Minimal projective resolutions

DOI10.1090/S0002-9947-01-02687-3zbMath0985.16005MaRDI QIDQ2719054

Øyvind Solberg, Edward Lee Green, Dan Zacharia

Publication date: 14 May 2001

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

finite dimensional algebrasquiverspath algebrasminimal projective resolutions

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Resolutions; derived functors (category-theoretic aspects) (18G10) Representations of quivers and partially ordered sets (16G20) Syzygies, resolutions, complexes in associative algebras (16E05)

Related Items (30)

\(d\)-Koszul algebras. ⋮ Finite generation of Ext for a generalization of \(D\)-Koszul algebras. ⋮ THE HOCHSCHILD COHOMOLOGY RING OF A CLASS OF SPECIAL BISERIAL ALGEBRAS ⋮ Yoneda \(A_\infty\)-algebras and lattices of vector spaces ⋮ Hochschild cohomology, finiteness conditions and a generalization of d-Koszul algebras ⋮ \(d\)-Koszul algebras, 2-\(d\)-determined algebras and 2-\(d\)-Koszul algebras. ⋮ Hochschild cohomology for a class of some self-injective special biserial algebras of rank four. ⋮ The Ext-algebra and associated monomial algebra of a finite dimensional \(K\)-algebra ⋮ A family of Koszul self-injective algebras with finite Hochschild cohomology. ⋮ A proof of the strong no loop conjecture. ⋮ A non-commutative \(F_5\) algorithm with an application to the computation of Loewy layers. ⋮ The strong no loop conjecture for mild algebras. ⋮ The Hochschild cohomology ring of the generalized preprojective algebra \(\mathbb B_n\). ⋮ An algorithmic approach to resolutions ⋮ A bimodule approach to the strong no loop conjecture. ⋮ On the Hochschild cohomology of tame Hecke algebras. ⋮ Some homological conjectures for quasi-stratified algebras. ⋮ On Hochschild cohomology rings of Fibonacci algebras. ⋮ A generalization of Castelnuovo-Mumford regularity for representations of noncommutative algebras. ⋮ Hochschild cohomology of relation extension algebras ⋮ On Hochschild Cohomology of a Self-injective Special Biserial Algebra Obtained by a Circular Quiver with Double Arrows ⋮ Hochschild cohomology rings of Temperley-Lieb algebras. ⋮ Self-injective algebras and the second Hochschild cohomology group. ⋮ Periodic string complexes over string algebras ⋮ Projective resolutions of simples of n-cubic algebras ⋮ Multiplicative bases, Gröbner bases, and right Gröbner bases ⋮ Full Graphs and Koszul Algebras I ⋮ Full Graphs and Koszul Algebras II ⋮ Algebras of Finite Global Dimension ⋮ Finite generation for Hochschild cohomology of Gorenstein monomial algebras

Cites Work

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• On the Dimension of Modules and Algebras, IV: Dimension of Residue Rings of Hereditary Rings
• Algebras and Quadratic Forms
• On the cohomology of incidence algebras of partially ordered sets
• On the Homology of Associative Algebras
• On the homology of quotients of path algebras
• Constructing projective resolutions

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