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- Title
Vanishing Properties of Dual Bass Numbers.
- Authors
Li, Lingguang
- Abstract
Let R be a Noetherian ring, M an Artinian R-module, and ๐ โ RM. Then cogradeR๐HomR (R๐,M) =inf{i | ฯi(๐,M) > 0} and ฯi(๐,M) > 0 โ cogradeR๐HomR(R๐,M) โค i โค fdR๐ HomR(R๐,M), where ฯi(๐,M) is the i-th dual Bass number of M with respect to ๐, cogradeR๐HomR(R๐,M) is the common length of any maximal HomR(R๐,M)-quasi co-regular sequence contained in ๐ R๐, and fdR๐HomR(R๐,M) is the flat dimension of the R๐-module HomR(R๐,M). We also study the relations among cograde, co-dimension and flat dimension of co-localization modules.
- Subjects
NOETHERIAN rings; ARTIN rings; MODULES (Algebra); MATHEMATICAL sequences; LOCALIZATION (Mathematics); ALGEBRAIC number theory
- Publication
Algebra Colloquium, 2014, Vol 21, Issue 1, p167
- ISSN
1005-3867
- Publication type
Article
- DOI
10.1142/S1005386714000133