SOLVABLE MONOIDS WITH COMMUTING IDEMPOTENTS

DOI10.1142/S0218196705002414zbMath1083.20047OpenAlexW2039843463MaRDI QIDQ5316311

Manuel Delgado, Vítor H. Fernandes

Publication date: 12 September 2005

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

Full work available at URL: https://doi.org/10.1142/s0218196705002414

zbMATH Keywords

solvable groupsAbelian kernelsMaltsev productspseudo-varieties of aperiodic semigroupspseudo-varieties of groupssolvable finite semigroups

Mathematics Subject Classification ID

Varieties and pseudovarieties of semigroups (20M07) Generalizations of solvable and nilpotent groups (20F19) Algebraic theory of languages and automata (68Q70) Semigroups in automata theory, linguistics, etc. (20M35) Derived series, central series, and generalizations for groups (20F14)

Related Items (4)

On the relative solvability of certain inverse monoids. ⋮ Computing relative Abelian kernels of finite monoids. ⋮ Relative Abelian kernels of some classes of transformation monoids ⋮ ON ITERATED MAL'CEV PRODUCTS WITH A PSEUDOVARIETY OF GROUPS

Uses Software

• GAP

Cites Work

• Categories as algebra: An essential ingredient in the theory of monoids
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• ASH'S TYPE II THEOREM, PROFINITE TOPOLOGY AND MALCEV PRODUCTS: PART I
• On The Profinite Topology on a Free Group
• Irreducibility of certain pseudovarieties¹
• On the Decidability of Iterated Semidirect Products with Applications to Complexity
• ON SEMIGROUPS WHOSE IDEMPOTENT-GENERATED SUBSEMIGROUP IS APERIODIC
• ON THE HYPERDECIDABILITY OF PSEUDOVARIETIES OF GROUPS
• Extending partial automorphisms and the profinite topology on free groups
• The monoid of all injective order preserving partial transformations on a finite chain.
• On the equation \({\mathbf V}*{\mathbf G}={\mathcal E}{\mathbf V}\)

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