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Statements

Subject Item
n2:RIV%2F00216224%3A14310%2F08%3A00024707%21RIV10-GA0-14310___
rdf:type
n12:Vysledek skos:Concept
dcterms:description
The pseudovariety DG of all finite monoids all of whose regular D-classes are subgroups is shown to be local, that is, it is verified that the pseudovariety gDG of finite categories generated by DG coincides with the pseudovariety lDG of all finite categories whose local monoids all belong to DG. Yet more general statements of this kind are deduced, yielding results such as that, for every prime number p, the pseudovariety DGp of all finite monoids all of whose regular D-classes are p-groups is local, or that the pseudovarieties DGsol and DGnil of all finite monoids all of whose regular D-classes are, respectively, solvable groups and nilpotent groups are local. The pseudovariety DG of all finite monoids all of whose regular D-classes are subgroups is shown to be local, that is, it is verified that the pseudovariety gDG of finite categories generated by DG coincides with the pseudovariety lDG of all finite categories whose local monoids all belong to DG. Yet more general statements of this kind are deduced, yielding results such as that, for every prime number p, the pseudovariety DGp of all finite monoids all of whose regular D-classes are p-groups is local, or that the pseudovarieties DGsol and DGnil of all finite monoids all of whose regular D-classes are, respectively, solvable groups and nilpotent groups are local.
dcterms:title
On the locality of the pseudovariety DG On the locality of the pseudovariety DG
skos:prefLabel
On the locality of the pseudovariety DG On the locality of the pseudovariety DG
skos:notation
RIV/00216224:14310/08:00024707!RIV10-GA0-14310___
n3:aktivita
n13:P
n3:aktivity
P(GA201/01/0323)
n3:cisloPeriodika
1,
n3:dodaniDat
n7:2010
n3:domaciTvurceVysledku
n5:8480680
n3:druhVysledku
n16:J
n3:duvernostUdaju
n9:S
n3:entitaPredkladatele
n11:predkladatel
n3:idSjednocenehoVysledku
384759
n3:idVysledku
RIV/00216224:14310/08:00024707
n3:jazykVysledku
n15:eng
n3:klicovaSlova
pseudovarieties of finite monoids and finite categories; locally finite varieties of monoids and categories; finitely generated relatively free monoids and categories; Mal'cev products of locally finite varieties of groups
n3:klicoveSlovo
n10:Mal%27cev%20products%20of%20locally%20finite%20varieties%20of%20groups n10:pseudovarieties%20of%20finite%20monoids%20and%20finite%20categories n10:finitely%20generated%20relatively%20free%20monoids%20and%20categories n10:locally%20finite%20varieties%20of%20monoids%20and%20categories
n3:kodStatuVydavatele
GB - Spojené království Velké Británie a Severního Irska
n3:kontrolniKodProRIV
[42F604698C4D]
n3:nazevZdroje
Journal of the Institute of Mathematics of Jussieu
n3:obor
n4:BA
n3:pocetDomacichTvurcuVysledku
1
n3:pocetTvurcuVysledku
1
n3:projekt
n18:GA201%2F01%2F0323
n3:rokUplatneniVysledku
n7:2008
n3:svazekPeriodika
7
n3:tvurceVysledku
Kaďourek, Jiří
n3:wos
000254380300004
s:issn
1474-7480
s:numberOfPages
88
n14:organizacniJednotka
14310