A Construction of Totally Reflexive Modules

作者:Rahmati Hamid; Striuli Janet*; Wiegand Roger
来源:Algebras and Representation Theory, 2016, 19(1): 103-111.
DOI:10.1007/s10468-015-9564-5

摘要

We construct infinite families of pairwise non-isomorphic indecomposable totally reflexive modules of high multiplicity. Under suitable conditions on the totally reflexive modules M and N, we find infinitely many non-isomorphic indecomposable modules arising as extensions of M by N. The construction uses the bimodule structure of over the endomorphism rings of N and M. Our results compare with a recent theorem of Celikbas, Gheibi and Takahashi, and broaden the scope of that theorem.

  • 出版日期2016-2