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ON GENERALIZED UPPER SETS IN BE-ALGEBRAS

  • Published : 2009.03.31

Abstract

In this paper, we develop the idea of a generalized upper set in a BE-algebra. Furthermore, these sets are considered in the context of transitive and self distributive BE-algebras and their ideals, providing characterizations of one type, the generalized upper sets, in terms of the other type, ideals.

Keywords

References

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  6. Commutative Ideals in BE-algebras vol.52, pp.4, 2012, https://doi.org/10.5666/KMJ.2012.52.4.483
  7. FILTERS IN COMMUTATIVE BE-ALGEBRAS vol.27, pp.2, 2012, https://doi.org/10.4134/CKMS.2012.27.2.233
  8. Commutative and Bounded BE-algebras vol.2013, 2013, https://doi.org/10.1155/2013/473714
  9. Smarandache n-Structure on CI-Algebras vol.63, pp.1-2, 2013, https://doi.org/10.1007/s00025-011-0189-7
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