Classical quotient rings of group graded rings. (English) Zbl 0769.16020
If \(A\) is a \(G\)-graded ring, \(G\) a finite group with identity 1, let \(P(A)\) denote one of the properties: 1) \(A\) has an Artinian ring of quotients, 2) \(A\) has a semiprimary ring of quotients. The paper deals with the study of the relations between \(P(A)\) and \(P(A_ 1)\).
Reviewer: C.Năstăsescu (Bucureşti)
MSC:
| 16W50 | Graded rings and modules (associative rings and algebras) |
| 16S90 | Torsion theories; radicals on module categories (associative algebraic aspects) |
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