References
A. Day, A characterization of modularity for congruence lattices of algebras. Canad. Math. Bull.12, 167–173 (1969).
H. P. Gumm, Über die Lösungsmengen von Gleichungssystemen über allgemeinen Algebren. Math. Z.162, 51–62 (1978).
H. P. Gumm, An easy way to the commutator in modular varieties. Arch. Math.34, 220–228 (1980).
H. P. Gumm andCh. Herrmann, Algebras in modular varieties, Baer refinements, cancellation and isotopy. Preprint 1978. Houston J. Math.5, 503–523 (1979).
Ch. Herrmann, Affine algebras in congruence-modular varieties. Acta Sci. Math. (Szeged)41, 119–125 (1979).
J. Hagemann andCh. Herrmann, A concrete ideal multiplication for algebraic systems and its relation to congruence distributivity. Arch. Math.32, 234–245 (1979).
B. Jónssom, Algebras whose congruence lattices are distributive. Math. Scand.21, 110–121 (1967).
A. I. Mal'cev, On the general theory of algebraic systems (Russian). Mat. Sb.35, 3–20 (1954).
W.Taylor, Some applications of the term condition. Preprint 1980.
Author information
Authors and Affiliations
Additional information
Research supported in part by NSERC operating grant A-8190.
Rights and permissions
About this article
Cite this article
Gumm, H.P. Congruence modularity is permutability composed with distributivity. Arch. Math 36, 569–576 (1981). https://doi.org/10.1007/BF01223741
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01223741