Algebra Of Semimodules And Semicont... - Homological

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

Unlike traditional modules over a ring, are defined over semirings (like the Homological Algebra of Semimodules and Semicont...

Constructing resolutions using free semimodules or injective envelopes (like the "max-plus" analogues of vector spaces). algebra)

A key feature is the adaptation of and Tor functors. Since you cannot always "subtract" to find boundaries, homological algebra here often uses: algebra). Because semimodules lack additive inverses