Meaning of abelian | Babel Free

Definitions

1. Alternative letter-case form of abelian.
   alt-of, dated, not-comparable
2. Of an algebraic structure (usually a group or algebra), having a commutative defining operation.
   not-comparable
3. Of a binary function, commutative.
   not-comparable

Equivalents

Examples

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

“All irreducible Abelian equations of the tenth order belong to the cyclical group of order ten,[…].”

“In this chapter "group" means torsion free Abelian group. The "bible" of Abelian group theory is the two volume work of Fuchs [11].”

CEFR level