International Journal of Modern Computation, Information and Communication Technology
ISSN 2581-5954
November 2018, Vol. 1, Issue 6, p. 116-120.
Characterizations of Finite Semigroups of Multiple Operators
I. Okwany, D. Odongo, N. B. Okelo*
School of Mathematics and Actuarial Science, Jaramogi Oginga Odinga University of Science and Technology, P. O. Box 210-40601, Bondo-Kenya.
*Corresponding author’s e-mail: bnyaare@yahoo.com
Abstract
In the present paper, we studied Ω-monoids. We define and characterize the Ω-semigroups as a universal algebra which is a semigroup and in which there is given a system of binary operations Ω satisfying the associative condition: ((𝑥, 𝑦), 𝑧)𝛽 = (𝑥, (𝑦, 𝑧)𝛽)𝛼 for all 𝑥, 𝑦, 𝑧 ∈ 𝑆 and for each pair of binary operations 𝛼, 𝛽.
Keywords: 𝛀-semigroup; Finite derivation type; String-rewriting systems; Derivation graph; Homotopy.
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