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Hochschild Cohomology of skew group rings and invariants

100%

Marcos E., Martínez-Villa R., Martins M.

Open Mathematics

2004

tom 2

nr 2

177-190

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 Ã is a Galois covering with group G.

Decompositions of the category of noncommutative sets and Hochschild and cyclic homology

84%

Słomińska J.

Open Mathematics

2003

tom 1

nr 3

327-331

In this note we show that the main results of the paper [PR] can be obtained as consequences of more general results concerning categories whose morphisms can be uniquely presented as compositions of morphisms of their two subcategories with the same objects. First we will prove these general results and then we will apply it to the case of finite noncommutative sets.

Ograniczanie wyników

2 Open Mathematics

1 Marcos E.

1 Martins M.

1 Martínez-Villa R.

1 Słomińska J.

1 2004

1 2003

Wyniki wyszukiwania

Hochschild Cohomology of skew group rings and invariants

Decompositions of the category of noncommutative sets and Hochschild and cyclic homology