STRONG IDEALS IN QI-ALGEBRAS

DANIEL A. ROMANO

International Mathematical Virtual Institute, Kordunaška Street 6, 78000 Banja Luka, Bosnia and Herzegovina, e-mail: daniel.a.romano@hotmail.com, bato49@hotmail.com , ORCID: 0000-0003-1148-3258


Abstract

 The notion of QI-algebras was introduced in 2017 as a generalization of the concept of BI-algebras. In this article, the concept of strong ideal in QI-algebra is and its properties are observed. Also, we study some properties of weak ideals and α-ideals in a QI-algebra. Moreover, we prove that the direct product of a family of QI-algebras is a QI-algebra.

Keywords

QI-algebra ideal strong ideal