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PERIODIC SHORT EXACT SEQUENCES AND PERIODIC PURE-EXACT SEQUENCES.
- Source :
-
Journal of Algebra & Its Applications . Dec2010, Vol. 9 Issue 6, p859-870. 12p. - Publication Year :
- 2010
-
Abstract
- Benson and Goodearl [Periodic flat modules, and flat modules for finite groups, Pacific J. Math.196(1) (2000) 45-67] proved that if M is a flat module over a ring R such that there exists an exact sequence of R-modules 0 → M → P → M → 0 with P a projective module, then M is projective. The main purpose of this paper is to generalize this theorem to any exact sequence of the form 0 → M → G → M → 0, where G is an arbitrary module over R. Moreover, we seek counterpart entities in the Gorenstein homological algebra of pure projective and pure injective modules. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 02194988
- Volume :
- 9
- Issue :
- 6
- Database :
- Academic Search Index
- Journal :
- Journal of Algebra & Its Applications
- Publication Type :
- Academic Journal
- Accession number :
- 56508043
- Full Text :
- https://doi.org/10.1142/S021949881000421X