期刊名称：Journal of Emerging Trends in Computing and Information Sciences
电子版ISSN：2079-8407
出版年度：2014
卷号：5
期号：9
页码：689-697
出版社：ARPN Publishers
摘要：A partial semiring is a structure possessing an in finitary 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 prime and semi prime subbi-semimodules of (R, R) - partial bi-semi modules, obtain prime avoidance theorem for subbi-semimodules of (R, R) - partial bi-semi modules and extend the results on prime and semi prime sub semi modules over partial semi rings by P. V. Srinivasa Rao [8] to (R, R) - partial bi-semi modules.
