Article
Remarks on Balance in Generalized Tate Cohomology
Archiv der Mathematik
(2005)
Abstract
We consider two pairs of complete hereditary cotorsion theories (P,M),(M,I)and(C,L)(L,E) on the category of left R-modules, such that P⊂C. We prove that for any left R-modules M, N and for any n ≧ 1, the generalized Tate cohomology modules ExtˆnC,P(M,N) can be computed either using a left C - resolution of M and a left P - resolution of M or using a right E-and a right I - resolution of N.
Keywords
- Generalized Tate cohomology,
- Balance
Disciplines
Publication Date
Summer October, 2005
DOI
10.1007/s00013-005-1399-6
Citation Information
Alina Iacob. "Remarks on Balance in Generalized Tate Cohomology" Archiv der Mathematik Vol. 85 Iss. 4 (2005) p. 335 - 344 ISSN: 1420-8938 Available at: http://works.bepress.com/alina_iacob/45/