Geodesic
Direct decompositions of dually residuated lattice-ordered monoids
Discussiones Mathematicae. General Algebra and Applications, Tome 24 (2004) no. 1, pp. 63-74

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

The class of dually residuated lattice ordered monoids (DRl-monoids) contains, in an appropriate signature, all l-groups, Brouwerian algebras, MV- and GMV-algebras, BL- and pseudo BL-algebras, etc. In the paper we study direct products and decompositions of DRl-monoids in general and we characterize ideals of DRl-monoids which are direct factors. The results are then applicable to all above mentioned special classes of DRl-monoids.
Keywords: DRl-monoid, lattice-ordered monoid, ideal, normal ideal, polar, direct factor 
@article{DMGAA_2004_24_1_a4,
     author = {Rach\r{u}nek, Ji\v{r}{\'\i} and \v{S}alounov\'a, Dana},
     title = {Direct decompositions of dually residuated lattice-ordered monoids},
     journal = {Discussiones Mathematicae. General Algebra and Applications},
     pages = {63--74},
     publisher = {mathdoc},
     volume = {24},
     number = {1},
     year = {2004},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/DMGAA_2004_24_1_a4/}
}
TY  - JOUR
AU  - Rachůnek, Jiří
AU  - Šalounová, Dana
TI  - Direct decompositions of dually residuated lattice-ordered monoids
JO  - Discussiones Mathematicae. General Algebra and Applications
PY  - 2004
SP  - 63
EP  - 74
VL  - 24
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/DMGAA_2004_24_1_a4/
LA  - en
ID  - DMGAA_2004_24_1_a4
ER  - 
%0 Journal Article
%A Rachůnek, Jiří
%A Šalounová, Dana
%T Direct decompositions of dually residuated lattice-ordered monoids
%J Discussiones Mathematicae. General Algebra and Applications
%D 2004
%P 63-74
%V 24
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/DMGAA_2004_24_1_a4/
%G en
%F DMGAA_2004_24_1_a4
Rachůnek, Jiří; Šalounová, Dana. Direct decompositions of dually residuated lattice-ordered monoids. Discussiones Mathematicae. General Algebra and Applications, Tome 24 (2004) no. 1, pp. 63-74. http://geodesic.mathdoc.fr/item/DMGAA_2004_24_1_a4/