Definition:Trivial

Disambiguation

This page lists articles associated with the same title.

If an internal link led you here, you may wish to change the link to point directly to the intended article.

Trivial may refer to:

• Set Theory
  • Trivial Partition
  • Trivial Quotient
  • Trivial Relation

• Abstract Algebra
  • Trivial Absolute Value
  • Trivial Character
  • Trivial Factorization
  • Trivial Group: a group with only one element.
  • Trivial Ring:
    • $(1): \quad$ A ring $R$ whose ring product is defined as $\forall x, y \in R: x \circ y = 0_R$.
    • $(2): \quad$ A ring with only one element (but also see Null Ring).

• Topology
  • Trivial Filter: a filter which includes $\varnothing$.
  • Trivial Topology: an indiscrete topology.
  • Trivial Topological Space: a topological space with only one element.

• Miscellaneous
  • Trivial Zeroes of the Riemann Zeta Function