Congruence-simple matrix semirings

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F24%3A10489817" target="_blank" >RIV/00216208:11320/24:10489817 - isvavai.cz</a>
Alternative codes found
RIV/68407700:21230/24:00381386 RIV/00216208:11410/24:10489817
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=jCzymMY~jO" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=jCzymMY~jO</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1142/S0218196724500152" target="_blank" >10.1142/S0218196724500152</a>

Result language
angličtina
Original language name
Congruence-simple matrix semirings
Original language description
It is well known that the full matrix ring over a skew-field is a simple ring. We generalize this theorem to the case of semirings. We characterize the case when the matrix semiring Mn(S), of all n x n matrices over a semiring S, is congruence-simple, provided that either S has a multiplicatively absorbing element or S is commutative and additively cancellative.
Czech name
—
Czech description
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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

Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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