Construction of the smallest common coarser of two and three set partitions

Kód výsledku v IS VaVaI

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Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

Construction of the smallest common coarser of two and three set partitions

Popis výsledku v původním jazyce

This paper is inspired by a text of the book "Úvod do algebry" in Czech, "Introduction to Algebra" in English, of the authors Ladislav Kosmák and Radovan Potůček. They followed the great work of Profes-sor Otakar Boruvka in the field of the partition theory, groupoids and groups and gave them in the context to contemporary modern algebra. Academian Boruvka have deduced and proved many results concerning the partition theory in his publications, which were published during World War II and in the post-war years. In this paper we deal with a construction of the smallest common coarser of two set partitions associated with equivalence relations, we give a special relation used in the construction and an illustration of blocks of this coarser.

Název v anglickém jazyce

Construction of the smallest common coarser of two and three set partitions

Popis výsledku anglicky

This paper is inspired by a text of the book "Úvod do algebry" in Czech, "Introduction to Algebra" in English, of the authors Ladislav Kosmák and Radovan Potůček. They followed the great work of Profes-sor Otakar Boruvka in the field of the partition theory, groupoids and groups and gave them in the context to contemporary modern algebra. Academian Boruvka have deduced and proved many results concerning the partition theory in his publications, which were published during World War II and in the post-war years. In this paper we deal with a construction of the smallest common coarser of two set partitions associated with equivalence relations, we give a special relation used in the construction and an illustration of blocks of this coarser.

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BA - Obecná matematika

OECD FORD obor

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Projekt

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Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2014

Kód důvěrnosti údajů

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

Název periodika

Analele Stiintifice ale Universitatii "Ovidius" Constanta, Seria Matematica

ISSN

1224-1784

e-ISSN

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Svazek periodika

XXII

Číslo periodika v rámci svazku

1/2014

Stát vydavatele periodika

RO - Rumunsko

Počet stran výsledku

10

Strana od-do

237-246

Kód UT WoS článku

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EID výsledku v databázi Scopus

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