COMMUTATOR THEORY WITHOUT JOIN-DISTRIBUTIVITY

@article{Lipparini1994COMMUTATORTW,
  title={COMMUTATOR THEORY WITHOUT JOIN-DISTRIBUTIVITY},
  author={Paolo Lipparini},
  journal={Transactions of the American Mathematical Society},
  year={1994},
  volume={346},
  pages={177-202}
}
  • P. Lipparini
  • Published 1994
  • Mathematics
  • Transactions of the American Mathematical Society
We develop Commutator Theory for congruences of general alge- braic systems (henceforth called algebras) assuming only the existence of a ternary term d such that d(a, b, b)(a, a)a(a, a)d(b, b, a), whenever a is a congruence and aab . Our results apply in particular to congruence modular and n-permutable varieties, to most locally finite varieties, and to inverse semigroups. We obtain results concerning permutability of congruences, abelian and solv- able congruences, connections between… 
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