On generalized quotient MI-groups

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F17%3AA1801I3N" target="_blank" >RIV/61988987:17610/17:A1801I3N - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.1016/j.fss.2017.02.011" target="_blank" >http://dx.doi.org/10.1016/j.fss.2017.02.011</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.fss.2017.02.011" target="_blank" >10.1016/j.fss.2017.02.011</a>

Jazyk výsledku

angličtina

Název v původním jazyce

On generalized quotient MI-groups

Popis výsledku v původním jazyce

Many identities group (MI-group, for short) is an algebraic structure generalizing the group structure, where an involutive anti-automorphism satisfying certain properties is used instead of the standard group inversion. The concept of MI-group, in a more general form than in this article, has been introduced by Holčapek and Štěpnička in the paper 'MI-algebras: A new frame work for arithmetics of (extensional) fuzzy numbers' to describe properties of different approaches to arithmetics of vaguely specified quantities (e.g., stochastic or fuzzy quantities) in a unified way. This article is a continuation of the effort to develop the theory of MI-groups and is focused on a generalization of the construction of quotient MI-groups induced by so-called normal full MI-subgroups which has been introduced by Holčapek et al. recently in the paper 'Quotient MI-groups'. Besides a more general definition of quotient MI-groups, we prove three isomorphism theorems for MI-groups in this new framework.

Název v anglickém jazyce

On generalized quotient MI-groups

Popis výsledku anglicky

Many identities group (MI-group, for short) is an algebraic structure generalizing the group structure, where an involutive anti-automorphism satisfying certain properties is used instead of the standard group inversion. The concept of MI-group, in a more general form than in this article, has been introduced by Holčapek and Štěpnička in the paper 'MI-algebras: A new frame work for arithmetics of (extensional) fuzzy numbers' to describe properties of different approaches to arithmetics of vaguely specified quantities (e.g., stochastic or fuzzy quantities) in a unified way. This article is a continuation of the effort to develop the theory of MI-groups and is focused on a generalization of the construction of quotient MI-groups induced by so-called normal full MI-subgroups which has been introduced by Holčapek et al. recently in the paper 'Quotient MI-groups'. Besides a more general definition of quotient MI-groups, we prove three isomorphism theorems for MI-groups in this new framework.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10101 - Pure mathematics

Projekt

<a href="/cs/project/LQ1602" target="_blank" >LQ1602: IT4Innovations excellence in science</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2017

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

FUZZY SET SYST

ISSN

0165-0114

e-ISSN

—

Svazek periodika

326

Číslo periodika v rámci svazku

NOV 1 2017

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

21

Strana od-do

3-23

Kód UT WoS článku

000412264700002

EID výsledku v databázi Scopus

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