ALGEBRAS | VARIETIES | CLASSIFICATION | SEMISIMPLE LIE-ALGEBRA | zigzag algebras

W-algebras | Zigzag algebras | Self-injective modules | Primitive ideals | MATHEMATICS | SLICES | self-injective modules | MODULES | PRIMITIVE-IDEALS | ENVELOPING-ALGEBRAS | VARIETIES | CLASSIFICATION | SEMISIMPLE LIE-ALGEBRA | zigzag algebras

Journal Article

Semigroup Forum, ISSN 0037-1912, 8/2015, Volume 91, Issue 1, pp. 213 - 223

We prove that the semigroup algebra of an ample semigroup $$S$$ S over a field is Frobenius if and only if $$S$$ S is a finite inverse semigroup.

Semigroup algebra | Mathematics | Algebra | Frobenius algebra | Ample semigroup | Right (left) self-injective algebra | MATHEMATICS

Semigroup algebra | Mathematics | Algebra | Frobenius algebra | Ample semigroup | Right (left) self-injective algebra | MATHEMATICS

Journal Article

Journal of Pure and Applied Algebra, ISSN 0022-4049, 04/2019, Volume 223, Issue 4, pp. 1548 - 1589

We describe the dimensions of low Hochschild cohomology spaces of exceptional periodic representation-infinite algebras of polynomial growth. As an application...

GALOIS COVERINGS | MATHEMATICS | MATHEMATICS, APPLIED | MODULES | FINITE | PREPROJECTIVE ALGEBRAS | SELFINJECTIVE ALGEBRAS | SELF-INJECTIVE ALGEBRAS | WEAKLY SYMMETRIC ALGEBRAS | EQUIVALENCE CLASSIFICATION | Computer science | Algebra

GALOIS COVERINGS | MATHEMATICS | MATHEMATICS, APPLIED | MODULES | FINITE | PREPROJECTIVE ALGEBRAS | SELFINJECTIVE ALGEBRAS | SELF-INJECTIVE ALGEBRAS | WEAKLY SYMMETRIC ALGEBRAS | EQUIVALENCE CLASSIFICATION | Computer science | Algebra

Journal Article

Journal of Pure and Applied Algebra, ISSN 0022-4049, 11/2018, Volume 222, Issue 11, pp. 3432 - 3447

We describe the structure of finite dimensional selfinjective algebras over an arbitrary field without short cycles of indecomposable modules.

GALOIS COVERINGS | MATHEMATICS | MATHEMATICS, APPLIED | TILTED ALGEBRAS | QUIVERS | TRIVIAL EXTENSIONS | SELF-INJECTIVE ALGEBRAS | FINITE REPRESENTATION TYPE

GALOIS COVERINGS | MATHEMATICS | MATHEMATICS, APPLIED | TILTED ALGEBRAS | QUIVERS | TRIVIAL EXTENSIONS | SELF-INJECTIVE ALGEBRAS | FINITE REPRESENTATION TYPE

Journal Article

Journal of Algebra, ISSN 0021-8693, 03/2016, Volume 449, pp. 22 - 49

We construct nontrivial auto-equivalences of stable module categories for elementary, local symmetric algebras over a field k. These auto-equivalences are...

Stable equivalence | Endo-trivial module | MATHEMATICS | ENDOTRIVIAL MODULES | FINITE | P-GROUPS | SELF-INJECTIVE ALGEBRAS | CATEGORIES | AUTOEQUIVALENCES | Analysis | Algebra

Stable equivalence | Endo-trivial module | MATHEMATICS | ENDOTRIVIAL MODULES | FINITE | P-GROUPS | SELF-INJECTIVE ALGEBRAS | CATEGORIES | AUTOEQUIVALENCES | Analysis | Algebra

Journal Article

manuscripta mathematica, ISSN 0025-2611, 1/2017, Volume 152, Issue 1, pp. 199 - 222

In our preceding paper a generating set of the derived Picard group of a selfinjective Nakayama algebra was constructed combining some previous results for...

Geometry | Topological Groups, Lie Groups | Calculus of Variations and Optimal Control; Optimization | 18E30 | Mathematics, general | Algebraic Geometry | Mathematics | 16D90 | Number Theory | 20F36 | ARTIN GROUPS | MATHEMATICS | BRAID-GROUPS | COMPLEXES | EQUIVALENCES | HOCHSCHILD COHOMOLOGY | AUTOMORPHISMS | SELF-INJECTIVE ALGEBRAS | CATEGORIES | Algebra | Electric generators

Geometry | Topological Groups, Lie Groups | Calculus of Variations and Optimal Control; Optimization | 18E30 | Mathematics, general | Algebraic Geometry | Mathematics | 16D90 | Number Theory | 20F36 | ARTIN GROUPS | MATHEMATICS | BRAID-GROUPS | COMPLEXES | EQUIVALENCES | HOCHSCHILD COHOMOLOGY | AUTOMORPHISMS | SELF-INJECTIVE ALGEBRAS | CATEGORIES | Algebra | Electric generators

Journal Article

Journal of Algebra, ISSN 0021-8693, 03/2016, Volume 450, pp. 458 - 486

Using the E-algebraic branching systems, various graded irreducible representations of a Leavitt path K-algebra L of a directed graph E are constructed. The...

Graded modules | Graded irreducible representations | Leavitt path algebras | Graded self-injective modules | Arbitrary graphs | Primitive ideals | Finitely presented graded simple modules | MATHEMATICS | SOCLE | SIMPLE MODULES | Algebra

Graded modules | Graded irreducible representations | Leavitt path algebras | Graded self-injective modules | Arbitrary graphs | Primitive ideals | Finitely presented graded simple modules | MATHEMATICS | SOCLE | SIMPLE MODULES | Algebra

Journal Article

Communications in Algebra, ISSN 0092-7872, 06/2016, Volume 44, Issue 6, pp. 2305 - 2335

We introduce and study the notion of pseudo-Frobenius graded algebra with enough idempotents, showing that it follows the pattern of the classical concept of...

Pseudo-Frobenius algebra | Nakayama automorphism | Self-injective algebra | 16Gxx | Covering functor | Nakayama form | Algebra | Representations | Mathematical analysis | Rings (mathematics)

Pseudo-Frobenius algebra | Nakayama automorphism | Self-injective algebra | 16Gxx | Covering functor | Nakayama form | Algebra | Representations | Mathematical analysis | Rings (mathematics)

Journal Article

No results were found for your search.

Cannot display more than 1000 results, please narrow the terms of your search.