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The multiplicity and the Cohen–Macaulayness of extended Rees algebras of equimultiple ideals
- Source :
-
Journal of Pure & Applied Algebra . Jun2006, Vol. 205 Issue 3, p498-509. 12p. - Publication Year :
- 2006
-
Abstract
- Abstract: Let I be an equimultiple ideal of Noetherian local ring A. This paper gives some multiplicity formulas of the extended Rees algebras In the case A generalized Cohen–Macaulay, we determine when T is Cohen–Macaulay and as an immediate consequence we obtain e.g., some criteria for the Cohen–Macaulayness of Rees algebra over a Cohen–Macaulay ring in terms of reduction numbers and ideals. [Copyright &y& Elsevier]
- Subjects :
- *NOETHERIAN rings
*RING theory
*ALGEBRA
*MATHEMATICS
Subjects
Details
- Language :
- English
- ISSN :
- 00224049
- Volume :
- 205
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Journal of Pure & Applied Algebra
- Publication Type :
- Academic Journal
- Accession number :
- 20032839
- Full Text :
- https://doi.org/10.1016/j.jpaa.2005.07.018