Title

A Construction of Totally Reflexive Modules

Authors

Rahmati Hamid
Janet Striuli, Fairfield UniversityFollow
Roger Wiegand

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.

Comments

Copyright Springer Science+Business Media Dordrecht 2016

A link to full text has been provided for authorized users.

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