Partial Addition and Ternary Product Based -So-Semirings-2
2019 ◽
Vol 9
(1S5)
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pp. 306-310
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.
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2014 ◽
Vol 0
(0)
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