Idempotents, Group Membership and their Applications.

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17310%2F18%3AA1901YWZ" target="_blank" >RIV/61988987:17310/18:A1901YWZ - isvavai.cz</a>

Nalezeny alternativní kódy

RIV/67985807:_____/18:00497269

Výsledek na webu

<a href="http://dx.doi.org/10.1515/ms-2017-0180" target="_blank" >http://dx.doi.org/10.1515/ms-2017-0180</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1515/ms-2017-0180" target="_blank" >10.1515/ms-2017-0180</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Idempotents, Group Membership and their Applications.

Popis výsledku v původním jazyce

S. Schwarz in his paper [SCHWARZ, S.: Zur Theorie der Halbgruppen, Sbornik prac Prirodovedeckej fakulty Slovenskej univerzity v Bratislave, Vol. VI, Bratislava, 1943, 64 pp.] proved the existence of maximal subgroups in periodic semigroups and a decade later he brought into play the maximal subsemigroups and thus he embodied the idempotents in the structural description of semigroups [SCHWARZ, S.: Contribution to the theory of torsion semigroups, Czechoslovak Math. J. 3 (1) (1953), 7{21]. Later in his papers he showed that a proper description of these structural elements can be used to (re) prove many useful and important results in algebra and number theory. The present paper gives a survey of selected results scattered throughout the literature where an semigroup approach based on tools like idempotent, maximal subgroup or maximal subsemigroup either led to a new insight into the substance of the known results or helped to discover new approach to solve problems. Special attention will be given to some disregarded historical connections between semigroup and ring theory.

Název v anglickém jazyce

Idempotents, Group Membership and their Applications.

Popis výsledku anglicky

S. Schwarz in his paper [SCHWARZ, S.: Zur Theorie der Halbgruppen, Sbornik prac Prirodovedeckej fakulty Slovenskej univerzity v Bratislave, Vol. VI, Bratislava, 1943, 64 pp.] proved the existence of maximal subgroups in periodic semigroups and a decade later he brought into play the maximal subsemigroups and thus he embodied the idempotents in the structural description of semigroups [SCHWARZ, S.: Contribution to the theory of torsion semigroups, Czechoslovak Math. J. 3 (1) (1953), 7{21]. Later in his papers he showed that a proper description of these structural elements can be used to (re) prove many useful and important results in algebra and number theory. The present paper gives a survey of selected results scattered throughout the literature where an semigroup approach based on tools like idempotent, maximal subgroup or maximal subsemigroup either led to a new insight into the substance of the known results or helped to discover new approach to solve problems. Special attention will be given to some disregarded historical connections between semigroup and ring theory.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10101 - Pure mathematics

Projekt

<a href="/cs/project/GA17-02804S" target="_blank" >GA17-02804S: Vlastnosti číselných posloupností a jejich aplikace</a><br>

Návaznosti

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

Rok uplatnění

2018

Kód důvěrnosti údajů

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

Název periodika

MATHEMATICA SLOVACA

ISSN

0139-9918

e-ISSN

1337-2211

Svazek periodika

68

Číslo periodika v rámci svazku

6

Stát vydavatele periodika

DE - Spolková republika Německo

Počet stran výsledku

82

Strana od-do

1231-1312

Kód UT WoS článku

000451461500001

EID výsledku v databázi Scopus

2-s2.0-85057714818