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oai:ebyu-rdlopen.rawdatalibrary.net:ebyu/130322026-10-18T20:36:34Zopenairedrivercom_ebyu_10000col_ebyu_10001

Almost quasi clean ringsÖzdın, Tufanalmost quasi-clean ringQuasi-idempotentThe element q of a ring R is called quasi-idempotent element if q2 = uq for some central unit u of R, or equivalently q = ue, where u is a central unit and e is an idempotent of R. In this paper, we define that the ring R is almost quasi-clean if each element of R is the sum of a regular element and a quasi-idempotent element. Several properties of almost-quasi clean rings are investigated. We prove that every quasi-continuous and nonsingular ring is almost quasi-clean. Finally, it is determined that the conditions under which the idealization of an R-module M is almost quasi clean. © 2021. TÜBİTAK.TUBITAK2021Articlehttps://rdlopen.rawdatalibrary.net/r/ebyu/13032https://doi.org/10.3906/mat-2012-771300-0098enTurkish Journal of Mathematicsinfo:eu-repo/semantics/openAccessinfo:eu-repo/semantics/articlehttps://ebyu-rdlopen.rawdatalibrary.net/tr/items/ebyu/13032