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INSERTION-OF-FACTORS-PROPERTY WITH FACTORS NILPOTENTS

  • Han, Juncheol (Department of Mathematics Education Pusan National University) ;
  • Jung, Yui-Yun (Department of Mathematics Education Pusan National University) ;
  • Lee, Yang (Department of Mathematics Education Pusan National University) ;
  • Sung, Hyo Jin (Department of Mathematics Pusan National University)
  • Received : 2014.09.11
  • Accepted : 2014.10.20
  • Published : 2014.12.30

Abstract

We in this note study a ring theoretic property which unifies Armendariz and IFP. We call this new concept INFP. We first show that idempotents and nilpotents are connected by the Abelian ring property. Next the structure of INFP rings is studied in relation to several sorts of algebraic systems.

Keywords

References

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Cited by

  1. Rings which satisfy the Property of Inserting Regular Elements at Zero Products vol.60, pp.2, 2020, https://doi.org/10.5666/kmj.2020.60.2.307