Homological Algebra Of Semimodules And Semicont... Instant

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

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. Homological Algebra of Semimodules and Semicont...

Unlike traditional modules over a ring, are defined over semirings (like the algebra)