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Results tagged with semigroups-and-monoids
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user 117855
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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Terminology for a ring where every right cancellable element is cancellable
I don't think that there is a "standard terminology" for a ring $R$ whose left zero divisors are also right zero divisors. The "reversible rings" that P.M.Cohn considers here are rings satisfying the …
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