Polymorphism clones of homogeneous structures: generating sets, Sierpiński rank, cofinality and the Bergman property

DOI10.1007/s00012-018-0527-7zbMath1402.08001OpenAlexW2804489202MaRDI QIDQ1652881

Maja Pech, Christian Pech

Publication date: 16 July 2018

Published in: Algebra Universalis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00012-018-0527-7

zbMATH Keywords

homogeneous structureBergman propertycofinalitypolymorphism cloneSierpiński rank

Mathematics Subject Classification ID

Structure theory of algebraic structures (08A05) Operations and polynomials in algebraic structures, primal algebras (08A40) Models with special properties (saturated, rigid, etc.) (03C50) Automorphisms and endomorphisms of algebraic structures (08A35) Model theory of denumerable and separable structures (03C15)

Cites Work

• Cardinality and cofinality of homomorphs of products of Boolean algebras
• On the Bergman property.
• Posets, homomorphisms and homogeneity
• Uncountable cofinalities of automorphism groups of linear and partial orders
• Cofinality of algebras
• Boolean algebras as unions of chains of subalgebras
• Fraïssé limits in comma categories
• Katětov functors
• A survey of homogeneous structures
• Homomorphism-homogeneous partially ordered sets
• Generating countable sets of surjective functions
• The uncountable cofinality of the automorphism group of the countable universal distributive lattice
• A characterization of retracts in certain Fraïssé limits
• The Bergman property for endomorphism monoids of some Fraïssé limits
• Homomorphism-Homogeneous Relational Structures
• Turbulence, amalgamation, and generic automorphisms of homogeneous structures
• A topological version of the Bergman property
• Subgroups of Infinite Symmetric Groups
• On relative ranks of full transformation semigroups
• UNCOUNTABLE COFINALITIES OF PERMUTATION GROUPS
• Sur les suites infinies de fonctions définies dans les ensembles quelconques
• Sierpiński’s Rank for Groups and Semigroups
• The Bergman property for semigroups
• GENERATING INFINITE SYMMETRIC GROUPS
• ON THE BERGMAN PROPERTY FOR THE AUTOMORPHISM GROUPS OF RELATIVELY FREE GROUPS
• Strongly Bounded Groups and Infinite Powers of Finite Groups
• Generating automorphism groups of chains
• Sur les fonctions de plusieurs variables
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Polymorphism clones of homogeneous structures: generating sets, Sierpiński rank, cofinality and the Bergman property