On a Definition of a Variety of Monadic ℓ-Groups
In this paper we expand previous results obtained in [2] about the study of categorical equivalence between the category IRL 0 of integral residuated lattices with bottom, which generalize MV-algebras and a category whose objects are called c-differential residuated lattices. The equivalence is give...
Guardado en:
Autores principales: | , , |
---|---|
Formato: | Articulo |
Lenguaje: | Inglés |
Publicado: |
2013
|
Materias: | |
Acceso en línea: | http://sedici.unlp.edu.ar/handle/10915/139814 |
Aporte de: |
id |
I19-R120-10915-139814 |
---|---|
record_format |
dspace |
institution |
Universidad Nacional de La Plata |
institution_str |
I-19 |
repository_str |
R-120 |
collection |
SEDICI (UNLP) |
language |
Inglés |
topic |
Ciencias Exactas Matemática Monadic ℓ-groups Monadic MV algebras Residuated Lattices |
spellingShingle |
Ciencias Exactas Matemática Monadic ℓ-groups Monadic MV algebras Residuated Lattices Castiglioni, José Luis Lewin, Renato A. Sagastume, Marta Susana On a Definition of a Variety of Monadic ℓ-Groups |
topic_facet |
Ciencias Exactas Matemática Monadic ℓ-groups Monadic MV algebras Residuated Lattices |
description |
In this paper we expand previous results obtained in [2] about the study of categorical equivalence between the category IRL 0 of integral residuated lattices with bottom, which generalize MV-algebras and a category whose objects are called c-differential residuated lattices. The equivalence is given by a functor K∙, motivated by an old construction due to J. Kalman, which was studied by Cignoli in [3] in the context of Heyting and Nelson algebras. These results are then specialized to the case of MV-algebras and the corresponding category MV∙ of monadic MV-algebras induced by “Kalman’s functor” K∙. Moreover, we extend the construction to ℓ-groups introducing the new category of monadic ℓ-groups together with a functor Γ♯, that is “parallel” to the well known functor Γ between ℓ and MV-algebras. |
format |
Articulo Articulo |
author |
Castiglioni, José Luis Lewin, Renato A. Sagastume, Marta Susana |
author_facet |
Castiglioni, José Luis Lewin, Renato A. Sagastume, Marta Susana |
author_sort |
Castiglioni, José Luis |
title |
On a Definition of a Variety of Monadic ℓ-Groups |
title_short |
On a Definition of a Variety of Monadic ℓ-Groups |
title_full |
On a Definition of a Variety of Monadic ℓ-Groups |
title_fullStr |
On a Definition of a Variety of Monadic ℓ-Groups |
title_full_unstemmed |
On a Definition of a Variety of Monadic ℓ-Groups |
title_sort |
on a definition of a variety of monadic ℓ-groups |
publishDate |
2013 |
url |
http://sedici.unlp.edu.ar/handle/10915/139814 |
work_keys_str_mv |
AT castiglionijoseluis onadefinitionofavarietyofmonadiclgroups AT lewinrenatoa onadefinitionofavarietyofmonadiclgroups AT sagastumemartasusana onadefinitionofavarietyofmonadiclgroups |
bdutipo_str |
Repositorios |
_version_ |
1764820458554785793 |