On Weak Essential Ideals of Semiring

Kishor Fakira Pawar


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.


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

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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.


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