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Statements

Subject Item
n2:RIV%2F61989592%3A15310%2F06%3A00002565%21RIV07-AV0-15310___
rdf:type
skos:Concept n17:Vysledek
dcterms:description
Studie problematiky oboru s fuzzi rovností v kontextu L-algeber joko odpověd na Demirciovu otevřenou otázku. In his note (this issue of this journal), Demirci shows that fields with fuzzy equalities have only trivial fuzzy equalities, concludes that Therefore, in case L-algebras contain field structure, all results in [14] are evident from their classical counterparts., and asks a question does there exist any L-algebra with an L-equality different from trivial L-equalities in case the ordinary part of the L-algebra includes two binary operations that define group, ring, module or vector space structure?. In our reply, we show the following. First, by presenting examples of group-based L-algebras with nontrivial L-equalities, we show that the answer to Demircis question is positive. Second, we clarify the meaning of Demircis result and show that it is in fact a natural generalization of the well-known classical result saying that ordinary fields do not have non-trivial congruences. Third, we argue that Demircis interpretation of his result is mistaken and that it is not true that all results in [14] are evid In his note (this issue of this journal), Demirci shows that fields with fuzzy equalities have only trivial fuzzy equalities, concludes that Therefore, in case L-algebras contain field structure, all results in [14] are evident from their classical counterparts., and asks a question does there exist any L-algebra with an L-equality different from trivial L-equalities in case the ordinary part of the L-algebra includes two binary operations that define group, ring, module or vector space structure?. In our reply, we show the following. First, by presenting examples of group-based L-algebras with nontrivial L-equalities, we show that the answer to Demircis question is positive. Second, we clarify the meaning of Demircis result and show that it is in fact a natural generalization of the well-known classical result saying that ordinary fields do not have non-trivial congruences. Third, we argue that Demircis interpretation of his result is mistaken and that it is not true that all results in [14] are evid
dcterms:title
An answer to Demirci's open question, a clarification of his result, and a correction of his interpretation of the result An answer to Demirci's open question, a clarification of his result, and a correction of his interpretation of the result Odpověď na Demirciovu otevřenou otázku, objasnění výsledku a korekce jeho interpretace výsledků
skos:prefLabel
Odpověď na Demirciovu otevřenou otázku, objasnění výsledku a korekce jeho interpretace výsledků An answer to Demirci's open question, a clarification of his result, and a correction of his interpretation of the result An answer to Demirci's open question, a clarification of his result, and a correction of his interpretation of the result
skos:notation
RIV/61989592:15310/06:00002565!RIV07-AV0-15310___
n3:strany
205-211
n3:aktivita
n13:Z n13:P
n3:aktivity
P(KJB1137301), Z(MSM6198959214)
n3:cisloPeriodika
2
n3:dodaniDat
n14:2007
n3:domaciTvurceVysledku
n15:1236784 n15:9623264
n3:druhVysledku
n16:J
n3:duvernostUdaju
n12:S
n3:entitaPredkladatele
n10:predkladatel
n3:idSjednocenehoVysledku
464762
n3:idVysledku
RIV/61989592:15310/06:00002565
n3:jazykVysledku
n7:eng
n3:klicovaSlova
fields; fuzzy equalities; L-algebras; Demirci's open question
n3:klicoveSlovo
n4:Demirci%27s%20open%20question n4:fuzzy%20equalities n4:fields n4:L-algebras
n3:kodStatuVydavatele
NL - Nizozemsko
n3:kontrolniKodProRIV
[B06ADA879312]
n3:nazevZdroje
Fuzzy Sets and Systems
n3:obor
n19:BD
n3:pocetDomacichTvurcuVysledku
2
n3:pocetTvurcuVysledku
2
n3:projekt
n18:KJB1137301
n3:rokUplatneniVysledku
n14:2006
n3:svazekPeriodika
157
n3:tvurceVysledku
Vychodil, Vilém Bělohlávek, Radim
n3:zamer
n11:MSM6198959214
s:issn
0165-0114
s:numberOfPages
7
n8:organizacniJednotka
15310