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Titled-Koszul algebras, 2-d-determined algebras and 2-d-Koszul algebras
Author(s) Edward L. Green, E.N. Marcos
TypeArticle in Journal
AbstractThe relationship between an algebra and its associated monomial algebra is investigated when at least one of the algebras is d -Koszul. It is shown that an algebra which has a reduced Gröbnerbasis that is composed of homogeneous elements of degree d is d -Koszul if and only if its associated monomial algebra is d -Koszul. The class of 2- d -determined algebras and the class 2- d -Koszul algebras are introduced. In particular, it is shown that 2- d -determined monomial algebras are 2- d -Koszul algebras and the structure of the ideal of relations of such an algebra is completely determined.
ISSN0022-4049
URL http://www.sciencedirect.com/science/article/pii/S0022404910001027
LanguageEnglish
JournalJournal of Pure and Applied Algebra
Volume215
Number4
Pages439 - 449
Year2011
Edition0
Translation No
Refereed No
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