Left-exact Mittag-Leffler functors of modules

TL;DR

This paper explores the properties and characterizations of left-exact Mittag-Leffler functors within the category of R-modules, providing new insights into their structure and behavior.

Contribution

It offers new characterizations of left-exact Mittag-Leffler functors of R-modules, advancing understanding of their categorical properties.

Findings

Multiple characterizations of left-exact Mittag-Leffler functors

Enhanced understanding of functor categories of R-modules

Theoretical insights into the structure of these functors

Abstract

Let $R$ be an associative ring with unit. This paper deals with various aspects of the category of functors of $\mathcal R$-modules; that is, the category of additive and covariant functors from the category of R-modules to the category of abelian groups. We give several characterizations of left-exact Mittag-Leffler functors of $\mathcal R$-modules.