Homological Algebra Of Semimodules And Semicont... -

algebra). Because semimodules lack additive inverses, they do not form an abelian category. This necessitates a shift from exact sequences to and kernel-like structures based on congruences. 2. Derived Functors in Non-Additive Settings

Frequently used to study the global sections of semimodule sheaves on tropical varieties. 3. Semicontinuity and Stability Homological Algebra of Semimodules and Semicont...

This framework provides the "linear algebra" for tropical varieties. Just as homological algebra helps classify manifolds, semimodule homology helps classify and understand the intersections of tropical hypersurfaces. algebra)