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- W3175127797 abstract "The set of all [Formula: see text]-ary terms of type [Formula: see text] together with a binary operation derived from a superposition [Formula: see text] forms various forms of semigroups. One may generalize such binary operation by deriving it from an inductive composition of terms and call it an inductive product. However, this operation is not associative on the same base set but it becomes associative when all elements of subterms of a fixed term used in an inductive product except itself are excluded from the base set. Hence, a semigroup is formed. In this paper, we mainly focus on the algebraic structures of this semigroup such as idempotent elements, elements associating with each type of regularity condition, and Green’s relations. The formulae of complexity of inducted terms are also under investigation." @default.
- W3175127797 created "2021-07-05" @default.
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- W3175127797 date "2021-04-29" @default.
- W3175127797 modified "2023-09-27" @default.
- W3175127797 title "Semigroups of an inductive composition of terms" @default.
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- W3175127797 doi "https://doi.org/10.1142/s1793557122500383" @default.
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