Exchange property and the natural preord
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Giuseppe Baccella
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Article
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2002
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Elsevier Science
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English
β 271 KB
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