Projective resolutions of associative algebras and ambiguities.

DOI10.1016/j.jalgebra.2015.02.019zbMath1335.16006arXiv1406.2300OpenAlexW2963259667MaRDI QIDQ2345545

Sergio Chouhy, Andrea L. Solotar

Publication date: 22 May 2015

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

Full work available at URL: https://arxiv.org/abs/1406.2300

zbMATH Keywords

Hochschild cohomologyprojective resolutionsHochschild homologybimodule resolutionsNoetherian down-up algebras3-Calabi-Yau algebras

Mathematics Subject Classification ID

Rings arising from noncommutative algebraic geometry (16S38) (Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) (16S15) Syzygies, resolutions, complexes in associative algebras (16E05)

Related Items (16)

Homological invariants relating the super Jordan plane to the Virasoro algebra ⋮ Generating degrees for graded projective resolutions ⋮ Gerstenhaber structure on Hochschild cohomology of toupie algebras ⋮ The first Hochschild cohomology as a Lie algebra ⋮ The Ext-algebra and associated monomial algebra of a finite dimensional \(K\)-algebra ⋮ Anick resolution and the minimal projective resolution of \(U_q^+(C_3)\) ⋮ Homotopy lifting maps on Hochschild cohomology and connections to deformation of algebras using reduction systems ⋮ A lattice formulation of the noncommutative F4 procedure ⋮ KOSZUL CALCULUS ⋮ Isomorphisms of non-Noetherian down-up algebras ⋮ Hochschild homology and cohomology of down-up algebras ⋮ Gerstenhaber brackets on Hochschild cohomology of general twisted tensor products ⋮ Syzygies among reduction operators ⋮ Algebras and varieties ⋮ Lie structure on the Hochschild cohomology of a family of subalgebras of the Weyl algebra ⋮ On quasi-hereditary algebras

Cites Work

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