Reflexive functors in Algebraic Geometry
Pedro Sancho
TL;DR
This paper introduces a broad class of reflexive functors of modules that are fundamental in Algebraic Geometry, providing a framework for further development in the field.
Contribution
It defines a wide, elementary family of reflexive functors of modules closed under tensor products and homomorphisms, facilitating algebraic geometry research.
Findings
Established a new class of reflexive functors suitable for algebraic geometry
Demonstrated closure properties under tensor products and homomorphisms
Provided foundational tools for further algebraic geometry studies
Abstract
Reflexive functors of modules naturally appear in Algebraic Geometry. In this paper we define a wide and elementary family of reflexive functors of modules, closed by tensor products and homomorphisms, in which Algebraic Geometry can be developed.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Commutative Algebra and Its Applications · Homotopy and Cohomology in Algebraic Topology