Reflexive functors of modules in Commutative Algebra
J. Navarro, C. Sancho, P. Sancho
TL;DR
This paper investigates reflexive functors of modules, exploring their properties and significance in algebraic geometry and duality theories, providing a comprehensive understanding of their structure.
Contribution
It characterizes and analyzes reflexive functors of modules, offering new insights into their properties and applications in algebraic geometry and duality theories.
Findings
Reflexive functors are characterized and classified.
Many properties of reflexive functors are established.
Applications in algebraic geometry and duality are discussed.
Abstract
Reflexive functors of modules naturally appear in Algebraic Geometry, mainly in the theory of linear representations of group schemes, and in "duality theories". In this paper we study and determine reflexive functors and we give many properties of reflexive functors.
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Taxonomy
TopicsRings, Modules, and Algebras · Algebraic structures and combinatorial models · Advanced Topics in Algebra