Left-normal subsemigroup

ANALOGY: This is an analogue in semigroup of a property encountered in group. Specifically, it is a subsemigroup property analogous to the subgroup property: normal subgroup
View other analogues of normal subgroup | View other analogues in semigroups of subgroup properties (OR, View as a tabulated list)

Definition

A subsemigroup $N$ of a semigroup $S$ is termed left-normal if for all $g\in S$, $gN\subseteq Ng$.

External links

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