2(1)-SEMIPRIME PARTIAL IDEALS OF PARTIAL SEMIRINGS

P. V. SRINIVASA RAO

doi:https://doi.org/10.14445/22315373/IJMTT-V19P520

International Journal of Mathematics Trends and Technology

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Volume 19 | Number 2 | Year 2015 | Article Id. IJMTT-V19P520 | DOI : https://doi.org/10.14445/22315373/IJMTT-V19P520

2(1)-SEMIPRIME PARTIAL IDEALS OF PARTIAL SEMIRINGS

P. V. SRINIVASA RAO

Abstract

A partial semiring is a structure possessing an infinitary partial addition and a bi- nary multiplication, subject to a set of axioms. The partial functions under disjoint-domain sums and functional composition is a partial semiring. In this paper we introduce the notions of 2(1)- semiprime partial ideal and p2(p1)-system in partial semirings and we obtain some characteristics of 2(1)-semiprime partial ideals.

Keywords

Subtractive partial ideal, Prime partial ideal, 2(1)-prime partial ideal, Semiprime partial ideal, 2(1)-semiprime partial ideal, p2(p1)-system of a partial semiring.

References

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Citation :

P. V. SRINIVASA RAO, "2(1)-SEMIPRIME PARTIAL IDEALS OF PARTIAL SEMIRINGS," International Journal of Mathematics Trends and Technology (IJMTT), vol. 19, no. 2, pp. 162-168, 2015. Crossref, https://doi.org/10.14445/22315373/IJMTT-V19P520