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http://dx.doi.org/10.5666/KMJ.2020.60.2.307

Rings which satisfy the Property of Inserting Regular Elements at Zero Products  

Kim, Hong Kee (Department of Mathematics and RINS, Gyeongsang National University)
Kwak, Tai Keun (Department of Mathematics, Daejin University)
Lee, Yang (Department of Mathematics, Yanbian University)
Seo, Yeonsook (Department of Mathematics, Pusan National University)
Publication Information
Kyungpook Mathematical Journal / v.60, no.2, 2020 , pp. 307-318 More about this Journal
Abstract
This article concerns the class of rings which satisfy the property of inserting regular elements at zero products, and rings with such property are called regular-IFP. We study the structure of regular-IFP rings in relation to various ring properties that play roles in noncommutative ring theory. We investigate conditions under which the regular-IFPness pass to polynomial rings, and equivalent conditions to the regular-IFPness.
Keywords
regular-IFP ring; regular element; IFP ring; polynomial ring; generalized reduced ring;
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