BIBLIOS

Tipo
Artigos em Revista

Tipo de Documento
Artigo Completo

Título
Ehresmann monoids: Adequacy and expansions

Participantes na publicação
Mário J.J. Branco (Author)
Dep. Matemática
CEMAT
Gracinda M. S. Gomes (Author)
Dep. Matemática
CEMAT
Victoria Gould (Author)
Yanhui Wang (Author)

Resumo
It is known that an Ehresmann monoid P(T,Y) may be constructed from a monoid T acting via order-preserving maps on both sides of a semilattice Y with identity, such that the actions satisfy an appropriate compatibility criterion. Our main result shows that if T is cancellative and equidivisible (as is the case for the free monoid X?), the monoid P(T,Y) not only is Ehresmann but also satisfies the stronger property of being adequate.\n\nFixing T, Y and the actions, we characterise P(T,Y) as being unique in the sense that it is the initial object in a suitable category of Ehresmann monoids. We also prove that the operator P defines an expansion of Ehresmann monoids.


Instituição
FACULDADE DE CIÊNCIAS DA UNIVERSIDADE DE LISBOA

Suporte
Journal of Algebra

Identificadores da Publicação
ISSN - 0021-8693

Editora
Elsevier BV



Identificadores do Documento
URL - http://dx.doi.org/10.1016/j.jalgebra.2018.06.036
DOI - https://doi.org/10.1016/j.jalgebra.2018.06.036

Identificadores de Qualidade
SCIMAGO Q1 (2018) - 1.137 - Algebra and Number Theory
SCIMAGO Q1 (2017) - 1.187 - Algebra and Number Theory