Geodesic
Free Modal Pseudocomplemented De Morgan Algebras
Bulletin of the Section of Logic, Tome 47 (2018) no. 2.

Voir la notice de l'article provenant de la source Library of Science

Modal pseudocomplemented De Morgan algebras (or mpM-algebras) were investigated in A. V. Figallo, N. Oliva, A. Ziliani, Modal pseudocomplemented De Morgan algebras, Acta Univ. Palacki. Olomuc., Fac. rer. nat., Mathematica 53, 1 (2014), pp. 65–79, and they constitute a proper subvariety of the variety of pseudocomplemented De Morgan algebras satisfying xΛ(∼x)* = (∼(xΛ(∼x)*))* studied by H. Sankappanavar in 1987. In this paper the study of these algebras is continued. More precisely, new characterizations of mpM-congruences are shown. In particular, one of them is determined by taking into account an implication operation which is defined on these algebras as weak implication. In addition, the finite mpM-algebras were considered and a factorization theorem of them is given. Finally, the structure of the free finitely generated mpM-algebras is obtained and a formula to compute its cardinal number in terms of the number of the free generators is established. For characterization of the finitely-generated free De Morgan algebras, free Boole-De Morgan algebras and free De Morgan quasilattices see: [16, 17, 18].
Keywords: Pseudocomplemented De Morgan algebras, congruences, free algebras 
@article{BSL_2018_47_2_a1,
     author = {Figallo, Aldo V. and Oliva, Nora and Ziliani, Alicia},
     title = {Free {Modal} {Pseudocomplemented} {De} {Morgan} {Algebras}},
     journal = {Bulletin of the Section of Logic},
     publisher = {mathdoc},
     volume = {47},
     number = {2},
     year = {2018},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BSL_2018_47_2_a1/}
}
TY  - JOUR
AU  - Figallo, Aldo V.
AU  - Oliva, Nora
AU  - Ziliani, Alicia
TI  - Free Modal Pseudocomplemented De Morgan Algebras
JO  - Bulletin of the Section of Logic
PY  - 2018
VL  - 47
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/BSL_2018_47_2_a1/
LA  - en
ID  - BSL_2018_47_2_a1
ER  - 
%0 Journal Article
%A Figallo, Aldo V.
%A Oliva, Nora
%A Ziliani, Alicia
%T Free Modal Pseudocomplemented De Morgan Algebras
%J Bulletin of the Section of Logic
%D 2018
%V 47
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/BSL_2018_47_2_a1/
%G en
%F BSL_2018_47_2_a1
Figallo, Aldo V.; Oliva, Nora; Ziliani, Alicia. Free Modal Pseudocomplemented De Morgan Algebras. Bulletin of the Section of Logic, Tome 47 (2018) no. 2. http://geodesic.mathdoc.fr/item/BSL_2018_47_2_a1/