A quasi-Mal’cev condition with unexpected application

@article{Wires2015AQC,
  title={A quasi-Mal’cev condition with unexpected application},
  author={A. Wires},
  journal={Algebra universalis},
  year={2015},
  volume={73},
  pages={335-346}
}
  • A. Wires
  • Published 2015
  • Mathematics
  • Algebra universalis
A quasi-Mal’cev condition for quasivarieties is established which in the case of locally finite quasivarieties forbids strongly abelian congruences and for varieties is equivalent to possessing a weak-difference term. We then look at two wellknown theorems concerning constraint satisfaction and the closure of finite digraphs under a Taylor operation. 
3 Citations
Dichotomy for finite tournaments of mixed-type
  • A. Wires
  • Mathematics, Computer Science
  • Discret. Math.
  • 2015
Algebra and the Complexity of Digraph CSPs: a Survey
  • B. Larose
  • Computer Science
  • The Constraint Satisfaction Problem
  • 2017

References

SHOWING 1-10 OF 25 REFERENCES
A strong Mal’cev condition for locally finite varieties omitting the unary type
A finite basis theorem for residually finite, congruence meet-semidistributive varieties
  • R. Willard
  • Mathematics, Computer Science
  • Journal of Symbolic Logic
  • 2000
Commutator theory for relatively modular quasivarieties
Absorbing Subalgebras, Cyclic Terms, and the Constraint Satisfaction Problem
The Relationship Between Two Commutators
Finite equational bases for finite algebras in a congruence-distributive equational class*
Finite basis theorems for relatively congruence-distributive quasivarieties
A New Proof of the $H$-Coloring Dichotomy
A discrete homotopy theory for binary reflexive structures
...
1
2
3
...