2(1)-SEMIPRIME PARTIAL IDEALS OF PARTIAL SEMIRINGS

  IJMTT-book-cover
 
International Journal of Mathematics Trends and Technology (IJMTT)
 
© 2015 by IJMTT Journal
Volume-19 Number-2
Year of Publication : 2015
Authors : P. V. SRINIVASA RAO
  10.14445/22315373/IJMTT-V19P520

MLA

P. V. SRINIVASA RAO"2(1)-SEMIPRIME PARTIAL IDEALS OF PARTIAL SEMIRINGS", International Journal of Mathematics Trends and Technology (IJMTT). V19(2):162-168 March 2015. ISSN:2231-5373. www.ijmttjournal.org. Published by Seventh Sense Research Group.

Abstract
A partial semiring is a structure possessing an in nitary 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.

References
[1] Acharyulu, G.V.S.: A Study of Sum-Ordered Partial Semirings, Doctoral thesis, Andhra University, 1992.
[2] Arbib, M.A., Manes, E.G.: Partially Additive Categories and Flow-diagram Semantics, Journal of Algebra, 62, pp. 203-227, 1980.
[3] Jonathan S. Golan.: Semirings and their Applications, Kluwer Academic Publishers, 1999.
[4] Manes, E.G., and Benson, D.B.: The Inverse Semigroup of a Sum-Ordered Partial Semiring, Semigroup Forum, 31, pp. 129-152, 1985.
[5] Nanda Kumar, P.: 1-(2-) Prime Ideals in Semirings, Kyungpook Mathematical Journal, 50, pp. 117-122, 2010.
[6] Streenstrup, M.E.: Sum-Ordered Partial Semirings, Doctoral thesis, Graduate school of the University of Mas- sachusetts, Feb 1985 (Department of computer and Information Science).
[7] Srininvasa Rao, P.V.: Ideals of Sum-Ordered Partial Semirings, International Journal of Computational Cogni- tion(IJCC), 7(2), pp. 59-64, June 2009.
[8] Srininvasa Rao, P.V.: 2(1)-Prime Partial Ideals of Partial Semirings, accepted in the International Journal of Modern Sciences and Engineering Technology (IJMSET).
[9] Srininvasa Rao, P.V.: Ideal Theory of Sum-Ordered Partial Semirings, Doctoral thesis, Acharya Nagarjuna University, 2011.

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.