A Construction of Totally Reflexive Modules
Document Type
Article
Publication Date
2016
Abstract
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 Ext1R((M,N) 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.
Publication Title
Algebras and Representation Theory
Repository Citation
Hamid, Rahmati; Striuli, Janet; and Wiegand, Roger, "A Construction of Totally Reflexive Modules" (2016). Mathematics Faculty Publications. 54.
https://digitalcommons.fairfield.edu/mathandcomputerscience-facultypubs/54
Published Citation
Rahmati, Hamid, Janet Striuli, and Roger Wiegand. "A Construction of Totally Reflexive Modules." Algebras and Representation Theory (2016): 1-9. doi:10.1007/s10468-015-9564-5.
DOI
10.1007/s10468-015-9564-5
Peer Reviewed
Comments
Copyright Springer Science+Business Media Dordrecht 2016
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