On simple generalized m-flat rings
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Published:2023
Issue:2
Volume:26
Page:585-590
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ISSN:0972-0529
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Container-title:Journal of Discrete Mathematical Sciences & Cryptography
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language:
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Short-container-title:JDMSC
Author:
Ahmad Shaimaa H.,Mahmood Raida D.,Mohammed Farah H.,Ibraheem Zubaida M.
Abstract
A ring N is known as a right (left) SGmF – ring, if each simple right (left) N -modules are Gm – Flat. In this paper, we investigate characterizations of SGmF – ring. And from the results: 1. If N is a semi-prime, and right SGmF–ring, then the C(N) is regular ring. 2. If N is SGmF – ring, with every ideal of N is principal then: a. N is NJ iff N is feckly reduced, b. N is m – regular ring, if N is ZC ring.
Publisher
Taru Publications
Subject
Applied Mathematics,Algebra and Number Theory,Analysis