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Volume 20 No 8 (2022)
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k-prime and k-semi-prime ideals in Ternary Gamma Semi rings
A.Nagamalleswara Rao, P.L.N. Varma, G.Srinivasa Rao, D.Madhusudhana Rao, Ch.Ramprasad
Abstract
We study the properties of k-prime and k-semi-prime ideals of Ternary gamma semi rings, k-msystem and k-p-system. We make some properties and characterizations for k-prime and k-semiprime ideals of ternary gamma semi rings in terms of k-m-system and k-p-system, respectively. We
initiate the notion of prime ternary gamma semi-ring and semi-prime ternary gamma semi-ring to
set up characterizations for these two ideals of a ternary gamma semi-ring. The concept of power
ternary gamma semi-ring associated to a ternary gamma semi-group is also studied in this paper
Keywords
Ternary gamma semi-ring, k-prime ideal, k-semi-prime ideal, prime ternary gamma semi-ring, semiprime ternary gamma semi-ring, power ternary gamma semi-ring.
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