Translation
From Encyclopedia of Mathematics
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, cf. Principal translation). 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
| [1] | P.M. Cohn, "Universal algebra" , Reidel (1981) |
| [2] | A.I. Mal'tsev, "Algebraic systems" , Springer (1973) (Translated from Russian) |
How to Cite This Entry:
Translation. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Translation&oldid=42703
Translation. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Translation&oldid=42703
This article was adapted from an original article by O.A. Ivanova (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article