ON STRONGLY 2-PRIMAL RINGS

• Journal title : Honam Mathematical Journal
• Volume 29, Issue 4,  2007, pp.555-567
• Publisher : The Honam Mathematical Society
• DOI : 10.5831/HMJ.2007.29.4.555
Title & Authors
ON STRONGLY 2-PRIMAL RINGS
Hwang, Seo-Un; Lee, Yang; Park, Kwang-Sug;

Abstract
We first find strongly 2-primal rings whose sub direct product is not (strongly) 2-primal. Moreover we observe some kinds of ring extensions of (strongly) 2-primal rings. As an example we show that if R is a ring and M is a multiplicative monoid in R consisting of central regular elements, then R is strongly 2-primal if and only if so is $\small{RM^{-1}}$. Various properties of (strongly) 2-primal rings are also studied.
Keywords
(strongly) 2-primal ring;prime radical;sub direct product;ring extension;
Language
English
Cited by
1.
ARMENDARIZ PROPERTY OVER PRIME RADICALS,;;;

대한수학회지, 2013. vol.50. 5, pp.973-989
1.
ARMENDARIZ PROPERTY OVER PRIME RADICALS, Journal of the Korean Mathematical Society, 2013, 50, 5, 973
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