On formations of monoids
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http://hdl.handle.net/10045/107433
| Títol: | On formations of monoids |
|---|---|
| Autors: | Branco, Mário J.J. | Gomes, Gracinda M.S. | Pin, Jean-Éric | Soler-Escrivà, Xaro |
| Grups d'investigació o GITE: | Grupo de Álgebra y Geometría (GAG) |
| Centre, Departament o Servei: | Universidad de Alicante. Departamento de Matemáticas |
| Paraules clau: | Monoid formation | Group formation | Semigroup |
| Àrees de coneixement: | Álgebra |
| Data de publicació: | de novembre-2020 |
| Editor: | Elsevier |
| Citació bibliogràfica: | Journal of Pure and Applied Algebra. 2020, 224(11): 106401. doi:10.1016/j.jpaa.2020.106401 |
| Resum: | A formation of monoids is a class of finite monoids closed under taking quotients and subdirect products. Formations of monoids were first studied in connection with formal language theory, but in this paper, we come back to an algebraic point of view. We give two natural constructions of formations based on constraints on the minimal ideal and on the maximal subgroups of a monoid. Next we describe two sublattices of the lattice of all formations, and give, for each of them, an isomorphism with a known lattice of varieties of monoids. Finally, we study formations and varieties containing only Clifford monoids, completely describe such varieties and discuss the case of formations. |
| Patrocinadors: | The first and second authors received financial support from Fundação para a Ciência e a Tecnologia (FCT) through the following four projects: UID/MULTI/04621/2013, UIDB/04621/2020 and UIDP/04621/2020 of CEMAT at Faculdade de Ciências, Universidade de Lisboa, and project PTDC/MAT-PUR/31174/2017. The third author is partially funded by the DeLTA project (ANR-16-CE40-0007). |
| URI: | http://hdl.handle.net/10045/107433 |
| ISSN: | 0022-4049 (Print) | 1873-1376 (Online) |
| DOI: | 10.1016/j.jpaa.2020.106401 |
| Idioma: | eng |
| Tipus: | info:eu-repo/semantics/article |
| Drets: | © 2020 Elsevier B.V. |
| Revisió científica: | si |
| Versió de l'editor: | https://doi.org/10.1016/j.jpaa.2020.106401 |
| Apareix a la col·lecció: | INV - GAG - Artículos de Revistas |
Arxius per aquest ítem:
| Arxiu | Descripció | Tamany | Format | |
|---|---|---|---|---|
 Branco_etal_2020_JPureAppliedAlgebra_final.pdf | Versión final (acceso restringido) | 535,69 kB | Adobe PDF | Obrir Sol·licitar una còpia |
 Branco_etal_2020_JPureAppliedAlgebra_preprint.pdf | Preprint (acceso abierto) | 313,03 kB | Adobe PDF | Obrir Vista prèvia |
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