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

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Hacettepe Journal of Mathematics and Statistics
Volume:49 Issue:4
Rings such that, for each unit u, u − u n belongs to the Jacobson radical

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

Authors : M Tamer KOŞAN, Truong Cong QUYNH, Tülay YILDIRIM, Jan ŽEMLİČKA

Pages : 1397-1404

Doi:10.15672/hujms.542574

View : 21 | Download : 11

Publication Date : 2020-08-06

Article Type : Research Paper

Abstract :A ring R is said to be n-UJ if u − u n ∈ Jinsert ignore into journalissuearticles values(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 insert ignore into journalissuearticles values(2010);. 16N20, 16D60, 16U60, 16W10
Keywords : UU ring, UJ ring, unit, Jacobson radical, clean ring semi, regular ring, reduced ring

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