You can even generalize linear algebra algorithms to closed semirings and have some really cool algorithms pop out, like finding the shortest path in graphs. Th

You can even generalize linear algebra algorithms to closed semirings and have some really cool algorithms pop out, like finding the shortest path in graphs. There's a great paper called "Fun with Semirings" that goes into more details; unfortunately looks like the PDF isn't easily available online any more, but I found some slides[1] that seem to cover the same ideas well enough. [1]: https://pdfs.semanticscholar.org/2e43/477e26a54b2d1a046c214055faee7ebc3544.pdf https://pdfs.semanticscholar.org/2e43/477e26a54b2d1a046c2140...