generalized f-clean rings
نویسندگان
چکیده
in this paper, we introduce the new notion of n-f-clean rings as a generalization of f-clean rings. next, we investigate some properties of such rings. we prove that mn(r) is n-f-clean for any n-f-clean ring r. we also, get a condition under which the de nitions of n-cleanness and n-f-cleanness are equivalent.
منابع مشابه
Generalized f-clean rings
In this paper, we introduce the new notion of n-f-clean rings as a generalization of f-clean rings. Next, we investigate some properties of such rings. We prove that $M_n(R)$ is n-f-clean for any n-f-clean ring R. We also, get a condition under which the denitions of n-cleanness and n-f-cleanness are equivalent.
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عنوان ژورنال:
journal of linear and topological algebra (jlta)جلد ۳، شماره ۰۱، صفحات ۵۵-۶۰
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