Geodesic
Characterizations of the $0$-distributive semilattice
Mathematica Bohemica, Tome 128 (2003) no. 3, pp. 237-252.

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

The $0$-distributive semilattice is characterized in terms of semiideals, ideals and filters. Some sufficient conditions and some necessary conditions for $0$-distributivity are obtained. Counterexamples are given to prove that certain conditions are not necessary and certain conditions are not sufficient.
DOI : 10.21136/MB.2003.134177
Classification : 06A12, 06A99, 06B10, 06B99
Keywords: semilattice; prime ideal; filter 
@article{10_21136_MB_2003_134177,
     author = {Balasubramani, P.},
     title = {Characterizations of the $0$-distributive semilattice},
     journal = {Mathematica Bohemica},
     pages = {237--252},
     publisher = {mathdoc},
     volume = {128},
     number = {3},
     year = {2003},
     doi = {10.21136/MB.2003.134177},
     mrnumber = {2012602},
     zbl = {1052.06002},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/MB.2003.134177/}
}
TY  - JOUR
AU  - Balasubramani, P.
TI  - Characterizations of the $0$-distributive semilattice
JO  - Mathematica Bohemica
PY  - 2003
SP  - 237
EP  - 252
VL  - 128
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.21136/MB.2003.134177/
DO  - 10.21136/MB.2003.134177
LA  - en
ID  - 10_21136_MB_2003_134177
ER  - 
%0 Journal Article
%A Balasubramani, P.
%T Characterizations of the $0$-distributive semilattice
%J Mathematica Bohemica
%D 2003
%P 237-252
%V 128
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.21136/MB.2003.134177/
%R 10.21136/MB.2003.134177
%G en
%F 10_21136_MB_2003_134177
Balasubramani, P. Characterizations of the $0$-distributive semilattice. Mathematica Bohemica, Tome 128 (2003) no. 3, pp. 237-252. doi : 10.21136/MB.2003.134177. http://geodesic.mathdoc.fr/articles/10.21136/MB.2003.134177/

Cité par Sources :