On Stable Equivalence of Tensor Products of Algebras

DOI10.1080/00927872.2013.852007zbMath1318.16012OpenAlexW2052950528MaRDI QIDQ5249901

Karolina Mroczyńska, Zygmunt Pogorzały

Publication date: 13 May 2015

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2013.852007

zbMATH Keywords

stable equivalences of Morita typeHochschild cohomology algebrascategories of self-injective algebras

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Module categories in associative algebras (16D90) Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Representations of associative Artinian rings (16G10)

Cites Work

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• Minimal resolutions of algebras
• Stable equivalences of Morita type for self-injective algebras and \(p\)-groups
• Twisted support varieties.
• Left-right projective bimodules and stable equivalences of Morita type
• The Hochschild cohomology ring of a selfinjective algebra of finite representation type
• Derived Equivalences As Derived Functors
• A new invariant of stable equivalences of Morita type
• Support varieties and Hochschild cohomology rings
• Transfer maps in Hochschild (co)homology and applications to stable and derived invariants and to the Auslander–Reiten conjecture
• Stable equivalences of adjoint type
• Invariance of Hochschild cohomology algebras under stable equivalences of Morita type.
• Stable equivalences of Morita type and stable Hochschild cohomology rings.

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