Geodesic
Extensions of partially ordered partial abelian monoids
Czechoslovak Mathematical Journal, Tome 56 (2006) no. 1, pp. 155-178.

Voir la notice de l'article dans Czech Digital Mathematics Library

The notion of a partially ordered partial abelian monoid is introduced and extensions of partially ordered abelian monoids by partially ordered abelian groups are studied. Conditions for the extensions to exist are found. The cases when both the above mentioned structures have the Riesz decomposition property, or are lattice ordered, are treated. Some applications to effect algebras and MV-algebras are shown.
Classification : 03G12, 06F15, 20F60, 81P10
Mots-clés : abelian partially ordered groups; partially ordered partial abelian monoids; effect algebras; MV-algebras; Riesz decomposition properties; short exact sequences; extensions 
@article{CMJ_2006__56_1_a10,
     author = {Pulmannov\'a, Sylvia},
     title = {Extensions of partially ordered partial abelian monoids},
     journal = {Czechoslovak Mathematical Journal},
     pages = {155--178},
     publisher = {mathdoc},
     volume = {56},
     number = {1},
     year = {2006},
     mrnumber = {2207012},
     zbl = {1164.81300},
     language = {en},
     url = {https://geodesic-test.mathdoc.fr/item/CMJ_2006__56_1_a10/}
}
TY  - JOUR
AU  - Pulmannová, Sylvia
TI  - Extensions of partially ordered partial abelian monoids
JO  - Czechoslovak Mathematical Journal
PY  - 2006
SP  - 155
EP  - 178
VL  - 56
IS  - 1
PB  - mathdoc
UR  - https://geodesic-test.mathdoc.fr/item/CMJ_2006__56_1_a10/
LA  - en
ID  - CMJ_2006__56_1_a10
ER  - 
%0 Journal Article
%A Pulmannová, Sylvia
%T Extensions of partially ordered partial abelian monoids
%J Czechoslovak Mathematical Journal
%D 2006
%P 155-178
%V 56
%N 1
%I mathdoc
%U https://geodesic-test.mathdoc.fr/item/CMJ_2006__56_1_a10/
%G en
%F CMJ_2006__56_1_a10
Pulmannová, Sylvia. Extensions of partially ordered partial abelian monoids. Czechoslovak Mathematical Journal, Tome 56 (2006) no. 1, pp. 155-178. https://geodesic-test.mathdoc.fr/item/CMJ_2006__56_1_a10/