Ring theory MOC

Cayley's theorem for rings

Every ring is the subring of some endomorphism ring. Let 𝑅 be a ring, and Λ :𝑅 ↪Endℤ⁡𝑅 be its action on itself by left multiplication. Then Λ 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 ↩