algebra.ring.Semiring conflicts with Wikipedia Semiring definition in that it lacks a one element

[benhutchison]

The term Semiring is overloaded in Mathematics. . Cats uses an older terminology, where what Cats calls rig many people call Semiring.

NLab: "nowadays the primary definition of semiring used is the fourth [ie wikipedia] definition"

If there was ever a rebuild of Cats, I argue it should align with Wikipedia and nLab terminology. I also personally prefer this formulation which makes Semiring more powerful since it gives access to the one element.

[johnynek]

IMO given that there isn't a well known standard and only o a matter of years trends may have changed we shouldn't break binary compatibility to follow that new popularity.