Topological representation and quantic separation axioms of semi-quantales | ||
| Journal of the Egyptian Mathematical Society | ||
| Volume 24, Issue 4, 2016, Pages 568-573 PDF (362.25 K) | ||
| DOI: 10.1016/j.joems.2016.01.002 | ||
| Author | ||
| Kamal El-Saady | ||
| Department of Mathematics, Faculty of Science, South Valley University, Qena 83523, Egypt | ||
| Abstract | ||
| An adjunction between the category of semi-quantales and the category of lattice-valued quasi-topological spaces is established. Some characterizations of quantic separation axioms, for semi-quantales and lattice-valued quasi-topological spaces, are obtained and some relations among these axioms are established | ||
| Keywords | ||
| Semi-quantales; Spatiality; Sobriety; L -quasi-topology; Separation axioms | ||
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