Ring theory MOC

Cayley's theorem for rings

Every ring is the subring of some endomorphism ring. Let be a ring, and be its action on itself by left multiplication. Then is a ring monomorphism.1 #m/thm/ring

Proof

#missing/proof


#state/develop | #lang/en | #SemBr

Footnotes

  1. 2009. Algebra: Chapter 0, §III.2.4, ¶2.7, p. 135