HOLONOMY EMBEDDING OF ARBITRARY STABLE SEMIGROUPS

DOI10.1142/S0218196702001206zbMath1063.20064MaRDI QIDQ3043637

Chrystopher L. Nehaniv, Gillian Z. Elston

Publication date: 6 August 2004

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

zbMATH Keywords

finite semigroupscompletely simple semigroupstransformation semigroupsSchützenberger groupssurjective homomorphismstorsion semigroupsRhodes expansionssemigroup embeddingsstable semigroupsGreen classesHenckell expansions

Mathematics Subject Classification ID

General structure theory for semigroups (20M10) Semigroups of transformations, relations, partitions, etc. (20M20) Mappings of semigroups (20M15)

Related Items (1)

IDEALS AND FINITENESS CONDITIONS FOR SUBSEMIGROUPS

Cites Work

• Almost finite expansions of arbitrary semigroups
• Prime decomposition theorem for arbitrary semigroups: General holonomy decomposition and synthesis theorem
• Subsemigroups and complexity via the presentation lemma
• Analogues of the bicyclic semigroup in simple semigroups without idempotents
• MONOIDS ACTING ON TREES: ELLIPTIC AND WREATH PRODUCTS AND THE HOLONOMY THEOREM FOR ARBITRARY MONOIDS WITH APPLICATIONS TO INFINITE GROUPS
• MONOIDS AND GROUPS ACTING ON TREES: CHARACTERIZATIONS, GLUING, AND APPLICATIONS OF THE DEPTH PRESERVING ACTIONS
• Cascade synthesis of finite-state machines

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