Homomorphic images of subdirectly irreducible rings

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F19%3A00333088" target="_blank" >RIV/68407700:21230/19:00333088 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1080/00927872.2018.1530246" target="_blank" >https://doi.org/10.1080/00927872.2018.1530246</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1080/00927872.2018.1530246" target="_blank" >10.1080/00927872.2018.1530246</a>

Result language
angličtina
Original language name
Homomorphic images of subdirectly irreducible rings
Original language description
We prove that every ring is a proper homomorphic image of some subdirectly irreducible ring. We also show that a finite ring R does not need to be isomorphic to the factor of a subdirectly irreducible ring by its monolith as well as R does not need to be a homomorphic image of a finite subdirectly irreducible ring. We provide an analogous characterization also for varieties of rings with unity, for the quasiregular rings, for the rings with involution and for their subvarieties of commutative rings.
Czech name
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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
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OECD FORD branch
10101 - Pure mathematics

Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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