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TitleTesting flatness and computing rank of a module using syzygies.
Author(s) Oswaldo Lezama
TypeArticle in Journal
Abstract Using syzygies computed via Gröbner bases techniques, we present algorithms for testing some homological properties for submodules of the free module Am, where A=R[x1,,xn] and R is a Noetherian commutative ring. We will test if a given submodule M of Am is flat. We will also check if M is locally free of constant dimension. Moreover, we present an algorithm that computes the rank of a flat submodule M of Am and also an algorithm that computes the projective dimension of an arbitrary submodule of Am. All algorithms are illustrated with examples.
ISSN0010-1354; 1730-6302/e
URL http://journals.impan.pl/cgi-bin/doi?cm117-1-4
LanguageEnglish
JournalColloq. Math.
Volume117
Number1
Pages65--79
PublisherPolish Academy of Sciences (Polska Akademia Nauk - PAN), Institute of Mathematics (Instytut Matematy
Year2009
Edition0
Translation No
Refereed No
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