Semitopological BL-Algebras and MV -Algebras

@article{Zahiri2014SemitopologicalBA,
  title={Semitopological BL-Algebras and MV -Algebras},
  author={Omid Zahiri and Rajab Ali Borzooei},
  journal={Demonstratio Mathematica},
  year={2014},
  volume={47},
  pages={522 - 538}
}
In this paper, by considering the notion of upsets we construct some topologies on BLalgebras. We show that any BL-algebras with respect to these topologies formes semitopological BLalgebra. Then we obtain some of the topological aspects of theses structures such as connectivity and compactness. Moreover, we introduced two kinds of semitopological MV -algebra by using two kinds of definition of MV -algebra and show that they are equivalent. Mathematics Subject Classification: 03G25, 54E15… CONTINUE READING
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New topology in residuated lattices

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