About: On Isomorphism Theorems for MI-groups

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	The theory of MI-algebras (Many Identities- algebras) has been introduced by M. Holcapek and M. Štepnicka recently. These structures motivated by an algebraic formalizations of distinct arithmetics of fuzzy numbers, generalize the standard structures (monoids, groups, fields etc.) by employing a whole set of identity-like elements called pseudoidentitites. This leads to natural questions which properties of classical algebraic structures related to arithmetics of crisp numbers are preserved also in the case of MI-structures. This paper focuses on MI-groups, particularly on the properties of their homomorphisms. We show that three crucial theorems of isomorphism that are valid in the classical case, are under some conditions also valid in the theory of MI-groups. The theory of MI-algebras (Many Identities- algebras) has been introduced by M. Holcapek and M. Štepnicka recently. These structures motivated by an algebraic formalizations of distinct arithmetics of fuzzy numbers, generalize the standard structures (monoids, groups, fields etc.) by employing a whole set of identity-like elements called pseudoidentitites. This leads to natural questions which properties of classical algebraic structures related to arithmetics of crisp numbers are preserved also in the case of MI-structures. This paper focuses on MI-groups, particularly on the properties of their homomorphisms. We show that three crucial theorems of isomorphism that are valid in the classical case, are under some conditions also valid in the theory of MI-groups. (en)
Title	On Isomorphism Theorems for MI-groups On Isomorphism Theorems for MI-groups (en)
skos:prefLabel	On Isomorphism Theorems for MI-groups On Isomorphism Theorems for MI-groups (en)
skos:notation	RIV/61988987:17610/13:A14017T9!RIV14-MSM-17610___
http://linked.open...avai/riv/aktivita	P
http://linked.open...avai/riv/aktivity	P(ED1.1.00/02.0070)
http://linked.open...vai/riv/dodaniDat	2014
http://linked.open...aciTvurceVysledku	Štěpnička, Martin Holčapek, Michal WRUBLOVÁ, Michaela
http://linked.open.../riv/druhVysledku	D - Článek ve sborníku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Ostravská univerzita v Ostravě / Centrum excelence IT4Innovations, divize OU, Ústav pro výzkum a aplikace fuzzy modelování
http://linked.open...dnocenehoVysledku	93735
http://linked.open...ai/riv/idVysledku	RIV/61988987:17610/13:A14017T9
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	many identities groups; algebraic structures; fuzzy numbers; isomorphism theorems (en)
http://linked.open.../riv/klicoveSlovo	fuzzy numbers algebraic structures isomorphism theorems many identities groups
http://linked.open...ontrolniKodProRIV	[2E12AEFDC0DB]
http://linked.open...v/mistoKonaniAkce	Milano
http://linked.open...i/riv/nazevZdroje	Proceedings of the 8th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT)
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	3 (xsd:int)
http://linked.open...cetTvurcuVysledku	3 (xsd:int)
http://linked.open...vavai/riv/projekt	IT4Innovations Centre of Excellence
http://linked.open...UplatneniVysledku	2013
http://linked.open...iv/tvurceVysledku	Holčapek, Michal Štěpnička, Martin Wrublová, Michaela
http://linked.open...vavai/riv/typAkce	WRD - Světová
http://linked.open...ain/vavai/riv/wos	000327668700114
http://linked.open.../riv/zahajeniAkce	2013-09-11 (xsd:date)
issn	1951-6851
number of pages	8 (xsd:int)
http://purl.org/ne...btex#hasPublisher	Atlantis Press
https://schema.org/isbn	9789078677789
http://localhost/t...ganizacniJednotka	17610

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