Year 2014, Volume 15, Issue 15, Pages 116 - 131 2014-06-01

STRONGLY P-CLEAN RINGS AND MATRICES

Huanyin Chen [1] , Handan Köse [2] , Yosum Kurtulmaz [3]

233 317

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
Other ID JA68UP69CS
Journal Section Articles
Authors

Author: Huanyin Chen

Author: Handan Köse

Author: Yosum Kurtulmaz

Dates

Publication Date: June 1, 2014

Bibtex @ { ieja266242, journal = {International Electronic Journal of Algebra}, issn = {1306-6048}, eissn = {1306-6048}, address = {Abdullah HARMANCI}, year = {2014}, pages = {116 - 131}, doi = {10.24330/ieja.266242}, title = {STRONGLY P-CLEAN RINGS AND MATRICES}, key = {cite}, author = {Chen, Huanyin and Köse, Handan and Kurtulmaz, Yosum} }
APA Chen, H , Köse, H , Kurtulmaz, Y . (2014). STRONGLY P-CLEAN RINGS AND MATRICES. International Electronic Journal of Algebra, 15 (15), 116-131. DOI: 10.24330/ieja.266242
MLA Chen, H , Köse, H , Kurtulmaz, Y . "STRONGLY P-CLEAN RINGS AND MATRICES". International Electronic Journal of Algebra 15 (2014): 116-131 <http://dergipark.org.tr/ieja/article/266242>
Chicago Chen, H , Köse, H , Kurtulmaz, Y . "STRONGLY P-CLEAN RINGS AND MATRICES". International Electronic Journal of Algebra 15 (2014): 116-131
RIS TY - JOUR T1 - STRONGLY P-CLEAN RINGS AND MATRICES AU - Huanyin Chen , Handan Köse , Yosum Kurtulmaz Y1 - 2014 PY - 2014 N1 - doi: 10.24330/ieja.266242 DO - 10.24330/ieja.266242 T2 - International Electronic Journal of Algebra JF - Journal JO - JOR SP - 116 EP - 131 VL - 15 IS - 15 SN - 1306-6048-1306-6048 M3 - doi: 10.24330/ieja.266242 UR - https://doi.org/10.24330/ieja.266242 Y2 - 2019 ER -
EndNote %0 International Electronic Journal of Algebra STRONGLY P-CLEAN RINGS AND MATRICES %A Huanyin Chen , Handan Köse , Yosum Kurtulmaz %T STRONGLY P-CLEAN RINGS AND MATRICES %D 2014 %J International Electronic Journal of Algebra %P 1306-6048-1306-6048 %V 15 %N 15 %R doi: 10.24330/ieja.266242 %U 10.24330/ieja.266242
ISNAD Chen, Huanyin , Köse, Handan , Kurtulmaz, Yosum . "STRONGLY P-CLEAN RINGS AND MATRICES". International Electronic Journal of Algebra 15 / 15 (June 2014): 116-131. https://doi.org/10.24330/ieja.266242
AMA Chen H , Köse H , Kurtulmaz Y . STRONGLY P-CLEAN RINGS AND MATRICES. IEJA. 2014; 15(15): 116-131.
Vancouver Chen H , Köse H , Kurtulmaz Y . STRONGLY P-CLEAN RINGS AND MATRICES. International Electronic Journal of Algebra. 2014; 15(15): 131-116.