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Submitted
Aug 7, 2020
Published
Dec 30, 2017
ON IDEMPOTENT - SEMIPRIME RINGS
Corresponding Author(s) : Truong Cong Quynh
tcquynh@dce.udn.vn
UED Journal of Social Sciences, Humanities and Education,
Vol. 7 No. 5 (2017): UED JOURNAL OF SOCIAL SCIENCES, HUMANITIES AND EDUCATION
Abstract
A ring is called idempotent-semiprime (briefly, idem-semiprime) if for any for all idempotent , implies , The class of idem-semiprime rings is a proper subclass of semiprime rings. This new class includes domains, reduced rings, and Von Neumann regular rings. In this article, we investigate the usual ring theoretic constructions of idempotent-semiprime rings.
Keywords
idem-semiprime ring; semiprime ring; Von Neumann regular ring.
Truong Cong Quynh, & Truong Tri Dung. (2017). ON IDEMPOTENT - SEMIPRIME RINGS. UED Journal of Social Sciences, Humanities and Education, 7(5), 1-4. https://doi.org/10.47393/jshe.v7i5.819
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References
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