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A topos-theoretic view of difference algebra

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arxiv 2001.09075 v1 pith:3CIJIL6C submitted 2020-01-24 math.AG math.CT

Ivan Tomasic This is my paper · ORCID
classification math.AGmath.CT
keywords differencealgebraalgebraictheorytoposviewcategoricalcohomology
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We view difference algebra as the study of algebraic objects in the topos of difference sets. The methods of topos theory and categorical logic enable us to develop difference homological algebra, identify a solid foundation for difference algebraic geometry, and cohomology theory of difference schemes.

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