THE HOCHSCHILD COHOMOLOGY RING MODULO NILPOTENCE OF A MONOMIAL ALGEBRA

DOI10.1142/S0219498806001648zbMath1110.16009arXivmath/0401446MaRDI QIDQ5470128

Nicole Snashall, Edward Lee Green, Øyvind Solberg

Publication date: 29 May 2006

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0401446

zbMATH Keywords

nilpotent elementsHochschild cohomology ringsfinite dimensional monomial algebras

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 (15)

Hochschild Cohomology of Quiver Algebras Defined by Two Cycles and a Quantum-Like Relation ⋮ Centers of partly (anti-)commutative quiver algebras and finite generation of the Hochschild cohomology ring ⋮ The Lie module structure on the Hochschild cohomology groups of monomial algebras with radical square zero. ⋮ THE HOCHSCHILD COHOMOLOGY RING OF A CLASS OF SPECIAL BISERIAL ALGEBRAS ⋮ Hochschild cohomology for a class of some self-injective special biserial algebras of rank four. ⋮ Hochschild cohomology of \(\mathbb Z_n\)-Galois coverings of an algebra. ⋮ Lie derivation and Hochschild cohomology of an extension of path algebras ⋮ On Hochschild Cohomology of a Self-injective Special Biserial Algebra Obtained by a Circular Quiver with Double Arrows ⋮ Comparison morphisms and the Hochschild cohomology ring of truncated quiver algebras. ⋮ Hochschild cohomology and stratifying ideals. ⋮ Hochschild Cohomology of Quiver Algebras Defined by Two Cycles and a Quantum-Like Relation II ⋮ On the Decomposition of the Hochschild Cohomology Group of a Monomial Algebra Satisfying a Separability Condition ⋮ The cohomology structure of string algebras. ⋮ Finite generation for Hochschild cohomology of Gorenstein monomial algebras ⋮ On the Hochschild (co)homology of a monomial algebra given by a cyclic quiver and two zero-relations

Cites Work

• The cohomology ring of a monomial algebra.
• The alternating syzygy behavior of monomial algebras
• Cohomology of finite group schemes over a field
• The Hochschild cohomology ring of a selfinjective algebra of finite representation type
• Support varieties and Hochschild cohomology rings

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