Abelian

Tanımlar (İngilizce)

1. sıfat Of an algebraic structure (usually a group or algebra), having a commutative defining operation.

   “The interesting aspect here is that U₃ is irreducible, even though all irreps over the complexes are one-dimensional because ℤ₄ is abelian.”

2. sıfat Of a binary function, commutative.
3. sıfat Alternative letter-case form of abelian.

   “Ex. 2. Show by §§ 187, 188 that there can be no transitive Abelian group of prime degree other than the cyclic group, and that there is no irreducible Abelian equation of prime degree other than the cyclic equation.”

4. isim 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.

   “A difference of opinion existed as to the moral effects of matrimony among the early Christians; the Abelians, for instance, suffered no member of their sect to remain single, while the Novatians condemned marriage under every circumstance.”