Has anyone ever given a general definition of prime and irreducible elements in arbitrary magmas, that is to say, sets with a single binary operation with no restrictions? I know Walter Noll has given a definition for monoids in his website, specifically here: http://www.math.cmu.edu/~wn0g/monoids.pdf. Is there some webpage where there is such a definition?
2026-02-23 03:01:00.1771815660
Generalization of prime and irreducible elements to arbitary magmas
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