Results on hyper equality algebras

Authors

  • M.A. Hashemi Department of Mathematics, Payame Noor University, P.O.Box 19395-3697, Tehran, Iran
  • Rajab Ali Borzooei Shahid Beheshti University

DOI:

https://doi.org/10.30495/jme.v14i0.1317

Keywords:

Equality algebra, hyper equality algebra, hyper BE-algebra, hyper K-algebra, hyper M V -algebra, hyper hoop.

Abstract

Equality algebras as a generalization of EQ-algebras introduced by Jenei [8]. Hyper equal- ity algebras introduced and studied in [4], as a generalization of equality algebras. Now, in this paper, we investigate relations among hyper equality algebras and other hyper algebraic structures such as hyper K(BE, MV)-algebras and hyper hoops. Specially, we prove that any linearly ordered hyper MV-algebra is a strongly commutative symmetric hyper equality algebra and under some conditions, any strongly commutative involutive hyper equality algebra is a hyper MV-algebra.

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Published

2019-10-29

Issue

Vol. 14

Section

Vol. 14, No. 3, (2020)

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