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- Title
Structure of a finite commutative inverse semigroup and a finite bundle for which the inverse monoid of local automorphisms is permutable.
- Authors
Derech, V.
- Abstract
For a semigroup S, the set of all isomorphisms between the subsemigroups of the semigroup S with respect to composition is an inverse monoid denoted by PA( S) and called the monoid of local automorphisms of the semigroup S. The semigroup S is called permutable if, for any couple of congruences ρ and σ on S, we have ρ ∘ σ = σ ∘ ρ. We describe the structures of a finite commutative inverse semigroup and a finite bundle whose monoids of local automorphisms are permutable.
- Subjects
INVERSE semigroups; ABELIAN semigroups; FINITE groups; GROUP theory; ISOMORPHISM (Mathematics); MONOIDS; GEOMETRIC congruences
- Publication
Ukrainian Mathematical Journal, 2012, Vol 63, Issue 9, p1390
- ISSN
0041-5995
- Publication type
Article
- DOI
10.1007/s11253-012-0586-4