cyclic rings that are isomorphic to k


An infinite cyclic ring ( with positive behavior k is isomorphicPlanetmathPlanetmathPlanetmath to kZ.


Note that k is an and that k is a generatorPlanetmathPlanetmathPlanetmathPlanetmathPlanetmath ( of its additive groupMathworldPlanetmath. Since k2=k(k), then k has behavior k. ∎

Title cyclic rings that are isomorphic to k
Canonical name CyclicRingsThatAreIsomorphicToKmathbbZ
Date of creation 2013-03-22 16:02:42
Last modified on 2013-03-22 16:02:42
Owner Wkbj79 (1863)
Last modified by Wkbj79 (1863)
Numerical id 10
Author Wkbj79 (1863)
Entry type Corollary
Classification msc 13A99
Classification msc 16U99
Related topic MathbbZ