A generalization of the Mitchell Lemma: The Ulmer Theorem and the Gabriel-Popescu Theorem revisited

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• 作者：Septimiu Crivei^a ; ^{crivei@math.ubbcluj.ro} ; Constantin N膬st膬sescu^b ; ^{constantin_nastasescu@yahoo.com} ; Laura N膬st膬sescu^c ; ^{lauranastasescu@gmail.com}
• 关键词：18E10 ; 18E35 ; 18A25 ; 16D90
• 刊名：Journal of Pure and Applied Algebra
• 出版年：2012
• 期刊代码：35_00224049
• 类别：mt
• 出版时间：October, 2012
• 卷：216
• 期：10
• 页码：2126-2129
• 文件大小：214 K

摘要

We prove a generalization of the Mitchell Lemma, and we show that it is a key lemma that can be used in order to deduce in a unified easier way several important results. Thus, the Ulmer Theorem, the generalized Gabriel-Popescu Theorem and the generalized Takeuchi Lemma are all consequences of the generalized Mitchell Lemma.