TL;DR
This paper demonstrates that the double dualization process into the generic algebra for an algebraic theory exhibits properties similar to Gelfand or Stone duality, revealing deep structural dualities.
Contribution
It establishes duality properties for double dualization into the generic algebra within algebraic theories, extending classical duality concepts.
Findings
Double dualization exhibits Gelfand duality properties.
Double dualization exhibits Stone duality properties.
Provides a new perspective on algebraic theories and their dualities.
Abstract
We prove that double dualization into the generic algebra for an algebraic theory has some Gelfand- or Stone- duality properties
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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Homotopy and Cohomology in Algebraic Topology