Finite basis theorems for relatively congruence-distributive quasivarieties

  title={Finite basis theorems for relatively congruence-distributive quasivarieties},
  author={Don Pigozzi},
  journal={Transactions of the American Mathematical Society},
  • D. Pigozzi
  • Published 1988
  • Mathematics
  • Transactions of the American Mathematical Society
Q is any quasivariety. A congruence relation 0 on a mem- ber A of Q is a Q-congruence if A/0 G Q. The set CouqA. of all Q- congruences is closed under arbitrary intersection and hence forms a complete lattice Cong A. Q. is relatively congruence-distributive if ConjA is distribu- tive for every A e Q.. Relatively congruence-distributive quasivarieties occur naturally in the theory of abstract data types. Q is finitely generated if it is generated by a finite set of finite algebras. The following… Expand
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