ON HYPER EQ-ALGEBRAS

Authors

  • R.A. Borzooei Shahid Beheshti University - Department of Mathematics
  • B. Ganji Saffar Payamnour University - Department of Mathematics
  • R. Ameri Tehran University - Department of Mathematics

Keywords:

hyper EQ-algebra, EQ-algebra, good and separated hyper EQ-algebras, (pre-)filter, hyper BCK-algebra, (weak) hyper residuated lattice

Abstract

In this paper, we applied the hyper structures theory to EQ-algebras and we introduced the notion of hyper EQ-algebra which is a generalization of EQ-algebra.  In the following, we define the notions of good and separated hyper EQ-algebras and state and prove some properties of (good, separated) hyper EQ-algebras.  Moreover, by define the concept of (pre)filter, we construct the quotient hyper EQ-algebra.  Finally, we investigate the relation between hyper EQ-algebras and hyper BCK-algebras and (weak) hyper residuated lattices.

Cover of n°31 Italian Journal of Pure and Applied Mathematics

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Published

2013-12-31

How to Cite

Borzooei, R., Saffar, B. G., & Ameri, R. (2013). ON HYPER EQ-ALGEBRAS. Italian Journal of Pure and Applied Mathematics, 31, 77–96. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/6159

Issue

N°31 - December 2013

Section

Articoli - Forum Editrice

License

Copyright (c) 2013 R.A. Borzooei, B. Ganji Saffar, R. Ameri

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

L'opera è pubblicata sotto  Licenza Creative Commons Attribuzione 4.0 Internazionale (CC-BY)