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 ring

Proof

proof

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develop | en | sembr

Footnotes

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