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  • Posner’s theorems in semirings
    Ganesh, S.; Selvan, V.

    Indian journal of pure and applied mathematics, 06/2024, Letnik: 55, Številka: 2
    Journal Article

    Various researchers extended and generalized the two main theorems of Posner 3 in multiple directions. In this paper we generalize these two main results to semirings. The main tool we use to accomplish this generalization is by defining derivation ( d Δ ) in the ring of differences ( R Δ ) of a semiring ( R ) corresponding to the derivation d of R .