STRONGLY P-CLEAN RINGS AND MATRICES

Huanyin Chen; Handan Köse; Yosum Kurtulmaz

doi:10.24330/ieja.266242

STRONGLY P-CLEAN RINGS AND MATRICES

Year 2014, Volume: 15 Issue: 15, 116 - 131, 01.06.2014

Huanyin Chen Handan Köse Yosum Kurtulmaz

https://doi.org/10.24330/ieja.266242

Cited By: 6

Abstract

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.

Keywords

Strongly P-clean ring, n×n matrix, projective-free ring, uniquely nil-clean ring, Boolean ring

Year 2014, Volume: 15 Issue: 15, 116 - 131, 01.06.2014

Huanyin Chen Handan Köse Yosum Kurtulmaz

https://doi.org/10.24330/ieja.266242

Cited By: 6

Abstract

There are 0 citations in total.

Details

Other ID	JA68UP69CS
Journal Section	Articles
Authors	Huanyin Chen This is me Handan Köse This is me Yosum Kurtulmaz This is me
Publication Date	June 1, 2014
Published in Issue	Year 2014 Volume: 15 Issue: 15

Cite

APA	Chen, H., Köse, H., & Kurtulmaz, Y. (2014). STRONGLY P-CLEAN RINGS AND MATRICES. International Electronic Journal of Algebra, 15(15), 116-131. https://doi.org/10.24330/ieja.266242
AMA	Chen H, Köse H, Kurtulmaz Y. STRONGLY P-CLEAN RINGS AND MATRICES. IEJA. June 2014;15(15):116-131. doi:10.24330/ieja.266242
Chicago	Chen, Huanyin, Handan Köse, and Yosum Kurtulmaz. “STRONGLY P-CLEAN RINGS AND MATRICES”. International Electronic Journal of Algebra 15, no. 15 (June 2014): 116-31. https://doi.org/10.24330/ieja.266242.
EndNote	Chen H, Köse H, Kurtulmaz Y (June 1, 2014) STRONGLY P-CLEAN RINGS AND MATRICES. International Electronic Journal of Algebra 15 15 116–131.
IEEE	H. Chen, H. Köse, and Y. Kurtulmaz, “STRONGLY P-CLEAN RINGS AND MATRICES”, IEJA, vol. 15, no. 15, pp. 116–131, 2014, doi: 10.24330/ieja.266242.
ISNAD	Chen, Huanyin et al. “STRONGLY P-CLEAN RINGS AND MATRICES”. International Electronic Journal of Algebra 15/15 (June 2014), 116-131. https://doi.org/10.24330/ieja.266242.
JAMA	Chen H, Köse H, Kurtulmaz Y. STRONGLY P-CLEAN RINGS AND MATRICES. IEJA. 2014;15:116–131.
MLA	Chen, Huanyin et al. “STRONGLY P-CLEAN RINGS AND MATRICES”. International Electronic Journal of Algebra, vol. 15, no. 15, 2014, pp. 116-31, doi:10.24330/ieja.266242.
Vancouver	Chen H, Köse H, Kurtulmaz Y. STRONGLY P-CLEAN RINGS AND MATRICES. IEJA. 2014;15(15):116-31.