About: An upper bound for the power pseudovariety PCS

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	It is a celebrated result in finite semigroup theory that the equality of pseudovarieties PG=BG holds, where PG is the pseudovariety of finite monoids generated by all power monoids of finite groups and BG is the pseudovariety of all block groups, that is, the pseudovariety of all finite monoids all of whose regular D-classes have the property that the corresponding principal factors are inverse semigroups. Moreover, it is well known that BG=JmG, where JmG is the pseudovariety of finite monoids generated by the Mal’cev product of the pseudovarieties J and G of all finite J-trivial monoids and of all finite groups, respectively. In this paper, a more general kind of finite semigroups is considered; namely, the so-called aggregates of block groups are introduced. It follows that the class AgBG of all aggregates of block groups forms a pseudovariety of finite semigroups. It is a celebrated result in finite semigroup theory that the equality of pseudovarieties PG=BG holds, where PG is the pseudovariety of finite monoids generated by all power monoids of finite groups and BG is the pseudovariety of all block groups, that is, the pseudovariety of all finite monoids all of whose regular D-classes have the property that the corresponding principal factors are inverse semigroups. Moreover, it is well known that BG=JmG, where JmG is the pseudovariety of finite monoids generated by the Mal’cev product of the pseudovarieties J and G of all finite J-trivial monoids and of all finite groups, respectively. In this paper, a more general kind of finite semigroups is considered; namely, the so-called aggregates of block groups are introduced. It follows that the class AgBG of all aggregates of block groups forms a pseudovariety of finite semigroups. (en)
Title	An upper bound for the power pseudovariety PCS An upper bound for the power pseudovariety PCS (en)
skos:prefLabel	An upper bound for the power pseudovariety PCS An upper bound for the power pseudovariety PCS (en)
skos:notation	RIV/00216224:14310/12:00062631!RIV13-MSM-14310___
http://linked.open...avai/riv/aktivita	S Z
http://linked.open...avai/riv/aktivity	S, Z(MSM0021622409)
http://linked.open...iv/cisloPeriodika	3-4
http://linked.open...vai/riv/dodaniDat	2013
http://linked.open...aciTvurceVysledku	Kaďourek, Jiří
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Masarykova univerzita / Přírodovědecká fakulta
http://linked.open...dnocenehoVysledku	122030
http://linked.open...ai/riv/idVysledku	RIV/00216224:14310/12:00062631
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Pseudovarieties of finite semigroups; Power semigroups of finite semigroups; Power pseudovarieties; Completely simple semigroups; Block groups; Aggregates of block groups; Mal’cev products of pseudovarieties of semigroups (en)
http://linked.open.../riv/klicoveSlovo	Aggregates of block groups Block groups Completely simple semigroups Mal’cev products of pseudovarieties of semigroups Power pseudovarieties Power semigroups of finite semigroups Pseudovarieties of finite semigroups
http://linked.open...odStatuVydavatele	AT - Rakouská republika
http://linked.open...ontrolniKodProRIV	[FD4013E711D5]
http://linked.open...i/riv/nazevZdroje	Monatshefte für Mathematik
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	1 (xsd:int)
http://linked.open...UplatneniVysledku	2012
http://linked.open...v/svazekPeriodika	166
http://linked.open...iv/tvurceVysledku	Kaďourek, Jiří
http://linked.open...ain/vavai/riv/wos	000304564700010
http://linked.open...n/vavai/riv/zamer	Matematické struktury a jejich fyzikální aplikace
issn	0026-9255
number of pages	30 (xsd:int)
http://bibframe.org/vocab/doi	10.1007/s00605-011-0285-5
http://localhost/t...ganizacniJednotka	14310

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