Gümüşel, GünseliÖzdın, TufanGümüşel, GünseliDepartment of Social Sciences for University wide Courses2024-10-062024-10-06202301300-00981303-6149[TRDIZIN-DOI-BELIRLENECEK-19]https://hdl.handle.net/20.500.14411/10112In this paper, we characterize the idempotency, cleanness, and unit-regularity of the commutator $[E_1, E_2]$ = $E_1E_2 − E_2E_1$ involving idempotents $E_1, E_2$ in certain subrings of $M_2(Z)$.eninfo:eu-repo/semantics/openAccessArticleQ2Q247514981507