Ternary Γ -SO-semirings-3
Bhagyalakshmi Kothuru1, V.Amarendra Babu2
1Bhagyalakshmi Kothuru, Research Scholar Department of Mathematics, Acharya Nagarjuna University and Department of Mathematics, KKR&KSR Institute of Technology &Sciences Vinjanampadu, Guntur.
2V.Amarendra Babu, Department of Mathematics, AcharyaNagarjuna University. Manuscript received on September 16, 2019. | Revised Manuscript received on 24 September, 2019. | Manuscript published on October 10, 2019. | PP: 210-214 | Volume-8 Issue-12, October 2019. | Retrieval Number: L35771081219/2019©BEIESP | DOI: 10.35940/ijitee.L3577.1081219
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Abstract: “In this paper we are introducing the notions of subtractive and strong subsets in partial ternary Γ – semirings. We show that in a ternary Γ – SO semiring satisfying that every non-zero ideal is strong and subtractive Further we will show that join of any two ideals is equal to the sum of those two ideals in a ternary Γ – SO semiring satisfying the decomposition property. In a ternary Γ – SO semiring satisfying the decomposition property then ideal(R) is a distributive lattice”.
Keywords: Subtractive, Strong, Austere, Join, Entire.
Scope of the Article: Applied Mathematics and Mechanics