Characterizations of the commutators involving idempotents in certain subrings of $M_{2}(\mathbb{Z})$

Authors

TUFAN ÖZDİN
GÜNSELİ GÜMÜŞEL

DOI

10.55730/1300-0098.3443

Abstract

In 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 $M_{2}(\mathbb{Z})$.

Keywords

Clean (Nil-clean) element, commutator, idempotent, unit element, Nilpotent, unit-regular element

First Page

1498

Last Page

1507

Recommended Citation

ÖZDİN, TUFAN and GÜMÜŞEL, GÜNSELİ (2023) "Characterizations of the commutators involving idempotents in certain subrings of $M_{2}(\mathbb{Z})$," Turkish Journal of Mathematics: Vol. 47: No. 5, Article 14. https://doi.org/10.55730/1300-0098.3443
Available at: https://journals.tubitak.gov.tr/math/vol47/iss5/14