Gümüşel, GünseliÖzdın, Tufan2024-12-052024-12-0520231300-00981303-6149https://hdl.handle.net/20.500.14411/10318In 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/openAccessMatematikCharacterizations of the Commutators Involving Idempotents in Certain Subrings of $m_{2}(\\mathbb{z})$ArticleQ2Q2475149815070