EN
STRONGLY P-CLEAN RINGS AND MATRICES
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
Details
Primary Language
English
Subjects
-
Journal Section
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Publication Date
June 1, 2014
Submission Date
June 1, 2014
Acceptance Date
-
Published in Issue
Year 2014 Volume: 15 Number: 15
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
1.Chen H, Köse H, Kurtulmaz Y. STRONGLY P-CLEAN RINGS AND MATRICES. IEJA. 2014;15(15):116-131. doi:10.24330/ieja.266242
Chicago
Chen, Huanyin, Handan Köse, and Yosum Kurtulmaz. 2014. “STRONGLY P-CLEAN RINGS AND MATRICES”. International Electronic Journal of Algebra 15 (15): 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
[1]H. Chen, H. Köse, and Y. Kurtulmaz, “STRONGLY P-CLEAN RINGS AND MATRICES”, IEJA, vol. 15, no. 15, pp. 116–131, June 2014, doi: 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 1, 2014): 116-131. https://doi.org/10.24330/ieja.266242.
JAMA
1.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, June 2014, pp. 116-31, doi:10.24330/ieja.266242.
Vancouver
1.Huanyin Chen, Handan Köse, Yosum Kurtulmaz. STRONGLY P-CLEAN RINGS AND MATRICES. IEJA. 2014 Jun. 1;15(15):116-31. doi:10.24330/ieja.266242
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