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When are torsionless modules projective?
- Source :
-
Journal of Algebra . Sep2008, Vol. 320 Issue 5, p2156-2164. 9p. - Publication Year :
- 2008
-
Abstract
- Abstract: In this paper, we study the problem when a finitely generated torsionless module is projective. Let Λ be an Artinian local algebra with radical square zero. Then a finitely generated torsionless Λ-module M is projective if . For a commutative Artinian ring Λ, a finitely generated torsionless Λ-module M is projective if the following conditions are satisfied: (1) for ; and (2) for . As a consequence of this result, we have that for a commutative Artinian ring Λ, a finitely generated Gorenstein projective Λ-module is projective if and only if it is selforthogonal. [Copyright &y& Elsevier]
- Subjects :
- *TORSION theory (Algebra)
*ALGEBRA
*MATHEMATICAL analysis
*MATHEMATICS
Subjects
Details
- Language :
- English
- ISSN :
- 00218693
- Volume :
- 320
- Issue :
- 5
- Database :
- Academic Search Index
- Journal :
- Journal of Algebra
- Publication Type :
- Academic Journal
- Accession number :
- 33467385
- Full Text :
- https://doi.org/10.1016/j.jalgebra.2008.04.027