On the hochschild cohomology of truncated cycle algebras

DOI10.1080/00927870008826917zbMath0958.16011OpenAlexW1998243890MaRDI QIDQ4947102

Michael J. Bardzell, Ana Claudia Locateli, Eduardo do N. Marcos

Publication date: 2 April 2001

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

Full work available at URL: https://doi.org/10.1080/00927870008826917

zbMATH Keywords

Hochschild cohomology groupsHochschild cohomology ringsYoneda productsoriented cycles

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Representations of quivers and partially ordered sets (16G20)

Related Items (19)

The Gerstenhaber bracket of Hochschild cohomology of triangular quadratic monomial algebra ⋮ Tate-Hochschild cohomology rings for eventually periodic Gorenstein algebras ⋮ The Hochschild Cohomology Ring of a One Point Extension ⋮ THE FIRST COHOMOLOGY GROUP OF THE TRIVIAL EXTENSION OF A MONOMIAL ALGEBRA ⋮ The ordinary quivers of Hochschild extension algebras for self-injective Nakayama algebras ⋮ Koszul duality patterns in Floer theory ⋮ Hochschild cohomology of triangular string algebras and its ring structure. ⋮ The dimension formula of the cyclic homology of truncated quiver algebras over a field of positive characteristic. ⋮ Batalin-Vilkovisky algebra structures on the Hochschild cohomology of self-injective Nakayama algebras ⋮ Gerstenhaber algebra structure on the Hochschild cohomology of quadratic string algebras ⋮ Hochschild cohomology and dominant dimension ⋮ Hochschild (co)homology of a class of Nakayama algebras. ⋮ The first cohomology group of an algebra with coefficients in a bimodule ⋮ Hochschild cohomology rings of \(d\)-Koszul algebras. ⋮ On Hochschild cohomology rings of Fibonacci algebras. ⋮ Hochschild cohomology of truncated quiver algebras. ⋮ Comparison morphisms and the Hochschild cohomology ring of truncated quiver algebras. ⋮ Hochschild Cohomology of an Algebra Associated with a Circular Quiver ⋮ Hochschild cohomology of triangular matrix algebras

Cites Work

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• The cohomology ring of a monomial algebra.
• The alternating syzygy behavior of monomial algebras
• Hochschild cohomology of truncated basic cycle
• Derived categories and stable equivalence
• Morita Theory for Derived Categories
• Twisted bimodules and Hochschild cohomology for self-injective algebras of class An

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