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− | [[grupa]] s [[komutativna operacija|komutativnom operacijom]] | + | {{HNM2 pojam |
+ | |naziv=komutativna grupa | ||
+ | |naziv2=komutativna-grupa | ||
+ | |Struna_ID=30704 | ||
+ | |obrađivač=Nenad Antonić | ||
+ | |faza_obrade=zaključaj naziv | ||
+ | |definicija=[[grupa]] s [[komutativna operacija|komutativnom operacijom]] | ||
+ | |skolska_definicija= | ||
+ | |napomena= | ||
+ | |vrsta_riječi=imenica | ||
+ | |rod=ženski | ||
+ | |broj=jednina | ||
+ | |simbol= | ||
+ | |kontekst= | ||
+ | |dopušteni=Abelova grupa | ||
+ | |skraćeni= | ||
+ | |en=commutative group; Abelian group | ||
+ | |nepreporučeni= | ||
+ | |podređeni= | ||
+ | |suprotnica= | ||
+ | |zastarjeli=}} | ||
− | + | {{WMW | |
− | + | |Struna_ID=30704 | |
− | An Abelian group is a group for which the elements commute (i.e., $AB=BA$ for all elements $A$ and $B$). Abelian groups therefore correspond to groups with symmetric multiplication tables. | + | |naziv=Abelian group |
− | + | |klasifikacija=Algebra > Group Theory > Groups > | |
− | + | |definicija=An Abelian group is a [[grupa|group]] for which the elements commute (i.e., $AB=BA$ for all elements $A$ and $B$). Abelian groups therefore correspond to groups with symmetric multiplication tables. | |
− | + | |cite= Weisstein, Eric W. "Abelian Group." From MathWorld--A Wolfram Web Resource. http://mathworld.wolfram.com/AbelianGroup.html | |
− | + | |napomena=All cyclic groups are Abelian, but an Abelian group is not necessarily cyclic. All subgroups of an Abelian group are normal. In an Abelian group, each element is in a conjugacy class by itself, and the character table involves powers of a single element known as a group generator. | |
− | + | |see_also=Finite Group, Group Theory, Kronecker Decomposition Theorem, Partition Function P, Ring}} | |
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Trenutačna izmjena od 18:32, 5. prosinca 2015.
Definicija: grupa s komutativnom operacijom
Dopušteni nazivi: Abelova grupa
Engleske istovrijednice: commutative group; Abelian group
Struna ID: 30704
Obrađivač: Nenad Antonić
Faza obrade: zaključaj naziv
Vrsta riječi: imenica Rod: ženski Broj: jednina
Cilj projekta "Hrvatsko nazivlje u matematici" je na jednom mjestu prikupiti i obraditi sve hrvatske nazive koji na izravan ili neizravan način imaju veze s matematikom. Ako želite na bilo koji način doprinijeti ostvarenju ciljeva ovog projekta, molim javite se voditelju projekta na adresu goran.igaly@math.hr
WMW naziv: Abelian group
WMW klasifikacija: Algebra > Group Theory > Groups >
WMW definicija: An Abelian group is a group for which the elements commute (i.e., \(AB=BA\) for all elements \(A\) and \(B\)). Abelian groups therefore correspond to groups with symmetric multiplication tables.
WMW napomena: All cyclic groups are Abelian, but an Abelian group is not necessarily cyclic. All subgroups of an Abelian group are normal. In an Abelian group, each element is in a conjugacy class by itself, and the character table involves powers of a single element known as a group generator.
WMW See also: Finite Group, Group Theory, Kronecker Decomposition Theorem, Partition Function P, Ring
Izvor: Weisstein, Eric W. "Abelian Group." From MathWorld--A Wolfram Web Resource. http://mathworld.wolfram.com/AbelianGroup.html
Struna ID: 30704