Journal of the
Korean Mathematical Society
JKMS

ISSN(Print) 0304-9914 ISSN(Online) 2234-3008

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J. Korean Math. Soc. 2015; 52(4): 821-838

Printed July 1, 2015

https://doi.org/10.4134/JKMS.2015.52.4.821

Copyright © The Korean Mathematical Society.

Relative and Tate cohomology of Ding modules and complexes

Chunxia Zhang

Northwest Normal University

Abstract

We investigate the relative and Tate cohomology theories with respect to Ding modules and complexes, consider their relations with classical and Gorenstein cohomology theories. As an application, the Avramov-Martsinkovsky type exact sequence of Ding modules is obtained.

Keywords: Ding projective (injective) module, relative cohomology, Tate cohomology, Avramov-Martsinkovsky type exact sequence

MSC numbers: 16E40, 18G10, 18G25

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