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TitleMultiplicative Bases, Grobner Bases, and Right Grobner Bases
Author(s) Edward L. Green
TypeArticle in Journal
AbstractIn this paper, we study conditions on algebras with multiplicative bases so that there is a Grobner basis theory. We introduce right Grobner bases for a class of modules. We give an elimination theory and intersection theory for right submodules of projective modules in path algebras. Solutions to homogeneous systems of linear equations with coefficients in a quotient of a path algebra are studied via right Grobner basis theory.
Length23
CopyrightAcademic Press
File
URL dx.doi.org/10.1006/jsco.1999.0324
LanguageEnglish
JournalJournal of Symbolic Computation
Volume29
Number4
Pages601-623
PublisherElsevier Science
Year2000
MonthMay
Translation No
Refereed No
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