Mittag-Leffler functors of modules
C. Sancho, F. Sancho, P. Sancho
TL;DR
This paper characterizes module functors that preserve direct products, focusing on Mittag-Leffler modules and their relation to tensoring with direct products, advancing understanding of module behavior.
Contribution
It introduces new characterizations of functors of modules that preserve direct products, especially relating to Mittag-Leffler modules.
Findings
Characterization of module functors preserving direct products
New insights into Mittag-Leffler modules behavior
Connections between tensoring and module properties
Abstract
Finite modules, finitely presented modules and Mittag-Leffler modules are characterized by their behaviour by tensoring with direct products of modules. In this paper, we study and characterize the functors of modules that preserve direct products.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Commutative Algebra and Its Applications · Rings, Modules, and Algebras