Communications in Algebra, ISSN 0092-7872, 07/2018, Volume 46, Issue 7, pp. 3014 - 3032

We show that if A is a finite-dimensional associative H-module algebra for an arbitrary Hopf algebra H, then the proof of the analog of Amitsur's conjecture...

skew-derivation | Ore extension | H-simple algebra | polynomial identity | Primary 16R10 | Associative algebra | Secondary 16R50, 16T05, 16W25 | Taft algebra | H-module algebra | codimension | POINTED HOPF-ALGEBRAS | SEMIGROUP GRADED ALGEBRAS | MATHEMATICS | ASSOCIATIVE ALGEBRAS | CODIMENSION GROWTH | RADICALS | Algebra | Mathematics - Rings and Algebras

skew-derivation | Ore extension | H-simple algebra | polynomial identity | Primary 16R10 | Associative algebra | Secondary 16R50, 16T05, 16W25 | Taft algebra | H-module algebra | codimension | POINTED HOPF-ALGEBRAS | SEMIGROUP GRADED ALGEBRAS | MATHEMATICS | ASSOCIATIVE ALGEBRAS | CODIMENSION GROWTH | RADICALS | Algebra | Mathematics - Rings and Algebras

Journal Article

Journal of Pure and Applied Algebra, ISSN 0022-4049, 08/2015, Volume 219, Issue 8, pp. 3279 - 3291

Algebras simple with respect to an action of a Taft algebra Hm2(ζ) deliver an interesting example of H-module algebras that are H-simple but not necessarily...

MATHEMATICS | MATHEMATICS, APPLIED | GRADED ALGEBRAS | ASSOCIATIVE ALGEBRAS | GROUP GRADINGS | IDENTITIES | Algebra | Mathematics - Rings and Algebras

MATHEMATICS | MATHEMATICS, APPLIED | GRADED ALGEBRAS | ASSOCIATIVE ALGEBRAS | GROUP GRADINGS | IDENTITIES | Algebra | Mathematics - Rings and Algebras

Journal Article

Journal of Algebra and its Applications, ISSN 0219-4988, 03/2015, Volume 14, Issue 1, pp. 1450077 - 1-1450077-15

Algebras simple with respect to an action of Sweedler's algebra H-4 deliver the easiest example of H-module algebras that are H-simple but not necessarily...

skew-derivation | Sweedler's algebra | polynomial identity | H-module algebra | Associative algebra | codimension | MATHEMATICS | MATHEMATICS, APPLIED | ASSOCIATIVE ALGEBRAS | IDENTITIES | GRADED ALGEBRAS | Polynomials | Algebra | Automorphisms | Preserving | Mathematics - Rings and Algebras

skew-derivation | Sweedler's algebra | polynomial identity | H-module algebra | Associative algebra | codimension | MATHEMATICS | MATHEMATICS, APPLIED | ASSOCIATIVE ALGEBRAS | IDENTITIES | GRADED ALGEBRAS | Polynomials | Algebra | Automorphisms | Preserving | Mathematics - Rings and Algebras

Journal Article

Algebras and Representation Theory, ISSN 1386-923X, 4/2014, Volume 17, Issue 2, pp. 539 - 563

Suppose a finite dimensional semisimple Lie algebra $\mathfrak g$ acts by derivations on a finite dimensional associative or Lie algebra A over a field of...

16W50 | Primary 16R10 | Affine algebraic group | 16R50 | Non-associative Rings and Algebras | Associative algebra | Wedderburn—Mal’cev Theorem | Levi Theorem | Polynomial identity | Derivation | Commutative Rings and Algebras | H -module algebra | Secondary 17B01 | Mathematics | Hopf algebra | Associative Rings and Algebras | Codimension | 17B40 | 16T05 | 16W25 | Lie algebra | Grading | 16W20 | 16W22 | Wedderburn - Mal'cev Theorem | H-module algebra | HOPF-ALGEBRAS | NONASSOCIATIVE-ALGEBRAS | EXPONENTIAL-GROWTH | Wedderburn-Mal'cev Theorem | LIE-ALGEBRAS | MATHEMATICS | GRADED ALGEBRAS | Algebra

16W50 | Primary 16R10 | Affine algebraic group | 16R50 | Non-associative Rings and Algebras | Associative algebra | Wedderburn—Mal’cev Theorem | Levi Theorem | Polynomial identity | Derivation | Commutative Rings and Algebras | H -module algebra | Secondary 17B01 | Mathematics | Hopf algebra | Associative Rings and Algebras | Codimension | 17B40 | 16T05 | 16W25 | Lie algebra | Grading | 16W20 | 16W22 | Wedderburn - Mal'cev Theorem | H-module algebra | HOPF-ALGEBRAS | NONASSOCIATIVE-ALGEBRAS | EXPONENTIAL-GROWTH | Wedderburn-Mal'cev Theorem | LIE-ALGEBRAS | MATHEMATICS | GRADED ALGEBRAS | Algebra

Journal Article

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