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Buchsbaum homogeneous algebras with minimal multiplicity
- Source :
-
Journal of Pure & Applied Algebra . Sep2007, Vol. 210 Issue 3, p735-749. 15p. - Publication Year :
- 2007
-
Abstract
- Abstract: In this paper we first give a lower bound on multiplicities for Buchsbaum homogeneous -algebras in terms of the dimension , the codimension , the initial degree , and the length of the local cohomology modules of . Next, we introduce the notion of Buchsbaum -algebras with minimal multiplicity of degree , and give several characterizations for those rings. In particular, we will show that those algebras have linear free resolutions. Further, we will give many examples of those algebras. [Copyright &y& Elsevier]
- Subjects :
- *MATHEMATICAL analysis
*ALGEBRA
*MULTIPLICITY (Mathematics)
*MATHEMATICS
Subjects
Details
- Language :
- English
- ISSN :
- 00224049
- Volume :
- 210
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Journal of Pure & Applied Algebra
- Publication Type :
- Academic Journal
- Accession number :
- 25035655
- Full Text :
- https://doi.org/10.1016/j.jpaa.2006.11.004