On the number of finite algebraic structures
From MaRDI portal
Publication:466908
DOI10.4171/JEMS/472zbMath1432.08001arXiv1103.2265MaRDI QIDQ466908
Ralph McKenzie, Erhard Aichinger, Peter Mayr
Publication date: 31 October 2014
Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1103.2265
Equational logic, Mal'tsev conditions (08B05) Operations and polynomials in algebraic structures, primal algebras (08A40)
Related Items (16)
A relational description of higher commutators in Mal'cev varieties ⋮ Finite bands are finitely related ⋮ Cube term blockers without finiteness ⋮ The lattice of clones of self-dual operations collapsed ⋮ Not all nilpotent monoids are finitely related ⋮ On finitely related semigroups. ⋮ Dickson's lemma, Higman's theorem and beyond: a survey of some basic results in order theory ⋮ Dualities for quasi-varieties of bands. ⋮ On the clones of nilpotent groups with a verbal subgroup of prime order ⋮ Higher commutator theory for congruence modular varieties ⋮ Taylor's modularity conjecture and related problems for idempotent varieties ⋮ Commutator relations and the clones of finite groups. ⋮ Finite degree: algebras in general and semigroups in particular ⋮ Finite degree clones are undecidable ⋮ Between an n-ary and an n + 1-ary near-unanimity term ⋮ Finitely generated equational classes
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Mal'cev algebras with supernilpotent centralizers
- Polynomial clones of Mal'cev algebras with small congruence lattices
- A finite set of functions with an EXPTIME-complete composition problem
- Problems and results in tame congruence theory. A survey of the '88 Budapest workshop
- Polynomial interpolation and the Chinese remainder theorem for algebraic systems
- Few subpowers, congruence distributivity and near-unanimity terms
- Dualizable algebras with parallelogram terms
- Clones of finite groups.
- Constantive Mal’cev clones on finite sets are finitely related
- POLYNOMIAL CLONES ON SQUAREFREE GROUPS
- Varieties with few subalgebras of powers
- The structure of finite algebras
- Well-quasi-orderings and sets of finite sequences
- CLONES CONTAINING MAL'TSEV OPERATIONS
- Finitely Related Algebras In Congruence Distributive Varieties Have Near Unanimity Terms
- Tractability and Learnability Arising from Algebras with Few Subpowers
- A Simple Algorithm for Mal'tsev Constraints
- Ordering by Divisibility in Abstract Algebras
This page was built for publication: On the number of finite algebraic structures