Comparison morphisms and the Hochschild cohomology ring of truncated quiver algebras.

DOI10.1016/j.jalgebra.2009.05.020zbMath1213.16005arXivmath/0603056OpenAlexW2087027018MaRDI QIDQ734781

Leandro Cagliero, Guillermo Ames, Paulo Tirao

Publication date: 13 October 2009

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

Full work available at URL: https://arxiv.org/abs/math/0603056

zbMATH Keywords

cohomology classespath algebrascup productsHochschild cohomology ringsresolutionschain complexesYoneda productstruncated quiver algebrascomparison morphisms

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Representations of quivers and partially ordered sets (16G20) Syzygies, resolutions, complexes in associative algebras (16E05)

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Comparison morphisms between two projective resolutions of monomial algebras ⋮ Koszul calculus for \(N\)-homogeneous algebras ⋮ The Gerstenhaber bracket of Hochschild cohomology of triangular quadratic monomial algebra ⋮ The ordinary quivers of Hochschild extension algebras for self-injective Nakayama algebras ⋮ Cyclic homology of truncated quiver algebras. ⋮ 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 ⋮ The Lie structure on the Hochschild cohomology of a modular group algebra. ⋮ On the first Hochschild cohomology of admissible algebras. ⋮ Notes on the Hochschild homology dimension and truncated cycles. ⋮ Rigid quivers and rigid algebras. ⋮ Hochschild cohomology rings of \(d\)-Koszul algebras. ⋮ A Batalin-Vilkovisky structure on the complete cohomology ring of a Frobenius algebra ⋮ Gerstenhaber Bracket on the Hochschild Cohomology via An Arbitrary Resolution

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