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

作者：Crivei Septimiu^*; Nastasescu Constantin; Nastasescu Laura

来源：Journal of Pure and Applied Algebra, 2012, 216(10): 2126-2129.

DOI：10.1016/j.jpaa.2012.01.014

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.

• 出版日期2012-10