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Weak Singularity in Graded Rings |
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PP: 51-53 |
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Author(s) |
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Gayatri Das,
Helen K. Saikia,
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Abstract |
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| In this paper we introduce the notion of graded weak singular ideals of a graded ring R. It is shown that every graded weak
singular ideal of R is graded singular. A graded weakly nil ring is graded weak singular. If R is a graded weak non-singular ring then
R is graded semiprime. Every graded strongly prime ring R is graded weak non-singular and the same holds for every reduced graded
ring. |
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