abelian

Speech parts

1. abelian - Noun

2. abelian - Adjective

Meaning

Alt. of Abelonian

Source: Webster's dictionary

Synonyms

commutative abelite abelonian

Phrases with the word

abelian semigroup abelian category Abelian variety abelian complexity function topological abelian group pre-abelian category

Anagrams

nebalia

Examples

Additive groups of rings The additive group of a ring is an abelian group, but not all abelian groups are additive groups of rings (with nontrivial multiplication). Source: Internet

Although the definition assumes that the additive group is abelian, this can be inferred from the other ring axioms. Source: Internet

Additivity If C and D are preadditive categories and F : C ← D is an additive functor with a right adjoint G : C → D, then G is also an additive functor and the hom-set bijections : are, in fact, isomorphisms of abelian groups. Source: Internet

Analogously, one can show that the cokernel functors for abelian groups, vector spaces and modules are left adjoints. Source: Internet

Any group of prime order is isomorphic to a cyclic group and therefore abelian. Source: Internet

Any one-dimensional Lie algebra over a field is abelian, by the antisymmetry of the Lie bracket. Source: Internet

Close letter words and terms

Abeleda abelghe abelia abelian algebra abelian category abelian complexity function