STRONGLY GRADED RINGS WHICH ARE KRULL RINGS
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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We prove that the Krull dimension of the ring of holomorphic functions of a connected complex manifold is at least the cardinality of continuum if and only if it is > 0. Let R be a commutative ring. Recall that the Krull dimension dim(R) of R is the supremum of cardinalities lengths of chains of distinct proper prime ideals in R. Our main result is: Theorem 1. Let M be a connected complex manif...
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ژورنال
عنوان ژورنال: International Electronic Journal of Algebra
سال: 2019
ISSN: 1306-6048
DOI: 10.24330/ieja.504135