On strongly groupoid graded rings and the corresponding Clifford theorem. (English) Zbl 1107.16041
Authors’ summary: In this paper, we introduce the definition of groupoid graded rings. Group graded rings, (skew) groupoid rings, Artinian semisimple rings, matrix rings and others can be regarded as special kinds of groupoid graded rings. Our main task is to classify strongly groupoid graded rings by cohomology of groupoids. Some classical results about group graded rings are generalized to groupoid graded rings. In particular, the Clifford theorem for a strongly groupoid graded ring is given.
Reviewer: Serban Raianu (Carson)
MSC:
| 16W50 | Graded rings and modules (associative rings and algebras) |
References:
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