A ring isomorphism is a bijective ring homomorphism. Two rings are isomorphic when there is a ring isomorphism between them. Isomorphic rings have the same ring-theoretic structure, differing only in the names of their elements.
Ring Isomorphism
See also
First Ring Isomorphism Theorem, Isomorphism, Ring Automorphism, Ring HomomorphismExplore with Wolfram|Alpha
References
Dummit, D. S. and Foote, R. M. "Ring Homomorphisms and Quotient Rings." §7.3 in Abstract Algebra, 3rd ed. Hoboken, NJ: Wiley, pp. 239-250, 2004.Cite this as:
Weisstein, Eric W. "Ring Isomorphism." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/RingIsomorphism.html