The Prime Ideals of QMV*-algebras

Abstract

QMV*-algebras were introduced in [1] as the extension of MV*-algebras and quasi-MV algebras. In the present paper, the concepts of prime ideals are introduced into QMV*-algebras. First some related properties of QMV*-algebras are listed. Second the properties of prime ideals of a QMV*-algebra are investigated and the quotient algebra by a prime ideal is characterized. Finally, maximal ideals of a QMV*-algebra are discussed.