On Weak Essential Ideals of Semiring

Authors

  • Kishor Fakira Pawar Department of Mathematics, School of Mathematical Sciences, North Maharashtra University, Jalgaon 425 001

DOI:

https://doi.org/10.26713/cma.v6i1.292

Keywords:

Semirings, Ideals, Essential ideal, Semi-essential ideal, Weak-essential ideal, Semi-prime ideal

Abstract

In this paper we investigate a class of ideals that lies between essential ideals and semi-essential ideals, we call these class of ideals as weak essential ideals.

Downloads

Download data is not yet available.

References

M.A. Ahmed, Weak essential submodules, Um-Salama Science Journal, 6(1) (2009), 214-220.

T.K. Dutta and M.L.~Das, On strongly prime semiring, Bull. Malays Math. Sci. Soc., 30(2) (2007), 135-141.

J.S. Golan, The Theory of Semirings with Applications in Mathematics and Theoretical Computer Science, Pitman Monogr. Surveys Pure Appl. Math., Longman Scientific and Technical Harlow (1992).

K.F. Pawar and R.P. Deore, On essential ideal and radical class, Int. J. of Pure and Appl. Math. Sci., 5(1) (2012), 1-5.

K. Pawar, A note on essential subsemimodule, New Trends in Mathematical Sciences, 1(2) (2013), 18-21.

K. Pawar and P. Gujarathi, On semi-essential subsemimodules, Int. Res. J. of Pure Algebra, 5(5) (2015), 85-87.

Downloads

Published

08-08-2015
CITATION

How to Cite

Pawar, K. F. (2015). On Weak Essential Ideals of Semiring. Communications in Mathematics and Applications, 6(1), 17–20. https://doi.org/10.26713/cma.v6i1.292

Issue

Vol. 6 No. 1 (2015)

Section

Research Article

License

Creative Commons Licence 4.0 by  

Authors who publish with this journal agree to the following terms:

  • Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a CCAL that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
  • Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
  • Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work.