Abelian group

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  • noun

Synonyms for Abelian group

a group that satisfies the commutative law

References in periodicals archive ?
A characterization of divisible and torsion Abelian groups by their endomorphism semigroups.
For abelian groups, all 2-cocycles over DG are lazy and the results of [BLS15] gives a product decomposition of BrPic(Rep(G)).
As we will see, he can follow the same strategy in any abelian group.
Some significant information about an integer vector configuration is not retained in the multiplicity function, as many finite abelian groups can have the same cardinality.
A subgroup H of an abelian group G is pure in G if nH = H (1 nG, where n is any non-zero integer.
Rankin, On the number of abelian groups of a given order, Quart J.
Fuchs: Infinite Abelian Groups II, Mir, Moskva, 1977 (in Russian).
Key words and phrases: Whittaker-Kotel'nikov-Shannon theorem, Plancherel's formula, locally compact abelian groups, discrete subgroups, tranvsersals
Therefore abelian groups are completely characterized as subtractive groupoids.
FGB comes with a large library of groups including all abelian groups up to order 16 and all non-abelian groups up to order 40.
grabbed fourth place and $25,000 with his algebra project on how to partition so-called Abelian groups into subgroups.
Amitsur showed that all elementary abelian groups are rigid, and his original proof that universal division algebras can be noncrossed products relies on this fact.
Ab] the particular case when C is the category of monoids, so that Ab(C) is the category of abelian groups.
An excellent overview of the present situation in the theory of endomorphism rings of Abelian groups is given by Krylov et al.
the direct limit of locally compact abelian groups, is equipped with a continuous action of [GAMMA] = [[GAMMA].