Totally reflexive modules with respect to a semidualizing bimodule
Zhen Zhang, Xiaosheng Zhu, Xiaoguang Yan (2013)
Czechoslovak Mathematical Journal
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Let and be two associative rings, let be a semidualizing -bimodule. We introduce and investigate properties of the totally reflexive module with respect to and we give a characterization of the class of the totally -reflexive modules over any ring . Moreover, we show that the totally -reflexive module with finite projective dimension is exactly the finitely generated projective right -module. We then study the relations between the class of totally reflexive modules and...