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BONGARTZ τ-COMPLEMENTS OVER SPLIT-BY-NILPOTENT EXTENSIONS

Published online by Cambridge University Press:  30 July 2018

STEPHEN ZITO
STEPHEN ZITO*
Affiliation:
Mathematics Faculty, University of Connecticut-Waterbury, Waterbury, CT 06702USA e-mail: [email protected]
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Abstract

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Let C be a finite dimensional algebra with B a split extension by a nilpotent bimodule E, and let M be a τC-rigid module with U its Bongartz τC-complement. If the induced module, M ⊗CB, is τB-rigid, we give a necessary and sufficient condition for U ⊗CB to be its Bongartz τB-complement. If M is τB-rigid, we again provide a necessary and sufficient condition for U ⊗CB to be its Bongartz τB-complement.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 61 , Issue 2 , May 2019 , pp. 461 - 470
Copyright
Copyright © Glasgow Mathematical Journal Trust 2018 

References

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