Razlika između inačica stranice »Komutativna grupa«
(Nije prikazana jedna međuinačica istog suradnika) | |||
Redak 5: | Redak 5: | ||
|obrađivač=Nenad Antonić | |obrađivač=Nenad Antonić | ||
|faza_obrade=zaključaj naziv | |faza_obrade=zaključaj naziv | ||
− | |definicija=grupa s komutativnom operacijom | + | |definicija=[[grupa]] s [[komutativna operacija|komutativnom operacijom]] |
|skolska_definicija= | |skolska_definicija= | ||
|napomena= | |napomena= | ||
− | |vrsta_riječi= | + | |vrsta_riječi=imenica |
− | |rod= | + | |rod=ženski |
− | |broj= | + | |broj=jednina |
|simbol= | |simbol= | ||
|kontekst= | |kontekst= | ||
Redak 25: | Redak 25: | ||
|naziv=Abelian group | |naziv=Abelian group | ||
|klasifikacija=Algebra > Group Theory > Groups > | |klasifikacija=Algebra > Group Theory > Groups > | ||
− | |definicija=An Abelian group is a | + | |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 | |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. | |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}} | |see_also=Finite Group, Group Theory, Kronecker Decomposition Theorem, Partition Function P, Ring}} |
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