Topological Algebra and its Applications (Dec 2022)

Closure Fuzzy Filters of Decomposable MS-Algebras

  • Gubena Yeshiwas Mebrat,
  • Alemayehu Teferi Getachew,
  • Wondifraw Yohannes Gedamu

DOI
https://doi.org/10.1515/taa-2022-0128
Journal volume & issue
Vol. 10, no. 1
pp. 216 – 226

Abstract

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In this paper, we give some results of closure fuzzy filters of decomposable MS-algebras, characterization of closure fuzzy filters, and homomorphism of closure fuzzy filters. It is observed that the class of all closure fuzzy filters of a decomposable MS-algebra forms a bounded distributive lattice. We have also characterized the class of all closure fuzzy filters of a decopmposable MS-algebra in terms of boosters. Some properties of the homomorphic images and the inverse images of closure fuzzy filters are studied.

Keywords