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- W2165200362 abstract "We show that if a groupoid graded ring has a certain nonzero ideal property and the principal component of the ring is commutative, then the intersection of a nonzero twosided ideal of the ring with the commutant of the principal component of the ring is nonzero. Furthermore, we show that for a skew groupoid ring with commutative principal component, the principal component is maximal commutative if and only if it is intersected nontrivially by each nonzero ideal of the skew groupoid ring. We also determine the center of strongly groupoid graded rings in terms of an action on the ring induced by the grading. In the end of the article, we show that, given a finite groupoid $G$, which has a nonidentity morphism, there is a ring, strongly graded by $G$, which is not a crossed product over $G$." @default.
- W2165200362 created "2016-06-24" @default.
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- W2165200362 date "2009-07-06" @default.
- W2165200362 modified "2023-09-23" @default.
- W2165200362 title "Noncrossed Product Matrix Subrings and Ideals of Graded Rings" @default.
- W2165200362 hasPublicationYear "2009" @default.
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