Mathematics and Statistics Vol. 2(3), pp. 110 - 119
DOI: 10.13189/ms.2014.020302
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Partial Bi-Semimodules over Partial Semirings

V. Amarendra Babu ¹, M. Srinivasa Reddy ^2,*, P.V.Srinivasa Rao ^2
1 Department of Mathematics, Acharya Nagarjunana University, Guntur, 522510, Andhra Pradesh, India
² D. V. R & Dr. H. S. MIC College of Technology, Kanchikacherla, 521180, Krishna(dt), Andhra Pradesh, India

ABSTRACT

A partial semiring is a structure possessing an infinitary partial addition and a binary 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 ( R, S ) - partial bi-semimodule and ( R, S ) - homomorphism of ( R, S ) - partial bi-semimodules and extended the results on partial semimodules over partial semirings by P. V. Srinivasa Rao [8] to ( R, S ) - partial bi-semimodules.

KEYWORDS
( R, S ) - Partial Bi-Semimodule, (N : M ), ( R, S ) - Homomorphism, Bourne Relation, Steady ( R, S )- Homomorphism And Absorbing Subbi-Semimodule

Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] V. Amarendra Babu , M. Srinivasa Reddy , P.V.Srinivasa Rao , "Partial Bi-Semimodules over Partial Semirings," Mathematics and Statistics, Vol. 2, No. 3, pp. 110 - 119, 2014. DOI: 10.13189/ms.2014.020302.

(b). APA Format:
V. Amarendra Babu , M. Srinivasa Reddy , P.V.Srinivasa Rao (2014). Partial Bi-Semimodules over Partial Semirings. Mathematics and Statistics, 2(3), 110 - 119. DOI: 10.13189/ms.2014.020302.