Math 2.0

General algebraic systems Mal'cev conditions Concept

Gumm terms

Summary

Gumm terms are a finite chain of ternary terms of a variety. They combine a chain like Jónsson terms with a final step like a Mal'cev term. A variety has Gumm terms if and only if it is a congruence-modular variety. This form of the Mal'cev condition for modularity shows that congruence modularity mixes the two basic cases, congruence distributivity and congruence permutability.

Further reading

  1. Web https://en.wikipedia.org/wiki/Modular_lattice
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Changed2 November 2026

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