Finitely generated algebraic structures with various divisibility conditions

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F12%3A10127151" target="_blank" >RIV/00216208:11320/12:10127151 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1515/FORM.2011.068" target="_blank" >http://dx.doi.org/10.1515/FORM.2011.068</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1515/FORM.2011.068" target="_blank" >10.1515/FORM.2011.068</a>

Result language
angličtina
Original language name
Finitely generated algebraic structures with various divisibility conditions
Original language description
Infinite fields are not finitely generated rings. A similar question is considered for further algebraic structures, mainly commutative semirings. In this case, purely algebraic methods fail and topological properties of integral lattice points turn outto be useful. We prove that a commutative setniring that is a group with respect to multiplication can be two-generated only if it belongs to the subclass of additively idempotent semirings; this class is equivalent to l-groups.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
—

Project
<a href="/en/project/GA201%2F09%2F0296" target="_blank" >GA201/09/0296: Nonassociativity and multilinearity</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2012
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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