This analysis demonstrates the role of radical ideals in MV-algebras and lu-groups, suggesting new equivalences.
In this work, we describe an interpretation of the radical of an ideal in the context of lu-groups, semi-low lu-rings and PMVf -algebras. These notions result naturally from a known notion in the context of MV-algebras and the use of categorical equivalences. The resulting notions in these contexts allow us to propose and prove a version of Hilbert’s Nullstellensatz Theorem.
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Llano et al. (2025) studied this question.
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