An invariant characterization of monomial algebras

DOI10.1080/00927879908826567zbMath0937.16017OpenAlexW2092896463MaRDI QIDQ4241660

Michael J. Bardzell, Edward Lee Green

Publication date: 9 March 2000

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

Full work available at URL: https://doi.org/10.1080/00927879908826567

zbMATH Keywords

finite dimensional algebrasGröbner basesEuler characteristicquiverspath algebrasHochschild cohomology groupsmonomial algebrasconstricted algebrasfinite Abelian group gradings

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) (Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Representations of quivers and partially ordered sets (16G20) Graded rings and modules (associative rings and algebras) (16W50) Computational aspects of associative rings (general theory) (16Z05)

Related Items (2)

Presentations of Monomial Algebras and Uniserial Modules ⋮ Elementary Superalgebras

Cites Work

• Simplicial cohomology is Hochschild cohomology
• Predicting syzygies over monomial relations algebras
• Finitistic dimensions of finite dimensional monomial algebras
• The cohomology ring of a monomial algebra.
• The alternating syzygy behavior of monomial algebras
• On the hochschild cohomology of finite dimensional algebras
• Synergy in the Theories of Gröbner Bases and Path Algebras

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