Quasi-pseudo-MV algebras (quasi-pMV alge- bras, for short) were introduced both as the generalization of quasi-MV algebras and as the generalization of pseudo- MV algebras. In the present paper, we mainly investigate ideals and congruences in a quasi-pMV algebra. We present the properties of ideals of quasi-pMV algebras and investi- gate some special ideals. Furthermore, we study the normal ideals in detail and characterize the bijective correspondence
between normal ideals and ideal congruences. Finally, we introduce weak ideals of a quasi-pMV algebra and show therelation existing between normal weak ideals and congru- ences.

EB00000002234K

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