Idempotents, Group Membership and their Applications.
The result's identifiers
Result code in 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>
Alternative codes found
RIV/67985807:_____/18:00497269
Result on the web
<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>
Alternative languages
Result language
angličtina
Original language name
Idempotents, Group Membership and their Applications.
Original language description
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.
Czech name
—
Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
<a href="/en/project/GA17-02804S" target="_blank" >GA17-02804S: Properties of number sequences and their applications</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
MATHEMATICA SLOVACA
ISSN
0139-9918
e-ISSN
1337-2211
Volume of the periodical
68
Issue of the periodical within the volume
6
Country of publishing house
DE - GERMANY
Number of pages
82
Pages from-to
1231-1312
UT code for WoS article
000451461500001
EID of the result in the Scopus database
2-s2.0-85057714818