Geodesic
A Pointfree Analogues of Lattice-valued Bitopological Spaces
Kragujevac Journal of Mathematics, Tome 42 (2018) no. 4, p. 539 Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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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 
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     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 },
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     number = {4},
     language = {en},
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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/