Category:Definitions/Units

This category contains definitions related to Units.
Related results can be found in Category:Units.

• Arithmetic and so on:
  • Numbers: An instance of the number $1$ (one).

• Abstract Algebra:
  • Unit of Ring

• Set Systems:
  • Unit of System of Sets.

• Set Theory:
  • Unit set: another word for singleton

• Algebras:
  • Unit of a unitary algebra

The concepts are related: it is apparent that the unit of an algebra of sets $\SS$ is the unity of $\SS$ considered as a ring $\struct {\SS, *, \cap}$.