Integration in semirings

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F22%3A73614848" target="_blank" >RIV/61989592:15310/22:73614848 - isvavai.cz</a>
Result on the web
<a href="https://obd.upol.cz/id_publ/333194735" target="_blank" >https://obd.upol.cz/id_publ/333194735</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1142/S1793557122502229" target="_blank" >10.1142/S1793557122502229</a>

Result language
angličtina
Original language name
Integration in semirings
Original language description
The concept of integral as an inverse of derivation was already introduced for rings and lattices. We generalize this concept also for semirings. We show properties of such integrals from the point of view of semiring operations. Examples of semirings with derivation where integrals are introduced are presented. We illuminate rather specific properties of such integrals and we show that the set of all integrals on a given semiring forms a semiring again.
Czech name
—
Czech description
—

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
<a href="/en/project/GF20-09869L" target="_blank" >GF20-09869L: The many facets of orthomodularity</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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