Volume-1 Issue-4

S. No

Volume-1 Issue-4, February 2015, ISSN: 2394-367X (Online)
Published By: Blue Eyes Intelligence Engineering & Sciences Publication Pvt. Ltd. 

Page No.

1.

Authors:

D. Madhusudhana Rao, G. Srinivasa Rao

Paper Title:

Abstract: In this paper we introduced prime radicals and completely prime radicals in ternary smearing. It is proved that : If A, B and C are any three ideals of a ternary semiring T, then i) A  B  A  B , ii) if A ∩ B∩ C ≠ ∅ then ABC  ABC  A  B  C iii) A = A . Further it is proved that an ideal Q of ternary semiring T is a semiprime ideal of T if and only if Q =Q. It is proved that if P is a prime ideal of a ternary semiring T, then ( )n P = P for all odd natural numbers nN and if A is an ideal of a ternary semiring T then A ={x ∈ T: every msystem of T containing x meets A} i.e., A = { xT :M(x) A }. Mathematical Subject Classification: 16Y30, 16Y99.

Keywords: left simple, lateral simple, right simple, simple, duo ternary semiring,semisimple ternary semiring, globally idempotent.

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