Quotient MI-groups

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F16%3AA1601B7D" target="_blank" >RIV/61988987:17610/16:A1601B7D - isvavai.cz</a>
Alternative codes found
RIV/61989100:27510/16:86094990
Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Quotient MI-groups
Original language description
A many identities group (MI-group, for short) is a special algebraic structure in which identity like elements (called pseudoidentities) are specified and collected into a monoidal substructure. In this way, many algebraic structures, such as monoids offuzzy intervals (numbers) or convex bodies possessing behavior very similar to that of a group structure, may be well described and investigated using a new approach, which seems to be superfluous for the classical structures. The concept of MI-groups was recently introduced by Holčapek and Štěpnička in the paper ?MI-algebras: A new framework for arithmetics of (extensional) fuzzy numbers? to demonstrate how a standard structure can be generalized in terms of MI-algebras. This paper is a continuation ofthe development of MI-group theory and is focused on the construction of quotient MI-groups and a specification of the conditions under which the isomorphism theorems for groups are fulfilled for MI-groups.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>S - Specificky vyzkum na vysokych skolach

Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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