- Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi
- Vol: 16 Issue: 1
- Unipotent and Unit-Regular Elements in Certain Subrings of M_2 (Z)
Unipotent and Unit-Regular Elements in Certain Subrings of M_2 (Z)
Authors : Günseli Gümü?el
Pages : 286-294
Doi:10.18185/erzifbed.1213747
View : 5 | Download : 2
Publication Date : 2023-03-31
Article Type : Research
Abstract :We presented a simple and direct way to construct a unipotent unit and clean but not nil-clean element in a ring. New examples of unipotent/unit-regular elements that are not nil-clean are given. We also study the product of two idempotents/unit-regulars which are unit-regular. The studies are exemplified in two subrings of M_2 (Z).Keywords : Idempotent Element, Nil-Clean Element, Nilpotent Element, Unit Element, Unit-Regular Element