Homological Algebra Of Semimodules And Semicont... May 2026

The "Semicontinuity" aspect typically refers to the behavior of dimensions (like the rank of a semimodule) under deformations.

Constructing resolutions using free semimodules or injective envelopes (like the "max-plus" analogues of vector spaces). 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. The "Semicontinuity" aspect typically refers to the behavior