Congruence-simple multiplicatively idempotent semirings
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F23%3A10472060" target="_blank" >RIV/00216208:11320/23:10472060 - isvavai.cz</a>
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=XJ-rcqMXUI" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=XJ-rcqMXUI</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00012-023-00807-7" target="_blank" >10.1007/s00012-023-00807-7</a>
Alternative languages
Result language
angličtina
Original language name
Congruence-simple multiplicatively idempotent semirings
Original language description
Let S be a multiplicatively idempotent congruence-simple semiring. We show that |S| = 2 if S has a multiplicatively absorbing element. We also prove that if S is finite then either |S| = 2 or S expressionpproximexpressiontely equexpressionl to End(L) or S-op expressionpproximexpressiontely equexpressionl to End(L) where L is the 2-element semilattice. It seems to be an open question, whether S can be infinite at all.
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
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2023
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
1420-8911
Volume of the periodical
84
Issue of the periodical within the volume
2
Country of publishing house
CH - SWITZERLAND
Number of pages
14
Pages from-to
1-14
UT code for WoS article
000949709700001
EID of the result in the Scopus database
2-s2.0-85150490517