Rings such that, for each unit u, u - u(n) belongs to the Jacobson radical

Kosan, MUHAMMET; Troung Cong Quynh, Troung; Yildirim, Tulay; Zemlicka, Jan

doi:10.15672/hujms.542574

Rings such that, for each unit u, u - u(n) belongs to the Jacobson radical

Kosan M. T., Troung Cong Quynh T. C. Q., Yildirim T., Zemlicka J.

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, cilt.49, sa.4, ss.1397-1404, 2020 (SCI-Expanded, Scopus, TRDizin)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 49 Sayı: 4
Basım Tarihi: 2020
Doi Numarası: 10.15672/hujms.542574
Dergi Adı: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH, TR DİZİN (ULAKBİM)
Sayfa Sayıları: ss.1397-1404
Gazi Üniversitesi Adresli: Evet

Özet

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.