IJPAM: Volume 113, No. 1 (2017)

Title

COUPLED QUANTALES AND A NON-COMMUTATIVE
APPROACH TO BITOPOLOGICAL SPACES

Authors

M.A. Abd-Allah$^1$, Kamal El-Saady$^2$, A. Ghareeb$^3$, Ayat A. Temraz$^4$
$^1$Department of Mathematics
Faculty of Science
Assuit University
Assiut 71516, EGYPT
$^{2,3,4}$Department of Mathematics
Faculty of Science
South Valley University
Qena, 83523, EGYPT

Abstract

The concept of a coupled quantales is introduced as a non-commutative extension of the concept of biframes. Also an approach to non-commutative bitopology is studied. Then an adjunction between the category of coupled quantales and the category of biquantum spaces is established.

History

Received: July 24, 2016
Revised: December 1, 2016
Published: February 28, 2017

AMS Classification, Key Words

AMS Subject Classification: 06F07, 06D22, 54E55, 54B35
Key Words and Phrases: quantales, quantum space, bitopology, separation axioms

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Bibliography

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How to Cite?

DOI: 10.12732/ijpam.v113i1.2 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2017
Volume: 113
Issue: 1
Pages: 7 -


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