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A RELATIONSHIP BETWEEN 2-PRIMAL MODULES AND MODULES THAT SATISFY THE RADICAL FORMULA

Year 2015, Volume: 18 Issue: 18, 34 - 45, 01.12.2015

David Ssevviiri

https://doi.org/10.24330/ieja.266202
Cited By: 1

Abstract

The coincidence of the set of all nilpotent elements of a ring with
its prime radical has a module analogue which occurs when the zero submodule
satisfies the radical formula. A ring R is 2-primal if the set of all nilpotent
elements of R coincides with its prime radical. This fact motivates our study
in this paper, namely; to compare 2-primal submodules and submodules that
satisfy the radical formula. A demonstration of the importance of 2-primal
modules in bridging the gap between modules over commutative rings and
modules over noncommutative rings is done and new examples of rings and
modules that satisfy the radical formula are also given

Keywords

Radical formula prime submodule completely prime submodule 2-primal submodule

Year 2015, Volume: 18 Issue: 18, 34 - 45, 01.12.2015

David Ssevviiri

https://doi.org/10.24330/ieja.266202
Cited By: 1

Abstract

There are 0 citations in total.

Details

Other ID JA56YC23EG
Journal Section Articles
Authors

David Ssevviiri This is me

Publication Date December 1, 2015
Published in Issue Year 2015 Volume: 18 Issue: 18

Cite

APA Ssevviiri, D. (2015). A RELATIONSHIP BETWEEN 2-PRIMAL MODULES AND MODULES THAT SATISFY THE RADICAL FORMULA. International Electronic Journal of Algebra, 18(18), 34-45. https://doi.org/10.24330/ieja.266202
AMA Ssevviiri D. A RELATIONSHIP BETWEEN 2-PRIMAL MODULES AND MODULES THAT SATISFY THE RADICAL FORMULA. IEJA. December 2015;18(18):34-45. doi:10.24330/ieja.266202
Chicago Ssevviiri, David. “A RELATIONSHIP BETWEEN 2-PRIMAL MODULES AND MODULES THAT SATISFY THE RADICAL FORMULA”. International Electronic Journal of Algebra 18, no. 18 (December 2015): 34-45. https://doi.org/10.24330/ieja.266202.
EndNote Ssevviiri D (December 1, 2015) A RELATIONSHIP BETWEEN 2-PRIMAL MODULES AND MODULES THAT SATISFY THE RADICAL FORMULA. International Electronic Journal of Algebra 18 18 34–45.
IEEE D. Ssevviiri, “A RELATIONSHIP BETWEEN 2-PRIMAL MODULES AND MODULES THAT SATISFY THE RADICAL FORMULA”, IEJA, vol. 18, no. 18, pp. 34–45, 2015, doi: 10.24330/ieja.266202.
ISNAD Ssevviiri, David. “A RELATIONSHIP BETWEEN 2-PRIMAL MODULES AND MODULES THAT SATISFY THE RADICAL FORMULA”. International Electronic Journal of Algebra 18/18 (December 2015), 34-45. https://doi.org/10.24330/ieja.266202.
JAMA Ssevviiri D. A RELATIONSHIP BETWEEN 2-PRIMAL MODULES AND MODULES THAT SATISFY THE RADICAL FORMULA. IEJA. 2015;18:34–45.
MLA Ssevviiri, David. “A RELATIONSHIP BETWEEN 2-PRIMAL MODULES AND MODULES THAT SATISFY THE RADICAL FORMULA”. International Electronic Journal of Algebra, vol. 18, no. 18, 2015, pp. 34-45, doi:10.24330/ieja.266202.
Vancouver Ssevviiri D. A RELATIONSHIP BETWEEN 2-PRIMAL MODULES AND MODULES THAT SATISFY THE RADICAL FORMULA. IEJA. 2015;18(18):34-45.

Cited By

Uniformly Primal Submodule over Noncommutative Ring
Journal of Mathematics
Lamis J. M. Abulebda
https://doi.org/10.1155/2020/1593253