Volume 10, Issue 1 (4-2015)
IJMSI 2015, 10(1): 103-119 |
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Siva Mala M, Siva Prasad K. ($phi,rho$)-Representation of $Gamma$-So-Rings. IJMSI 2015; 10 (1) :103-119
URL: http://ijmsi.ir/article-1-465-en.html
URL: http://ijmsi.ir/article-1-465-en.html
Abstract:
A $Gamma$-so-ring is a structure possessing a natural partial ordering, an infinitary partial addition and a ternary multiplication, subject to a set of axioms. The partial functions under disjoint-domain sums and functional composition is a $Gamma$-so-ring. In this paper we introduce the notions of subdirect product and $(phi,rho)$-product of $Gamma$-so-rings and study $(phi,rho)$-representation of $Gamma$-so-rings.
Keywords: Subdirectly irreducible $Gamma$-so-ring, Subdirect product, $(phi, rho)$-product of $Gamma_i$-so-rings, $(phi, rho)$-representation of a $Gamma$-so-ring.
Type of Study: Research paper |
Subject:
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