TL;DR
This paper develops a cohomology theory for congruence schemes by introducing modules for sesquiads, proving the categories are belian, and establishing base change functors for ascent datum.
Contribution
It introduces modules for sesquiads and congruence schemes, and constructs a cohomology theory using category-theoretic properties.
Findings
Categories are belian
Base change functors establish ascent datum
Cohomology theory for congruence schemes
Abstract
Modules for sesquiads and congruence schemes are introduced. It is shown that the corresponding categories are belian and that base change functors establish an ascent datum which allows for a cohomology theory to be established.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Algebraic Geometry and Number Theory · Algebraic structures and combinatorial models