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Abelian vs Cyclic - What's the difference?

abelian | cyclic |

As adjectives the difference between abelian and cyclic

is that abelian is having a commutative defining operation while cyclic is characterized by, or moving in cycles, or happening at regular intervals.

As a noun Abelian

is 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.

abelian

English

Adjective

(-)
  • (mathematics) Having a commutative defining operation.
    • Related terms
    * abelian algebra * abelian group * abelian operation * abelian ring

    References

    cyclic

    English

    Adjective

    (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