Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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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)
  • Received : 2019.10.22
  • Accepted : 2020.02.10
  • Published : 2020.06.30
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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.

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References

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