Geodesic
A Pointfree Analogues of Lattice-valued Bitopological Spaces
Kragujevac Journal of Mathematics, Tome 42 (2018) no. 4, p. 539

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

The concept of coupled semi-quantales is introduced. An adjunction between the category of coupled semi-quantales and the category of lattice-valued biquasi-topological spaces is established. The topological and the lattice-theoretic concepts of regularity and compactness are extended to both lattice-valued biquasi-topological spaces and coupled semi-quantales, respectively. Some relations among these axioms are established.
Classification : 06F07 54A40, 54H10, 54D15
Keywords: Semi-quantales, spatiality, sobriety, $L$-quasi-topology 
@article{KJM_2018_42_4_a6,
     author = {M. Azab Abd-Allah and K. El-Saady and A. Ghareeb and A. Temraz},
     title = {A {Pointfree} {Analogues} of {Lattice-valued} {Bitopological} {Spaces}},
     journal = {Kragujevac Journal of Mathematics},
     pages = {539 },
     publisher = {mathdoc},
     volume = {42},
     number = {4},
     year = {2018},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KJM_2018_42_4_a6/}
}
TY  - JOUR
AU  - M. Azab Abd-Allah
AU  - K. El-Saady
AU  - A. Ghareeb
AU  - A. Temraz
TI  - A Pointfree Analogues of Lattice-valued Bitopological Spaces
JO  - Kragujevac Journal of Mathematics
PY  - 2018
SP  - 539 
VL  - 42
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/KJM_2018_42_4_a6/
LA  - en
ID  - KJM_2018_42_4_a6
ER  - 
%0 Journal Article
%A M. Azab Abd-Allah
%A K. El-Saady
%A A. Ghareeb
%A A. Temraz
%T A Pointfree Analogues of Lattice-valued Bitopological Spaces
%J Kragujevac Journal of Mathematics
%D 2018
%P 539 
%V 42
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/KJM_2018_42_4_a6/
%G en
%F KJM_2018_42_4_a6
M. Azab Abd-Allah; K. El-Saady; A. Ghareeb; A. Temraz. A Pointfree Analogues of Lattice-valued Bitopological Spaces. Kragujevac Journal of Mathematics, Tome 42 (2018) no. 4, p. 539 . http://geodesic.mathdoc.fr/item/KJM_2018_42_4_a6/