Closure with a twist

From Wikipedia, the free encyclopedia

Closure with a twist is a property of subsets of an algebraic structure. A subset Y of an algebraic structure X is said to exhibit closure with a twist if for every two elements

y_1, y_2 \in Y

there exists an automorphism φ of X and an element y_3 \in Y such that

y_1 \cdot y_2 = \phi(y_3)

where "\cdot" is notation for an operation on X preserved by φ.

Two examples of algebraic structures with the property of closure with a twist are the cwatset and the GC-set.

This algebra-related article is a stub. You can help Wikipedia by expanding it.
Retrieved from "http://en.wikipedia.org../../../c/l/o/Closure_with_a_twist.html"