Results on hyper equality algebras
M. A. Hashemi, R. A. Borzooei · Journal of mathematical extension. · 2019
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.