The Notion of Radical Ideals in MV-Algebras and Product MV-Algebras
Keywords:
Radical, Nullstellensatz, MV-algebras, Product MV-algebras, lattice-ordered groups, lattice-ordered rings
Abstract
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.
Published
2025-08-12
How to Cite
Diaz Llano, A., Ramírez-Ramírez, V. H., & Gonzalez, J. R. (2025). The Notion of Radical Ideals in MV-Algebras and Product MV-Algebras. Statistics, Optimization & Information Computing, 14(4), 1703-1715. https://doi.org/10.19139/soic-2310-5070-2479
Issue
Section
Research Articles
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