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The dual transpose over an artin algebra Λ and over a factor Λ/A of Λ

✍ Scribed by Sandra Michelena

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
176 KB
Volume
180
Category
Article
ISSN
0022-4049

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✦ Synopsis

Let

be an artin algebra, A a two-sided ideal of , and let M be an indecomposable nonprojective =A-module. We consider ÿrst two particular embeddings fAR; fAZ from =A M into M deÿned, respectively, by Auslander-Reiten and Assem-Zacharia in case is a split by nilpotent extension of =A by A. We prove that fAR and fAZ coincide in the sense that there exists a -isomorphism : =A M → =A M such that fAZ = fAR . Secondly, we give some relationships between the dual transpose over and over a factor =A of and applications.

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