Characterizations of the commutators involving idempotents in certain subrings of $M

Gümüşel, GünseliOzdin, TufanGumusel, GunseliDepartment of Social Sciences for University wide Courses2024-07-052024-07-05202301300-00981303-614910.55730/1300-0098.34432-s2.0-85167904341https://doi.org/10.55730/1300-0098.3443https://hdl.handle.net/20.500.14411/2551OZDIN, Tufan/0000-0001-8081-1871In this paper, we characterize the idempotency, cleanness, and unit-regularity of the commutator [E1, E2] = E1E2 - E2E1 involving idempotents E1, E2 in certain subrings of M2(Z).eninfo:eu-repo/semantics/openAccessClean (Nil-clean) elementcommutatoridempotentunit elementNilpotentunit-regular elementCharacterizations of the commutators involving idempotents in certain subrings of $M_{2}(\mathbb{Z})$ArticleQ2Q247514981507WOS:001040064500013