Totally reflexive modules with respect to a semidualizing bimodule View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2013-06

AUTHORS

Zhen Zhang, Xiaosheng Zhu, Xiaoguang Yan

ABSTRACT

Let S and {iaR} be two associative rings, let SCR be a semidualizing (S,R)-bimodule. We introduce and investigate properties of the totally reflexive module with respect to SCR and we give a characterization of the class of the totally CR-reflexive modules over any ring R. Moreover, we show that the totally CR-reflexive module with finite projective dimension is exactly the finitely generated projective right R-module. We then study the relations between the class of totally reflexive modules and the Bass class with respect to a semidualizing bimodule. The paper contains several results which are new in the commutative Noetherian setting. More... »

PAGES

385-402

References to SciGraph publications

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s10587-013-0024-2

DOI

http://dx.doi.org/10.1007/s10587-013-0024-2

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1043934776


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