creators_name: Dutta, T.K., creators_name: Das, M.L., creators_id: creators_id: dasmaniklal@yahoo.co.in type: article datestamp: 2007-12-17 05:07:01 lastmod: 2008-08-16 02:03:03 metadata_visibility: show corp_creators: University of Calcutta, Dept. of Pure Mathematics title: On Strongly Prime Semiring ispublished: pub subjects: Q full_text_status: none keywords: Right strongly prime semiring, Right strongly prime ideal, sp-system, Super sp-system, Strongly prime radical. 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. date: 2007 date_type: published publication: Bulletin of the Malaysian Mathematical Sciences Society volume: 30 number: 2 publisher: Penerbit Universiti Sains Malaysia pagerange: 135-141 refereed: TRUE issn: 0126-6705 official_url: http://math.usm.my/bulletin/pdf/v30n2/v30n2p6.pdf related_url_url: http://math.usm.my/bulletin/html/vol30_2_6.htm referencetext: [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. citation: 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