Comparison morphisms between two projective resolutions of monomial algebras

zbMath1398.16008arXiv1612.02308MaRDI QIDQ4691825

Lucrecia Román, Maria Julia Redondo

Publication date: 24 October 2018

Full work available at URL: https://arxiv.org/abs/1612.02308

zbMATH Keywords

Hochschild cohomologymonomial algebraBardzell's resolution

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Syzygies, resolutions, complexes in associative algebras (16E05) Associative rings and algebras with additional structure (16W99)

Related Items

Morita invariance for infinitesimal deformations ⋮ Batalin-Vilkovisky algebra structures on the Hochschild cohomology of self-injective Nakayama algebras ⋮ A Batalin-Vilkovisky structure on the complete cohomology ring of a Frobenius algebra ⋮ Gerstenhaber Bracket on the Hochschild Cohomology via An Arbitrary Resolution ⋮ \(L_{\infty}\)-structure on Bardzell's complex for monomial algebras

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• An alternate approach to the Lie bracket on Hochschild cohomology
• Comparison morphisms and the Hochschild cohomology ring of truncated quiver algebras.
• The alternating syzygy behavior of monomial algebras
• A little bit of extra functoriality for Ext and the computation of the Gerstenhaber bracket
• Gerstenhaber algebra structure on the Hochschild cohomology of quadratic string algebras
• The cohomology structure of an associative ring
• On the cohomology groups of an associative algebra
• MULTIPLICATIVE STRUCTURES FOR KOSZUL ALGEBRAS
• An exact sequence interpretation of the Lie bracket in Hochschild cohomology
• THE LIE ALGEBRA STRUCTURE ON THE FIRST HOCHSCHILD COHOMOLOGY GROUP OF A MONOMIAL ALGEBRA