PSEUDOVARIETY JOINS INVOLVING ${\mathscr J}$ -TRIVIAL SEMIGROUPS

DOI10.1142/S0218196799000072zbMath1012.20054OpenAlexW2098311855MaRDI QIDQ4513292

Assis Azevedo, Marc Zeitoun, Jorge Almeida

Publication date: 7 November 2000

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

Full work available at URL: https://doi.org/10.1142/s0218196799000072

zbMATH Keywords

pseudovarieties of groupsjoins of pseudovarieties of semigroups

Mathematics Subject Classification ID

Varieties and pseudovarieties of semigroups (20M07) Semigroups in automata theory, linguistics, etc. (20M35) Quasivarieties (08C15)

Related Items

ON HYPERDECIDABLE PSEUDOVARIETIES OF SIMPLE SEMIGROUPS ⋮ INEVITABLE GRAPHS AND PROFINITE TOPOLOGIES: SOME SOLUTIONS TO ALGORITHMIC PROBLEMS IN MONOID AND AUTOMATA THEORY, STEMMING FROM GROUP THEORY ⋮ PROFINITE METHODS IN SEMIGROUP THEORY ⋮ Pointlike sets and separation: a personal perspective ⋮ Tameness of Some Locally Trivial Pseudovarieties ⋮ Pointlike sets for varieties determined by groups ⋮ On Using the Join Operation to Define Classes of Algebras ⋮ Every decidable pseudovariety of abelian groups is completely tame ⋮ The pseudovariety of all nilpotent groups is tame ⋮ Varieties ⋮ HYPERDECIDABLE PSEUDOVARIETIES AND THE CALCULATION OF SEMIDIRECT PRODUCTS ⋮ Tameness of pseudovariety joins involving R.

Cites Work

• The algebra of implicit operations
• The Birkhoff theorem for finite algebras
• Abelian pointlikes of a monoid
• Pointlike sets: the finest aperiodic cover of a finite semigroup
• The finite basis problem in the pseudovariety joins of aperiodic semigroups with groups
• Implicit operations on finite \({\mathcal J}\)-trivial semigroups and a conjecture of I. Simon
• INEVITABLE GRAPHS: A PROOF OF THE TYPE II CONJECTURE AND SOME RELATED DECISION PROCEDURES
• Undecidability of the identity problem for finite semigroups
• On the hyperdecidability of semidirect products of pseudovarieties
• On The Profinite Topology on a Free Group