Unipotent and Unit-Regular Elements in Certain Subrings of M_2 (Z)

Authors : Günseli GÜMÜŞEL

Pages : 286-294

Doi:10.18185/erzifbed.1213747

View : 9 | Download : 6

Publication Date : 2023-03-31

Article Type : Research Paper

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 insert ignore into journalissuearticles values(Z);.
Keywords : Idempotent Element, Nil Clean Element, Nilpotent Element, Unit Element, Unit Regular Element