On the Structure of Balanced Near Semirings

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F17%3A73585135" target="_blank" >RIV/61989592:15310/17:73585135 - isvavai.cz</a>
Result on the web
<a href="http://mat76.mat.uni-miskolc.hu/mnotes/article/2201" target="_blank" >http://mat76.mat.uni-miskolc.hu/mnotes/article/2201</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.18514/MMN.2017.2201" target="_blank" >10.18514/MMN.2017.2201</a>

Result language
angličtina
Original language name
On the Structure of Balanced Near Semirings
Original language description
The concept of a balanced near semiring was introduced by the authors in [5] in order to describe ring-like structures derived by means of lattices with involution, in particular with complementation. Now we show that every such balanced near semiring has an underlying structure which is a Boolean algebra. Based on this result, we describe ideals of these near semirings. A natural one-to-one correspondence between ideals and congruences is established.
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/GF15-34697L" target="_blank" >GF15-34697L: New perspectives on residuated posets</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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