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Statements

Subject Item
n2:RIV%2F00216208%3A11320%2F11%3A10105162%21RIV12-MSM-11320___
rdf:type
skos:Concept n17:Vysledek
rdfs:seeAlso
http://10.1007/s00233-010-9268-4
dcterms:description
The graph of an algebra is defined as a relational structure that consists of the graphs induced by all basic operation. The paper is concerend with the questione whether there exists a finite basis of quasi-identities for the quasivariety that is generated by graphs of a given class of algebras. It is proved that no such basis exists if the class consists of semigroups one of which is a nontrivial semigroup that possesses a neutral element. The same result is true for a nontrivial class of monoids or groups. The graph of an algebra is defined as a relational structure that consists of the graphs induced by all basic operation. The paper is concerend with the questione whether there exists a finite basis of quasi-identities for the quasivariety that is generated by graphs of a given class of algebras. It is proved that no such basis exists if the class consists of semigroups one of which is a nontrivial semigroup that possesses a neutral element. The same result is true for a nontrivial class of monoids or groups.
dcterms:title
Quasi-equational bases for graphs of semigroups,monoids and groups Quasi-equational bases for graphs of semigroups,monoids and groups
skos:prefLabel
Quasi-equational bases for graphs of semigroups,monoids and groups Quasi-equational bases for graphs of semigroups,monoids and groups
skos:notation
RIV/00216208:11320/11:10105162!RIV12-MSM-11320___
n17:predkladatel
n18:orjk%3A11320
n3:aktivita
n13:P
n3:aktivity
P(LC505)
n3:cisloPeriodika
82
n3:dodaniDat
n12:2012
n3:domaciTvurceVysledku
Stronkowski, Michal
n3:druhVysledku
n8:J
n3:duvernostUdaju
n6:S
n3:entitaPredkladatele
n15:predkladatel
n3:idSjednocenehoVysledku
225468
n3:idVysledku
RIV/00216208:11320/11:10105162
n3:jazykVysledku
n16:eng
n3:klicovaSlova
groups; monoids; semigroups; graphs; for; bases; Quasi-equational
n3:klicoveSlovo
n4:groups n4:graphs n4:semigroups n4:Quasi-equational n4:bases n4:for n4:monoids
n3:kodStatuVydavatele
DE - Spolková republika Německo
n3:kontrolniKodProRIV
[07DBB726485E]
n3:nazevZdroje
Semigroup Forum
n3:obor
n19:BA
n3:pocetDomacichTvurcuVysledku
1
n3:pocetTvurcuVysledku
1
n3:projekt
n14:LC505
n3:rokUplatneniVysledku
n12:2011
n3:svazekPeriodika
2011
n3:tvurceVysledku
Stronkowski, Michal
n3:wos
000288816300008
s:issn
0037-1912
s:numberOfPages
11
n9:organizacniJednotka
11320