Remarks on Balance in Generalized Tate Cohomology

Alina Iacob

Remarks on Balance in Generalized Tate Cohomology

Mathematical Sciences

Research output: Contribution to conference › Presentation

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 Extn/C,PM, 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.

Original language	American English
State	Published - Apr 9 2005
Event	Spring Central Sectional Meeting of American Mathematical Society (AMS) - Lubbock, TX Duration: Apr 9 2005 → …

Conference

Conference	Spring Central Sectional Meeting of American Mathematical Society (AMS)
Period	04/9/05 → …

Keywords

Balance
Generalized Tate cohomology

DC Disciplines

Mathematics

Cite this

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title = "Remarks on Balance in Generalized Tate Cohomology",

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 Extn/C,PM, 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 = "Balance, Generalized Tate cohomology",

author = "Alina Iacob",

year = "2005",

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day = "9",

language = "American English",

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TY - CONF

T1 - Remarks on Balance in Generalized Tate Cohomology

AU - Iacob, Alina

PY - 2005/4/9

Y1 - 2005/4/9

N2 - 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 Extn/C,PM, 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.

AB - 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 Extn/C,PM, 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.

KW - Balance

KW - Generalized Tate cohomology

UR - http://www.ams.org/meetings/sectional/2115_abstracts/1006-18-18.pdf

M3 - Presentation

T2 - Spring Central Sectional Meeting of American Mathematical Society (AMS)

Y2 - 9 April 2005

ER -

Remarks on Balance in Generalized Tate Cohomology

Abstract

Conference

Keywords

DC Disciplines

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