- ON PSEUDO BH-ALGEBRAS
- JUN, YOUNG BAE ; AHN, SUN SHIN ;
- Honam Mathematical Journal, volume 37, issue 2, 2015, Pages 207~219
- DOI : 10.5831/HMJ.2015.37.2.207

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.