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http://dx.doi.org/10.5666/KMJ.2022.62.1.57

Valuations on Ternary Semirings  

Pal, Sumana (Department of Mathematics and Statistics, Aliah University)
Sircar, Jayasri (Department of Mathematics, Lady Brabourne College)
Mondal, Pinki (Sunity Academy)
Publication Information
Kyungpook Mathematical Journal / v.62, no.1, 2022 , pp. 57-67 More about this Journal
Abstract
In the present study, we introduce a valuation of ternary semiring on an ordered abelian group. Motivated by the construction of valuation rings, we study some properties of ideals in ternary semiring arising in connection with the valuation map. We also explore ternary valuation semirings for a noncommuative ternary division semiring. We further consider the notion of convexity in a ternary semiring and how it is reflected in the valuation map.
Keywords
Valuation; valuation ring; ternary semiring; ternary division semiring;
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