Abelian vs Cyclic - What's the difference?

abelian | cyclic |

As adjectives the difference between abelian and cyclic

is that abelian is (mathematics|dated) (abelian) while cyclic is characterized by, or moving in cycles, or happening at regular intervals.

As a noun abelian

is (roman catholicism|historical) a member of a sect in fourth-century africa mentioned by st augustine, who states that they married but lived in continence after the manner, as they claimed, of abel.




  • (mathematics) Having a commutative defining operation.
  • References




    (en adjective)
  • Characterized by, or moving in cycles, or happening at regular intervals
  • The weather had a cyclic pattern of rain and sun.
  • (chemistry) Of a compound having chains of atoms arranged in a ring
  • Benzene and cyclohexane are both cyclic compounds.
  • (botany) Having parts arranged in a whorl
  • (mathematics, of a group) being generated by only one element
  • (geometry, of a polygon) able to be inscribed in a circle
  • Derived terms

    * cyclic chorus * cyclic poet