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BALANCE FOR TATE COHOMOLOGY WITH RESPECT TO SEMIDUALIZING MODULES.
- Source :
-
Journal of the Australian Mathematical Society . Oct2013, Vol. 95 Issue 2, p223-240. 18p. - Publication Year :
- 2013
-
Abstract
- In this paper, we further study Tate cohomology of modules over a commutative ring with respect to semidualizing modules using the ideals of Sather-Wagstaff et al. [‘Tate cohomology with respect to semidualizing modules’, J. Algebra 324 (2010), 2336–2368]. In particular, we prove a balance result for the Tate cohomology ${\widehat{\mathrm{Ext} }}^{n} $ for any $n\in \mathbb{Z} $. This result complements the work of Sather-Wagstaff et al., who proved that the result holds for any $n\geq 1$. We also discuss some vanishing properties of Tate cohomology. [ABSTRACT FROM PUBLISHER]
- Subjects :
- *MODULES (Algebra)
*COHOMOLOGY theory
*COMMUTATIVE rings
*ALGEBRA
*MATHEMATICS
Subjects
Details
- Language :
- English
- ISSN :
- 14467887
- Volume :
- 95
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Journal of the Australian Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 92969606
- Full Text :
- https://doi.org/10.1017/S1446788713000232