noun ·Rare ·Advanced level

Definitions

Noun

1. 1
   Any group, or algebraic object that can be regarded as a group, whose binary operation is called addition and denoted +; specifically:; Any (often, but not necessarily, abelian) group whose binary operation is called addition.
2. 2
   Any group, or algebraic object that can be regarded as a group, whose binary operation is called addition and denoted +; specifically:; Any of certain algebraic objects (ring, field or vector space, etc., whose definition includes a commutative operation called addition) regarded as a group under addition.
3. 3
   Any group, or algebraic object that can be regarded as a group, whose binary operation is called addition and denoted +; specifically:; Any group object (such as a group functor, group scheme, etc.), whose binary operation is called addition.

Synonyms

All synonyms

abelian group