Regular semigroups weakly generated by set

• Tipo: Artigo em Revista Científica Internacional
• Data: 2024

Autores

Luís Oliveira (Autor) FCUP

Revista

Título: Semigroup Forum

ISSN: 0037-1912

Editora: Springer Nature

Indexação

ISI Web of Knowledge - 0 Citações

Scopus - 0 Citações

Outras Informações

ID Authenticus: P-017-55Y

DOI: 10.1007/s00233-024-10475-1

Abstract (EN): We prove the existence and uniqueness (up to isomorphism) of a regular semigroup F(X)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${{\,\textrm{F}\,}}(X)$$\end{document} weakly generated by a set X of elements such that all other regular semigroups weakly generated by X are homomorphic images of F(X)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${{\,\textrm{F}\,}}(X)$$\end{document}. The semigroup F(X)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${{\,\textrm{F}\,}}(X)$$\end{document} is introduced by a presentation and the word problem for that presentation is solved. The structure of the semigroup F(X)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${{\,\textrm{F}\,}}(X)$$\end{document} is also studied.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 30