The synthesis theorem for finite regular semigroups, and its generalization
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Publication:1110661
DOI10.1016/0022-4049(88)90040-0zbMath0657.20050OpenAlexW2016703565MaRDI QIDQ1110661
Publication date: 1988
Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0022-4049(88)90040-0
regular semigroupsfinite semigroupunions of groupsunambiguous semigroupExtensions of matrix semigroupsfinite iterative structure-matrix semigroupsynthesis theoremunambiguous expansion
General structure theory for semigroups (20M10) Semigroups of transformations, relations, partitions, etc. (20M20) Mappings of semigroups (20M15)
Related Items (9)
FURTHER RESULTS ON MONOIDS ACTING ON TREES ⋮ On calculating the Krohn-Rhodes decomposition of automata ⋮ Finite aperiodic semigroups with commuting idempotents and generalizations ⋮ IDEALS AND FINITENESS CONDITIONS FOR SUBSEMIGROUPS ⋮ Prime decomposition theorem for arbitrary semigroups: General holonomy decomposition and synthesis theorem ⋮ On Birget's regular embedding ⋮ Almost finite expansions of arbitrary semigroups ⋮ Iteration of expansions. Unambiguous semigroups ⋮ Arbitrary vs. regular semigroups
Cites Work
- Infinite iteration of matrix semigroups. II: Structure theorem for arbitrary semigroups up to aperiodic morphism
- Categories as algebra: An essential ingredient in the theory of monoids
- Almost finite expansions of arbitrary semigroups
- Iteration of expansions. Unambiguous semigroups
- Arbitrary vs. regular semigroups
- A short proof that \(\hat S^+_ A\) is finite if S is finite
- On the complexity of finite semigroups
- A reduction theorem for complexity of finite semigroups
- Prime decomposition theorem for arbitrary semigroups: General holonomy decomposition and synthesis theorem
- A generalization of the Rees theorem to a class of regular semigroups
- Stability and J-depth of expansions
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