Theory of constructive semigroups with apartness -- foundations, development and practice
General Mathematics
2023-06-22 v4
Abstract
This paper has several purposes. We present through a critical review the results from already published papers on the constructive semigroup theory, and contribute to its further development by giving solutions to open problems. We also draw attention to its possible applications in other (constructive) mathematics disciplines, in computer science, social sciences, economics, etc. Another important goal of this paper is to provide a clear, understandable picture of constructive semigroups with apartness in Bishop's style both to (classical) algebraists and the ones who apply algebraic knowledge.
Cite
@article{arxiv.2008.11008,
title = {Theory of constructive semigroups with apartness -- foundations, development and practice},
author = {Melanija Mitrovic and Mahouton Norbert Hounkonnou and Marian Alexandru Baroni},
journal= {arXiv preprint arXiv:2008.11008},
year = {2023}
}