SONGKLANAKARIN JOURNAL OF SCIENCE & TECHNOLOGY

Volume 41, No. 06, Month NOVEMBER, Year 2019, Pages 1248 - 1259

Monoid of linear hypersubstitutions for algebraic systems of type ((n), (z)) and its regularity

Thodsaporn Kumduang, Sorasak Leeratanavalee

Abstract Download PDF

An algebraic system is a structure which consists of a nonempty set together with a sequence of operations and a sequence of relations on this set. Properties of this structure are expressed in terms and formulas. In this paper, we show that the set of all linear hypersubstitutions for algebraic systems of the type ((𝑛), (2)) with a binary operation on this set and the identity element forms a monoid. Finally, we characterize idempotent and regular elements on the monoid.

Keywords

algebraic systems, linear terms, linear formulas, linear hypersubstitutions

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