Symmetric inverse semigroup
Summary
In abstract algebra, the set of all partial bijections on a set X ( 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 or . In general is not commutative.
Further reading
- Wikipedia, page 18442482, revision 1219830941, Symmetric inverse semigroup. adopted
About this page
| Tag | T49YXARXF6 |
|---|---|
| URI | m2://T49YXARXF6 |
| Aliases | partial-symmetries, partial-symmetry |
| Kind | concept |
| Writing | W1 stated |
| Same as | |
| Changed | 4 November 2026 |
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