Mathematica Eterna
Open Access

Abstract

Fuzzy ideals of pseudo-BCH-algebras

Andrzej Walendziak and Magdalena Wojciechowska-Rysiawa

Characterizations of fuzzy ideals of a pseudo-BCH-algebra are established. Conditions for a fuzzy set to be a fuzzy ideal are given. The homomorphic properties of fuzzy ideals are provided. Finally, characterizations of Noetherian pseudo-BCH-algebras and Artinian pseudoBCH-algebras via fuzzy ideals are obtained