[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.5831/HMJ.2015.37.2.207

ON PSEUDO BH-ALGEBRAS

JUN, YOUNG BAE (Department of Mathematics Education, Gyeongsang National University)
AHN, SUN SHIN (Department of Mathematics Education, Dongguk University)

Publication Information

Honam Mathematical Journal / v.37, no.2, 2015 , pp. 207-219 More about this Journal

Abstract

As a generalization of BH-algebras, the notion of pseudo BH-algebra is introduced, and some of their properties are investigated. The notions of pseudo ideals, pseudo atoms, pseudo strong ideals, and pseudo homomorphisms in pseudo BH-algebras are introduced. Characterizations of their properties are provided. We show that every pseudo homomorphic image and preimage of a pseudo ideal is also a pseudo ideal. Any pseudo ideal of a pseudo BH-algebra can be decomposed into the union of some sets. The notion of pseudo complicated BH-algebra is introduced and some related properties are obtained.

Keywords

pseudo atom; pseudo (strong) ideal; pseudo (complicated) BH-algebra;

Citations & Related Records

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