Dualizable algebras with parallelogram terms

DOI10.1007/s00012-016-0410-3zbMath1375.08003arXiv1502.02192OpenAlexW401888782MaRDI QIDQ2520769

Keith A. Kearnes, Ágnes Szendrei

Publication date: 16 December 2016

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

Full work available at URL: https://arxiv.org/abs/1502.02192

zbMATH Keywords

natural dualityMal'tsev conditionedge termcube termnear unanimity termMal'tsev termdualizable algebraparallelogram term

Mathematics Subject Classification ID

Equational logic, Mal'tsev conditions (08B05) Structure theory of algebraic structures (08A05) Operations and polynomials in algebraic structures, primal algebras (08A40) Natural dualities for classes of algebras (08C20)

Related Items (27)

Naturally dualizable algebras omitting types 1 and 5 have a cube term ⋮ GROWTH RATES OF ALGEBRAS, I: POINTED CUBE TERMS ⋮ Independence of algebras with edge term ⋮ Critical relations of crowns in critical times of coronavirus depression ⋮ Finite affine algebras are fully dualizable ⋮ THE DISTRIBUTIVITY SPECTRUM OF BAKER’S VARIETY ⋮ Cube term blockers without finiteness ⋮ Submaximal clones over a three-element set up to minor-equivalence ⋮ On the number of finite algebraic structures ⋮ Existence of cube terms in finite algebras ⋮ Neutrabelian algebras ⋮ Varieties with few subalgebras of powers ⋮ General algebra and its applications 2013: problem session. ⋮ Natural dualities, nilpotence and projective planes ⋮ Mal'tsev conditions, lack of absorption, and solvability. ⋮ Algebras from congruences ⋮ Key (critical) relations preserved by a weak near-unanimity function ⋮ Constraint satisfaction problems over semilattice block Mal'tsev algebras ⋮ Taylor's modularity conjecture and related problems for idempotent varieties ⋮ Semigroup quasivarieties: Two lattices and a reopened problem ⋮ Random models of idempotent linear Maltsev conditions. I. Idemprimality ⋮ Dualizable algebras with parallelogram terms ⋮ Deciding absorption ⋮ Unnamed Item ⋮ Growth rates of algebras, II: Wiegold dichotomy ⋮ Between an n-ary and an n + 1-ary near-unanimity term ⋮ Characterizations of several Maltsev conditions.

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Naturally dualizable algebras omitting types 1 and 5 have a cube term
• An easy test for congruence modularity
• Varieties generated by para primal algebras
• Residually small varieties of K-algebras
• Residual bounds for varieties of modules
• Natural dualities for quasivarieties generated by a finite commutative ring.
• Narrowness implies uniformity
• Near unanimity: An obstacle to general duality theory
• Few subpowers, congruence distributivity and near-unanimity terms
• Dualizable algebras with parallelogram terms
• Closed systems of functions and predicates
• Kongruenzklassengeometrien
• Clones of finite groups.
• Varieties with few subalgebras of powers
• Natural duality via a finite set of relations
• The dualisability of a quasi-variety is independent of the generating algebra.

This page was built for publication: Dualizable algebras with parallelogram terms