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

Year 2020, Volume: 49 Issue: 4 , 1397 - 1404 , 06.08.2020

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

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

Cited By: 4

https://izlik.org/JA92AB73YT

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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