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Automorphism-invariant modules satisfy the exchange property

โœ Scribed by Guil Asensio, Pedro A.; Srivastava, Ashish K.


Book ID
120393173
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
185 KB
Volume
388
Category
Article
ISSN
0021-8693

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We prove that if R is a right semi-Artinian ring, then R is an exchange ring and every irredundant set Simp R of representatives of simple right R-modules carries a canonical structure of an Artinian poset, which is a Morita invariant. We investigate several basic features of this order structure an