Partial Addition and Ternary Product Based -So-Semirings-2
Bhagyalakshmi Kothuru1, V. Amarendra Babu2
1Bhagyalakshmi Kothuru, Research Scholar, Department of Mathematics, Acharya Nagarjuna University, KKR & KSR Institute of Technology & Sciences Vinjanampadu, Guntur (A.P), India.
2V. Amarendra Babu, Department of Mathematics, Acharya Nagarjuna University, Vinjanampadu, Guntur (A.P), India.
Manuscript received on 25 November 2019 | Revised Manuscript received on 19 December 2019 | Manuscript Published on 30 December 2019 | PP: 306-310 | Volume-9 Issue-1S5 December 2019 | Retrieval Number: A11101291S52019/19©BEIESP | DOI: 10.35940/ijeat.A1110.1291S519
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Abstract: Here we are introducing thenotions i-system, idempotent, centre of a ternary  -SO semiring, Nilpotent are introduced and it is proved that some equivalent conditions. Further it is also proved that (i) if C be a ternary – SO semiring, m is a “strongly regular element”, then ∃𝝑, 𝝁∈Г also n∈C ∋m = m𝝑n𝝁m,n = n𝝁m𝝑n (ii) If “I be an Ideal of A strongly regular ternary – SOsemiring R then I is strongly regular and any ideal J of I is an ideal of R” and many more properties were proved. Mathematical subject classification: 16Y60.
Keywords: Idempotent, I-System, Strongly Regular, M-System, N System.
Scope of the Article: Software Product Lines