Strongly Graded Rings with the Bounded Splitting Property
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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متن کاملstrongly clean triangular matrix rings with endomorphisms
a ring $r$ is strongly clean provided that every element in $r$ is the sum of an idempotent and a unit that commutate. let $t_n(r,sigma)$ be the skew triangular matrix ring over a local ring $r$ where $sigma$ is an endomorphism of $r$. we show that $t_2(r,sigma)$ is strongly clean if and only if for any $ain 1+j(r), bin j(r)$, $l_a-r_{sigma(b)}: rto r$ is surjective. furt...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 1997
ISSN: 0021-8693
DOI: 10.1006/jabr.1996.6959