Units, nilpotent elements, and unit-IFP rings

Sangwon Park; Sang Jo Yun

doi:10.4134/BKMS.b170799

Bulletin of the
Korean Mathematical Society BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

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Bull. Korean Math. Soc. 2018; 55(5): 1389-1396

Online first article February 27, 2018 Printed September 30, 2018

https://doi.org/10.4134/BKMS.b170799

Units, nilpotent elements, and unit-IFP rings

Sangwon Park, Sang Jo Yun

Dong-A University, Dong-A University

Abstract

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Abstract

We observe the structure of a kind of unit-IFP ring that is constructed by Antoine, in relation with units and nilpotent elements. This article concerns the same argument in a more general situation, and study the structure of one-sided zero divisors in such rings. We also provide another kind of unit-IFP ring.

Keywords: unit-IFP ring, unit, nilpotent element, Antoine's construction

MSC numbers: 16U60, 16U80, 16N40