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PIECEWISE SEMIPRIME RINGS AND SOME APPLICATIONS

Year 2014, , 26 - 40, 01.06.2014
https://doi.org/10.24330/ieja.266235

Abstract

We define piecewise semiprime (PWSP) rings R in terms of a set
of triangulating idempotents in R. The class of PWSP rings properly contains
both the class of semiprime rings and the class of piecewise prime rings. The
PWSP property is Morita invariant and it is shared by some important ring
extensions. A ring is PWSP if and only if it has a generalized upper triangular
matrix representation with semiprime rings on the main diagonal. Another
characterization of PWSP rings involves a generalization of the concept of
m-systems and is similar to the description of a semiprime ring in terms of
the prime radical. Finally we use the PWSP property to determine (right)
weak quasi-Baer rings. These are rings in which the right annihilator of every
nilpotent ideal is generated as a right ideal by an idempotent.

Year 2014, , 26 - 40, 01.06.2014
https://doi.org/10.24330/ieja.266235

Abstract

There are 0 citations in total.

Details

Other ID JA55PM89FT
Journal Section Articles
Authors

Mehdi Gurabi This is me

Ahmad Haghany This is me

Mohammad Reza Vedadi This is me

Publication Date June 1, 2014
Published in Issue Year 2014

Cite

APA Gurabi, M., Haghany, A., & Vedadi, M. R. (2014). PIECEWISE SEMIPRIME RINGS AND SOME APPLICATIONS. International Electronic Journal of Algebra, 15(15), 26-40. https://doi.org/10.24330/ieja.266235
AMA Gurabi M, Haghany A, Vedadi MR. PIECEWISE SEMIPRIME RINGS AND SOME APPLICATIONS. IEJA. June 2014;15(15):26-40. doi:10.24330/ieja.266235
Chicago Gurabi, Mehdi, Ahmad Haghany, and Mohammad Reza Vedadi. “PIECEWISE SEMIPRIME RINGS AND SOME APPLICATIONS”. International Electronic Journal of Algebra 15, no. 15 (June 2014): 26-40. https://doi.org/10.24330/ieja.266235.
EndNote Gurabi M, Haghany A, Vedadi MR (June 1, 2014) PIECEWISE SEMIPRIME RINGS AND SOME APPLICATIONS. International Electronic Journal of Algebra 15 15 26–40.
IEEE M. Gurabi, A. Haghany, and M. R. Vedadi, “PIECEWISE SEMIPRIME RINGS AND SOME APPLICATIONS”, IEJA, vol. 15, no. 15, pp. 26–40, 2014, doi: 10.24330/ieja.266235.
ISNAD Gurabi, Mehdi et al. “PIECEWISE SEMIPRIME RINGS AND SOME APPLICATIONS”. International Electronic Journal of Algebra 15/15 (June 2014), 26-40. https://doi.org/10.24330/ieja.266235.
JAMA Gurabi M, Haghany A, Vedadi MR. PIECEWISE SEMIPRIME RINGS AND SOME APPLICATIONS. IEJA. 2014;15:26–40.
MLA Gurabi, Mehdi et al. “PIECEWISE SEMIPRIME RINGS AND SOME APPLICATIONS”. International Electronic Journal of Algebra, vol. 15, no. 15, 2014, pp. 26-40, doi:10.24330/ieja.266235.
Vancouver Gurabi M, Haghany A, Vedadi MR. PIECEWISE SEMIPRIME RINGS AND SOME APPLICATIONS. IEJA. 2014;15(15):26-40.