Homological Algebra Of Semimodules And Semicont... -
The "Semicontinuity" aspect typically refers to the behavior of dimensions (like the rank of a semimodule) under deformations.
A key feature is the adaptation of and Tor functors. Since you cannot always "subtract" to find boundaries, homological algebra here often uses: Homological Algebra of Semimodules and Semicont...
Constructing resolutions using free semimodules or injective envelopes (like the "max-plus" analogues of vector spaces). The "Semicontinuity" aspect typically refers to the behavior
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 Homological Algebra of Semimodules and Semicont...
