Criteria for the Validity of Goldie’s Theorems for Graded Rings
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DOI: 10.1007/s10469-018-9507-4
Abstract: We specify conditions on a group G that are necessary and sufficient for analogs of Goldie’s theorems to hold in a class of G-graded rings, i.e., for every G-graded gr-prime (gr-semiprime) right Goldie ring to… read more here.
Keywords: criteria validity; validity goldie; goldie theorems; graded rings ... See more keywords
Graded Weakly 2-Absorbing Ideals over Non-Commutative Graded Rings
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DOI: 10.3390/sym14071472
Abstract: Let G be a group and R be a G-graded ring. In this paper, we present and examine the concept of graded weakly 2-absorbing ideals as in generality of graded weakly prime ideals in a… read more here.
Keywords: absorbing ideals; weakly absorbing; graded weakly; commutative graded ... See more keywords