Let be a ring, let be a subring, and let be an ideal of . Then is a subring of , is an ideal of and
Second Ring Isomorphism Theorem
See also
First Ring Isomorphism Theorem, Third Ring Isomorphism Theorem, Fourth Ring Isomorphism TheoremThis entry contributed by Nick Hutzler
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References
Dummit, D. S. and Foote, R. M. Abstract Algebra, 2nd ed. Englewood Cliffs, NJ: Prentice-Hall, 2003.Referenced on Wolfram|Alpha
Second Ring Isomorphism TheoremCite this as:
Hutzler, Nick. "Second Ring Isomorphism Theorem." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/SecondRingIsomorphismTheorem.html