@article{Kitpratyakul2022, 
author = {Pongsakorn Kitpratyakul and Bundit Pibaljommee},
title = {On substructures of semigroups of inductive terms},
year = {2022},
journal = {AIMS Mathematics},
volume = {7},
number = {6},
pages = {9835-9845},
keywords = {terms, semigroups, inductive composition of terms, subsemigroups, semigroup factorizations},
url = {https://www.sciopen.com/article/10.3934/math.2022548},
doi = {10.3934/math.2022548},
abstract = {An inductive composition is an operation generalizing from a superposition        S    n   on the set of all    n-ary terms of type    τ. A binary operation called inductive product is obtainable from such composition. It is a generalization of a tree language product but on the set of all    n-ary terms of type    τ. Unlike the original one, this inductive product is not associative on the mentioned set. Nonetheless, it turns to be associative on some restricted set. A semigroup arising in this way is the main focus of this paper. We consider its special subsemigroups and semigroup factorizations.}
}