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Showing 1 to 2 of 2 for “"pretorsion theory"”.
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A CATEGORICAL-ALGEBRAIC EXPLORATION OF MODELS FOR MANY-VALUED LOGIC
… show that this pair of subcategories defines a pretorsion theory, which is the generalization to a non-pointed context of the classical notion of torsion theory. We study the Galois structure associated with the reflection of semisimple MV-algebras, proving that it is admissible from the point …
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TORSION THEORIES BESIDE THE POINT -- HOMOTOPICAL AND TWO-DIMENSIONAL APPROACHES
This thesis investigates the notion of torsion theory beyond the classical pointed setting, that is, in categories which need not have a zero object. Introduced in the context of abelian categories, with torsion and torsion-free abelian groups being a motivating example, torsion theories are by now …