Geodesic
Normalization of $MV$-algebras
Mathematica Bohemica, Tome 130 (2005) no. 3, pp. 283-300

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

We consider algebras determined by all normal identities of $MV$-algebras, i.e. algebras of many-valued logics. For such algebras, we present a representation based on a normalization of a sectionally involutioned lattice, i.e. a $q$-lattice, and another one based on a normalization of a lattice-ordered group.
DOI : 10.21136/MB.2005.134099
Classification : 06D05, 06D35, 06F20, 08B20
Keywords: $MV$-algebra; abelian lattice-ordered group; $q$-lattice; normalization of a variety 
@article{10_21136_MB_2005_134099,
     author = {Chajda, I. and Hala\v{s}, R. and K\"uhr, J. and Van\v{z}urov\'a, A.},
     title = {Normalization of $MV$-algebras},
     journal = {Mathematica Bohemica},
     pages = {283--300},
     publisher = {mathdoc},
     volume = {130},
     number = {3},
     year = {2005},
     doi = {10.21136/MB.2005.134099},
     mrnumber = {2164658},
     zbl = {1112.06012},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/MB.2005.134099/}
}
TY  - JOUR
AU  - Chajda, I.
AU  - Halaš, R.
AU  - Kühr, J.
AU  - Vanžurová, A.
TI  - Normalization of $MV$-algebras
JO  - Mathematica Bohemica
PY  - 2005
SP  - 283
EP  - 300
VL  - 130
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.21136/MB.2005.134099/
DO  - 10.21136/MB.2005.134099
LA  - en
ID  - 10_21136_MB_2005_134099
ER  - 
%0 Journal Article
%A Chajda, I.
%A Halaš, R.
%A Kühr, J.
%A Vanžurová, A.
%T Normalization of $MV$-algebras
%J Mathematica Bohemica
%D 2005
%P 283-300
%V 130
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.21136/MB.2005.134099/
%R 10.21136/MB.2005.134099
%G en
%F 10_21136_MB_2005_134099
Chajda, I.; Halaš, R.; Kühr, J.; Vanžurová, A. Normalization of $MV$-algebras. Mathematica Bohemica, Tome 130 (2005) no. 3, pp. 283-300. doi: 10.21136/MB.2005.134099

Cité par Sources :