Geodesic
On JP-semilattices of Begum and Noor
Mathematica Bohemica, Tome 138 (2013) no. 2, pp. 181-184.

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

In recent papers, S. N. Begum and A. S. A. Noor have studied join partial semilattices (JP-semilattices) defined as meet semilattices with an additional partial operation (join) satisfying certain axioms. We show why their axiom system is too weak to be a satisfactory basis for the authors' constructions and proofs, and suggest an additional axiom for these algebras. We also briefly compare axioms of JP-semilattices with those of nearlattices, another kind of meet semilattices with a partial join operation.
DOI : 10.21136/MB.2013.143290
Classification : 06A12, 06B75, 08A55
Keywords: JP-semilattice; meet semilattice; nearlattice; partial lattice 
@article{10_21136_MB_2013_143290,
     author = {C\={i}rulis, J\={a}nis},
     title = {On {JP-semilattices} of {Begum} and {Noor}},
     journal = {Mathematica Bohemica},
     pages = {181--184},
     publisher = {mathdoc},
     volume = {138},
     number = {2},
     year = {2013},
     doi = {10.21136/MB.2013.143290},
     mrnumber = {3112364},
     zbl = {06221248},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/MB.2013.143290/}
}
TY  - JOUR
AU  - Cīrulis, Jānis
TI  - On JP-semilattices of Begum and Noor
JO  - Mathematica Bohemica
PY  - 2013
SP  - 181
EP  - 184
VL  - 138
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.21136/MB.2013.143290/
DO  - 10.21136/MB.2013.143290
LA  - en
ID  - 10_21136_MB_2013_143290
ER  - 
%0 Journal Article
%A Cīrulis, Jānis
%T On JP-semilattices of Begum and Noor
%J Mathematica Bohemica
%D 2013
%P 181-184
%V 138
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.21136/MB.2013.143290/
%R 10.21136/MB.2013.143290
%G en
%F 10_21136_MB_2013_143290
Cīrulis, Jānis. On JP-semilattices of Begum and Noor. Mathematica Bohemica, Tome 138 (2013) no. 2, pp. 181-184. doi : 10.21136/MB.2013.143290. http://geodesic.mathdoc.fr/articles/10.21136/MB.2013.143290/

Cité par Sources :