Translation

From Encyclopediaofmath

A mapping of an algebraic system onto itself that is either the identity mapping or can be expressed as the product of a finite number of principal translations (also called elementary translations). An equivalence relation on an algebraic system is a congruence (in algebra) if and only if it is closed with respect to all translations (or with respect to merely principal translations).

References[edit]

[1] P.M. Cohn, "Universal algebra", Reidel (1981) ISBN 90-277-1213-1 Zbl 0461.08001
[2] A.I. Mal'tsev, "Algebraic systems", Springer (1973) (Translated from Russian) Zbl 0266.08001
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☰ Source: https://encyclopediaofmath.org/wiki/Translation | License: CC BY-SA 3.0

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