On semigroup constructions induced by commuting retractions on a set
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F21%3A73610439" target="_blank" >RIV/61989592:15310/21:73610439 - isvavai.cz</a>
Result on the web
<a href="https://link.springer.com/content/pdf/10.1007/s00012-021-00755-0.pdf" target="_blank" >https://link.springer.com/content/pdf/10.1007/s00012-021-00755-0.pdf</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00012-021-00755-0" target="_blank" >10.1007/s00012-021-00755-0</a>
Alternative languages
Result language
angličtina
Original language name
On semigroup constructions induced by commuting retractions on a set
Original language description
If G = (G;.) is a semigroup, I is arbitrary set and lambda, rho: I -> I are mappings satisfying the equalities lambda lambda = lambda, rho rho = rho and lambda rho = rho lambda then we define the semigroup (G(I), x) where (x x y)(i) := x(lambda i) center dot y(rho i). This construction gives rise to four covariant and two contravariant functors and constitute three adjoint situations. We apply this functors for finding representation theorems.
Czech name
—
Czech description
—
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
—
Continuities
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
ALGEBRA UNIVERSALIS
ISSN
0002-5240
e-ISSN
—
Volume of the periodical
82
Issue of the periodical within the volume
4
Country of publishing house
CH - SWITZERLAND
Number of pages
25
Pages from-to
"62-1"-"62-25"
UT code for WoS article
000714589500001
EID of the result in the Scopus database
2-s2.0-85118731862