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On Strongly Prime Semiring

Dutta, T.K., and Das, M.L., (2007) On Strongly Prime Semiring. Bulletin of the Malaysian Mathematical Sciences Society, 30 (2). pp. 135-141. ISSN 0126-6705

Full text not available from this repository.

Official URL: http://math.usm.my/bulletin/pdf/v30n2/v30n2p6.pdf

Affiliations

University of Calcutta, Dept. of Pure Mathematics

Abstract

In this paper we introduce the notions of strongly prime ideal in a semiring and strongly prime semiring and study some of its properties. Also we characterize strongly prime radical by using the notion of super sp-system.

Item Type:Journal
Keywords:Right strongly prime semiring, Right strongly prime ideal, sp-system, Super sp-system, Strongly prime radical.
Subjects:Q Science, Computer Science
ID Code:1456

[1] Dutta, T.K. and Das,M.L. On uniformly strongly prime semiring. Int. J. Math. Anal. 2(1—3)(2006), 73—82.

[2] B.J. Gardner and R. Wiegandt, Radical Theory of Rings, Marcel Dekker, Inc., 2004.

[3] J.S. Golan, Semirings and their Applications, Kluwer Academic Publishers, Dordrecht, 1999.

[4] D. Handelman and J. Lawrence, Strongly prime rings, Trans. Amer. Math. Soc. 211(1975), 209—223.

[5] D.R. LaTorre, On h-ideals and k-ideals in hemirings, Publ. Math. Debrecen 12(1965), 219-226.

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