Symmetric inverse semigroup

（重定向自Partial symmetry）

In abstract algebra, the set of all partial bijections on a set X (aka one-to-one partial transformations) forms an inverse semigroup, called the symmetric inverse semigroup (actually a monoid) on X. The conventional notation for the symmetric inverse semigroup on a set X is $\mathcal{I}_X$ or $\mathcal{IS}_X$ In general $\mathcal{I}_X$ is not commutative.

单词	Partial symmetry
释义	Partial symmetry 英语百科 Symmetric inverse semigroup （重定向自Partial symmetry） In abstract algebra, the set of all partial bijections on a set X (aka one-to-one partial transformations) forms an inverse semigroup, called the symmetric inverse semigroup (actually a monoid) on X. The conventional notation for the symmetric inverse semigroup on a set X is $\mathcal{I}_X$ or $\mathcal{IS}_X$ In general $\mathcal{I}_X$ is not commutative.
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