Epsilon-strongly graded rings, separability and semisimplicity
نویسندگان
چکیده
منابع مشابه
Semisimple Strongly Graded Rings
Let G be a finite group and R a strongly G-graded ring. The question of when R is semisimple (meaning in this paper semisimple artinian) has been studied by several authors. The most classical result is Maschke’s Theorem for group rings. For crossed products over fields there is a satisfactory answer given by Aljadeff and Robinson [3]. Another partial answer for skew group rings was given by Al...
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In this paper, we study separability of graded field extensions. In particular, without restriction to torsion free of the grade group, we show that some separability results of graded field extensions given in [7] hold. On the other hand, the separability notions defined in [1] do not cover many situations, for example group algebras. We show that these notions are simple cases of separability...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2018
ISSN: 0021-8693
DOI: 10.1016/j.jalgebra.2018.08.002