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Results tagged with semigroups-and-monoids
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user 3603
A semigroup is a set $S$ together with a binary operation that is associative. Examples of semigroups are the set of finite strings over a fixed alphabet (under concatenation) and the positive integers (under addition, maximum, or minimum). A monoid is a semigroup with a neutral element. Of course, any group is also a monoid/semigroup.
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Equivalence relations in suplattices
A suplattice automatically has all meets, and a suplattice where meets distribute over all joins is a locale. The category of partial (i.e. nonreflexive) equivalence relations and functional relations …
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