ASH'S TYPE II THEOREM, PROFINITE TOPOLOGY AND MALCEV PRODUCTS: PART I
From MaRDI portal
Publication:4024640
DOI10.1142/S0218196791000298zbMath0791.20079OpenAlexW2167010548MaRDI QIDQ4024640
Karsten Henckell, Jean-Eric Pin, John L. Rhodes, Stuart W. Margolis
Publication date: 8 February 1993
Published in: International Journal of Algebra and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0218196791000298
finite semigroupsMalcev productssemigroup varietiesfree groupsprofinite topologyfree monoidsfinite monoidstype II conjecture
Varieties and pseudovarieties of semigroups (20M07) Algebraic theory of languages and automata (68Q70) Semigroups in automata theory, linguistics, etc. (20M35) Limits, profinite groups (20E18)
Related Items (max. 100)
ON HYPERDECIDABLE PSEUDOVARIETIES OF SIMPLE SEMIGROUPS ⋮ POLYNOMIAL CLOSURE AND TOPOLOGY ⋮ INEVITABLE GRAPHS AND PROFINITE TOPOLOGIES: SOME SOLUTIONS TO ALGORITHMIC PROBLEMS IN MONOID AND AUTOMATA THEORY, STEMMING FROM GROUP THEORY ⋮ CLOSED SUBGROUPS IN PRO-V TOPOLOGIES AND THE EXTENSION PROBLEM FOR INVERSE AUTOMATA ⋮ PROFINITE SEMIGROUPS, VARIETIES, EXPANSIONS AND THE STRUCTURE OF RELATIVELY FREE PROFINITE SEMIGROUPS ⋮ ON THE HYPERDECIDABILITY OF PSEUDOVARIETIES OF GROUPS ⋮ PROFINITE METHODS IN SEMIGROUP THEORY ⋮ COMBINATORIAL GROUP THEORY, INVERSE MONOIDS, AUTOMATA, AND GLOBAL SEMIGROUP THEORY ⋮ Reducibility of pointlike problems ⋮ SEMIDIRECT PRODUCTS OF ORDERED SEMIGROUPS ⋮ Pointlike sets and separation: a personal perspective ⋮ Polynomial closure of group languages and open sets of the Hall topology ⋮ About the power pseudovariety \(\mathbf{PCS}\) ⋮ Pointlike sets for varieties determined by groups ⋮ Polynomial closure of group languages and open sets of the Hall topology ⋮ Polynomial closure and unambiguous product ⋮ SOLVABLE MONOIDS WITH COMMUTING IDEMPOTENTS ⋮ Covers for regular semigroups and an application to complexity ⋮ Conjugacy separability of 1-acylindrical graphs of free groups. ⋮ NORMALLY ORDERED SEMIGROUPS ⋮ On an algorithm to decide whether a free group is a free factor of another ⋮ An upper bound for the power pseudovariety \(\mathbf{PCS}\). ⋮ On an assertion of J. Rhodes and the finite basis and finite vertex rank problems for pseudovarieties. ⋮ John Rhodes and the theory of finite semigroups. ⋮ Closures of regular languages for profinite topologies. ⋮ A note on the power semigroup of a completely simple semigroup. ⋮ Finite state automata: A geometric approach ⋮ An effective lower bound for group complexity of finite semigroups and automata ⋮ Tribute: The influence of Imre Simon's work in the theory of automata, languages and semigroups ⋮ Pointlike sets with respect to R and J. ⋮ A PROFINITE APPROACH TO STABLE PAIRS ⋮ Möbius functions and semigroup representation theory. II: Character formulas and multiplicities. ⋮ On a locality-like property of the pseudovariety J ⋮ New results on the conjecture of Rhodes and on the topological conjecture ⋮ The pro-nilpotent group topology on a free group ⋮ A NEW PROOF OF THE RHODES TYPE II CONJECTURE ⋮ ON SEMIGROUPS WHOSE IDEMPOTENT-GENERATED SUBSEMIGROUP IS APERIODIC ⋮ PROFINITE TOPOLOGIES IN FREE PRODUCTS OF GROUPS ⋮ Irreducibility of certain pseudovarieties1 ⋮ SC-hyperdecidability of \(\mathbf R\) ⋮ An application of a theorem of Ash to finite covers. ⋮ Varieties of finite supersolvable groups with the M.~Hall property. ⋮ Monoid kernels and profinite topologies on the free Abelian group ⋮ Krohn-Rhodes complexity pseudovarieties are not finitely based ⋮ A constructive version of the Ribes-Zalesskiĭ product theorem. ⋮ On the complexity of computing the profinite closure of a rational language ⋮ On the equation \({\mathbf V}*{\mathbf G}={\mathcal E}{\mathbf V}\) ⋮ Inverse automata and profinite topologies on a free group ⋮ Computing relative Abelian kernels of finite monoids. ⋮ The geometry of profinite graphs with applications to free groups and finite monoids ⋮ On Pointlike Sets and Joins of Pseudovarieties ⋮ Representations of relatively free profinite semigroups, irreducibility, and order primitivity ⋮ Relative Abelian kernels of some classes of transformation monoids ⋮ CATEGORIES AS ALGEBRA, II ⋮ COMPLEXITY PSEUDOVARIETIES ARE NOT LOCAL: TYPE II SUBSEMIGROUPS CAN FALL ARBITRARILY IN COMPLEXITY ⋮ ON ITERATED MAL'CEV PRODUCTS WITH A PSEUDOVARIETY OF GROUPS ⋮ Constructing divisions into power groups ⋮ Characterizing level one in group-based concatenation hierarchies ⋮ Block-Groups and Hall Relations ⋮ HYPERDECIDABLE PSEUDOVARIETIES AND THE CALCULATION OF SEMIDIRECT PRODUCTS ⋮ POINTLIKE SETS, HYPERDECIDABILITY AND THE IDENTITY PROBLEM FOR FINITE SEMIGROUPS ⋮ UNDECIDABILITY, AUTOMATA, AND PSEUDOVARITIES OF FINITE SEMIGROUPS ⋮ A conjecture on the concatenation product ⋮ Commutative images of rational languages and the Abelian kernel of a monoid
This page was built for publication: ASH'S TYPE II THEOREM, PROFINITE TOPOLOGY AND MALCEV PRODUCTS: PART I
