JP Journal of Algebra, Number Theory and Applications
Volume 40, Issue 3, Pages 377 - 395
(June 2018) http://dx.doi.org/10.17654/NT040030377 |
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ON THE STRUCTURE OF AUGMENTED GRADED RINGS
Fida Moh’d, Mashhoor Refai and Mamoon Ahmed
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Abstract: An augmented graded ring is a graded ring such that Re is also graded and the other components are cyclic Re-modules with generators possessing certain properties. In this paper, we investigate a number of augmentations of an augmented graded ring, we provide minimum requirements of a graded ring to be an augmented graded ring. Also, we present an algorithm that builds augmented graded rings for special gradations of graded rings. |
Keywords and phrases: graded rings, augmented graded rings, equivalence of graded rings, augmentation. |
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