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Non-commutative rings and algebras, non-associative algebras, universal algebra and lattice theory, linear algebra, semigroups. For questions specific to commutative algebra (that is, rings that are assumed both associative and commutative), rather use the tag ac.commutative-algebra.

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Is there a general notion of semigroup action?

Thanks to Andrej Bauer to drawing my attention to this question. This is definitely related to restriction categories and I do recommend the articles by Steve Lack and myself ("Restriction categories …
Robin Cockett's user avatar