Ring theory MOC

Zero ring

The zero ring is the unique rng structure on the trivial group , #m/def/ring and is thus also a ring.1 It is initial and terminal in , while it is only terminal in , since the codomain of a ring homomorphism from the zero ring must itself be the zero ring.2


#state/tidy | #lang/en | #SemBr

Footnotes

  1. 2009. Algebra: Chapter 0, §III.1.2, p. 121

  2. 2009. Algebra: Chapter 0, §III.2.1, p. 129