Units, nilpotent elements, and unit-IFP rings
Bull. Korean Math. Soc. 2018 Vol. 55, No. 5, 1389-1396
https://doi.org/10.4134/BKMS.b170799
Published online September 30, 2018
Sangwon Park, Sang Jo Yun
Dong-A University, Dong-A University
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
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