A note on the support of a hypermodule

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26220%2F20%3APU135858" target="_blank" >RIV/00216305:26220/20:PU135858 - isvavai.cz</a>
Result on the web
<a href="https://www.worldscientific.com/doi/10.1142/S021949882050019X" target="_blank" >https://www.worldscientific.com/doi/10.1142/S021949882050019X</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1142/S021949882050019X" target="_blank" >10.1142/S021949882050019X</a>

Result language
angličtina
Original language name
A note on the support of a hypermodule
Original language description
In this paper, we initiate the study of the notion of support of a hypermodule over a Krasner hyperring, providing several connections with the annihilator of such hypermodules. We concentrate on the similarities/difference between these concepts and the analogous ones from classical algebra (module theory). After defining and characterizing the support of a hypermodule (and in particular of a finitely generated hypermodule), by using the notion of length of a hypermodule, we determine the support of a quotient hypermodule containing only one maximal hyperideal.
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

Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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