($phi,rho$)-Representation of $Gamma$-So-Rings

Author(s):

M. Siva Mala , K. Siva Prasad

Message:
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

Language:
English
Published:
Iranian Journal of Mathematical Sciences and Informatics, Volume:10 Issue: 1, May 2015
Pages:
103 to 119
https://www.magiran.com/p1401960