An element of a ring R is strongly P-clean provided that it can
be written as the sum of an idempotent and a strongly nilpotent element that
commute. A ring R is strongly P-clean in case each of its elements is strongly
P-clean. We investigate, in this article, the necessary and sufficient conditions
under which a ring R is strongly P-clean. Many characterizations of such
rings are obtained. The criteria on strong P-cleanness of 2 × 2 matrices over
commutative projective-free rings are also determined.
Strongly P-clean ring n×n matrix projective-free ring uniquely nil-clean ring Boolean ring
Diğer ID | JA68UP69CS |
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Bölüm | Makaleler |
Yazarlar | |
Yayımlanma Tarihi | 1 Haziran 2014 |
Yayımlandığı Sayı | Yıl 2014 |