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math.CT2023
A Galois Theory and a Pretorsion Theory in MV-Algebras
Andrea Cappelletti
We explore the relationship between the category of MV-algebras and its full subcategories of perfect and semisimple algebras, showing that this pair of subcategories defines a pre…
math.CT2023
Categorical-Algebraic Properties of Lattice-ordered Groups
Andrea Cappelletti
We study the categorical-algebraic properties of the semi-abelian variety of lattice-ordered groups. In particular, we show that this category is fiber-wise alg…