TY  - JOUR
TI  - On $ mj $-clean ring and strongly $ mj $-clean ring
AB  - In this paper, we introduce the concepts of mj -clean and strongly mj -clean rings which are generalizations of $ j $-clean ring and strongly j-clean ring, respectively. Let R be a ring with a nonzero identity and m ≥ 2 a positive integer. We call the ring R as mj -clean if each element of R can be written as a sum of an m -potent and an element of J(R) and also if these elements are commute, then we call R as strongly mj -clean ring. We examine the algebraic properties of these new concepts and show the effects of these structures on matrix rings, polynomial rings, power series and the transitions between them.
AU  - ULUCAK, Gülşen
AU  - Kör, Arda
DO  - 10.55730/1300-0098.3249
PY  - 2022
JO  - Turkish Journal of Mathematics
VL  - 46
IS  - SI-2
SN  - 1300-0098
SP  - 2015
EP  - 2022
DB  - TRDizin
UR  - http://search/yayin/detay/1143032
ER  -