Displaying similar documents to “Galois coverings and the problem of axiomatization of the representation type of algebras.”

Ext-algebras and derived equivalences

Dag Madsen (2006)

Colloquium Mathematicae

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Using derived categories, we develop an alternative approach to defining Koszulness for positively graded algebras where the degree zero part is not necessarily semisimple.

Hochschild Cohomology of skew group rings and invariants

E. Marcos, R. Martínez-Villa, Ma. Martins (2004)

Open Mathematics

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Let A be a k-algebra and G be a group acting on A. We show that G also acts on the Hochschild cohomology algebra HH ⊙ (A) and that there is a monomorphism of rings HH ⊙ (A) G→HH ⊙ (A[G]). That allows us to show the existence of a monomorphism from HH ⊙ (Ã) G into HH ⊙ (A), where à is a Galois covering with group G.

On some recent results about the graded Gelfand-Kirillov dimension of graded PI-algebras

Centrone, Lucio (2012)

Serdica Mathematical Journal

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2010 Mathematics Subject Classification: 16R10, 16W55, 15A75. We survey some recent results on graded Gelfand-Kirillov dimension of PI-algebras over a field F of characteristic 0. In particular, we focus on verbally prime algebras with the grading inherited by that of Vasilovsky and upper triangular matrices, i.e., UTn(F), UTn(E) and UTa,b(E), where E is the infinite dimensional Grassmann algebra.