Absolute, Gorenstein, and Tate Torsion Modules

Alina Iacob

Absolute, Gorenstein, and Tate Torsion Modules

Alina Iacob

Mathematical Sciences

Research output: Contribution to conference › Presentation

Abstract

<p> We show that there is an Avramov-Martsinkovsky type exact sequence connecting the absolute torsion functors, the Gorenstein torsion functors and the Tate torsion functors. We prove that if R is a Gorenstein ring then the Tate torsion R modules Torn(M, N), n ≥ 1 can be computed using either a complete resolution of MR or using a complete resolution of RN. We also show that over a Gorenstein ring a left R-module N is Gorenstein &fllig;at if and only if GtorR1(−,N)=0.</p>

Original language	American English
State	Published - Mar 3 2007
Event	Spring Southeastern Sectional Meeting of the American Mathematical Society (AMS) - Statesboro, GA Duration: Mar 12 2011 → …

Conference

Conference	Spring Southeastern Sectional Meeting of the American Mathematical Society (AMS)
Period	03/12/11 → …

Disciplines

Mathematics
Physical Sciences and Mathematics

Keywords

Absolute
Gorenstein
Tate torsion modules

Access to Document

https://www.ams.org/meetings/sectional/1024-18-26.pdf

Cite this

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title = "Absolute, Gorenstein, and Tate Torsion Modules",

abstract = " We show that there is an Avramov-Martsinkovsky type exact sequence connecting the absolute torsion functors, the Gorenstein torsion functors and the Tate torsion functors. We prove that if R is a Gorenstein ring then the Tate torsion R modules Torn(M, N), n \≥ 1 can be computed using either a complete resolution of MR or using a complete resolution of RN. We also show that over a Gorenstein ring a left R-module N is Gorenstein \&fllig;at if and only if GtorR1(\−,N)=0.",

keywords = "Absolute, Gorenstein, Tate torsion modules",

author = "Alina Iacob",

year = "2007",

month = mar,

day = "3",

language = "American English",

note = "Spring Southeastern Sectional Meeting of the American Mathematical Society (AMS) ; Conference date: 12-03-2011",

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T1 - Absolute, Gorenstein, and Tate Torsion Modules

AU - Iacob, Alina

PY - 2007/3/3

Y1 - 2007/3/3

N2 - We show that there is an Avramov-Martsinkovsky type exact sequence connecting the absolute torsion functors, the Gorenstein torsion functors and the Tate torsion functors. We prove that if R is a Gorenstein ring then the Tate torsion R modules Torn(M, N), n ≥ 1 can be computed using either a complete resolution of MR or using a complete resolution of RN. We also show that over a Gorenstein ring a left R-module N is Gorenstein &fllig;at if and only if GtorR1(−,N)=0.

AB - We show that there is an Avramov-Martsinkovsky type exact sequence connecting the absolute torsion functors, the Gorenstein torsion functors and the Tate torsion functors. We prove that if R is a Gorenstein ring then the Tate torsion R modules Torn(M, N), n ≥ 1 can be computed using either a complete resolution of MR or using a complete resolution of RN. We also show that over a Gorenstein ring a left R-module N is Gorenstein &fllig;at if and only if GtorR1(−,N)=0.

KW - Absolute

KW - Gorenstein

KW - Tate torsion modules

UR - https://digitalcommons.georgiasouthern.edu/math-sci-facpres/225

M3 - Presentation

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

Y2 - 12 March 2011

ER -

Absolute, Gorenstein, and Tate Torsion Modules

Abstract

Conference

Disciplines

Keywords

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