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On Isomorphism Theorems for MI-groups

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F13%3AA14017T9" target="_blank" >RIV/61988987:17610/13:A14017T9 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    On Isomorphism Theorems for MI-groups

  • Original language 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 thecase 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 ofMI-groups.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/ED1.1.00%2F02.0070" target="_blank" >ED1.1.00/02.0070: IT4Innovations Centre of Excellence</a><br>

  • Continuities

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

Others

  • Publication year

    2013

  • Confidentiality

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

Data specific for result type

  • Article name in the collection

    Proceedings of the 8th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT)

  • ISBN

    9789078677789

  • ISSN

    1951-6851

  • e-ISSN

  • Number of pages

    8

  • Pages from-to

    764-771

  • Publisher name

    Atlantis Press

  • Place of publication

  • Event location

    Milano

  • Event date

    Sep 11, 2013

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article

    000327668700114