Published January 1, 2020
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Rings such that, for each unit u, u - u(n) belongs to the Jacobson radical
- 1. Gazi Univ, Fac Sci, Dept Math, Ankara, Turkey
- 2. Univ Danang, Univ Sci & Educ, Dept Math, 459 Ton Duc Thang, Danang City, Vietnam
- 3. Gebze Tech Univ, Dept Math, Kocaeli, Turkey
- 4. Charles Univ Prague, Dept Algebra, Fac Math & Phys, Sokolovska 83, Prague 18675 8, Czech Republic
Description
A ring R is said to be n-UJ if u - u(n) is an element of 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.
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