Rings such that, for each unit u, u − u n belongs to the Jacobson radical

Year 2020, , 1397 - 1404, 06.08.2020

M. Tamer Koşan , Truong Cong Quynh , Tülay Yıldırım , Jan žemlička

https://doi.org/10.15672/hujms.542574

Cited By: 3

Abstract

A ring R is said to be n-UJ if u − u n ∈ J(R) for each unit u of R, where n > 1 is a fixed integer. In this paper, the structure of n-UJ rings is studied under various conditions. Moreover, the n-UJ property is studied under some algebraic constructions. Mathematics Subject Classification (2010). 16N20, 16D60, 16U60, 16W10

Keywords

UU-ring, UJ-ring, unit, Jacobson radical, clean ring, (semi)regular ring, reduced ring

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