Adjoint and Frobenius Pairs of Functors, Equivalences, and the Picard Group for Corings
Mohssin Zarouali-Darkaoui
TL;DR
This paper explores the relationships between adjoint and Frobenius functor pairs, their role in equivalences, and the structure of the Picard group within the context of corings, advancing the theoretical understanding of these algebraic concepts.
Contribution
It introduces new insights into the interplay between functor pairs and the Picard group for corings, expanding the theoretical framework in this area.
Findings
Characterization of adjoint and Frobenius pairs for corings
Identification of conditions for equivalences of categories
Description of the Picard group structure for corings
Abstract
We study adjoint and Frobenius pairs of functors, equivalences, and the Picard group for corings.
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Taxonomy
TopicsAdvanced Algebra and Geometry · Homotopy and Cohomology in Algebraic Topology · Algebraic Geometry and Number Theory