TY  - JOUR
TT  - STRONGLY P-CLEAN RINGS AND MATRICES
AU  - Chen, Huanyin
AU  - Köse, Handan
AU  - Kurtulmaz, Yosum
PY  - 2014
DA  - June
DO  - 10.24330/ieja.266242
JF  - International Electronic Journal of Algebra
JO  - IEJA
PB  - Abdullah HARMANCI
WT  - DergiPark
SN  - 1306-6048
SP  - 116
EP  - 131
VL  - 15
IS  - 15
KW  - Strongly P-clean ring
KW  - n×n matrix
KW  - projective-free ring
KW  - uniquely nil-clean ring
KW  - Boolean ring
N2  - 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.
UR  - https://doi.org/10.24330/ieja.266242
L1  - https://dergipark.org.tr/en/download/article-file/232765
ER  -