The hull-kernel topology on prime ideals in posets
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F17%3A73583213" target="_blank" >RIV/61989592:15310/17:73583213 - isvavai.cz</a>
Result on the web
<a href="https://link.springer.com/content/pdf/10.1007%2Fs00500-016-2105-2.pdf" target="_blank" >https://link.springer.com/content/pdf/10.1007%2Fs00500-016-2105-2.pdf</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00500-016-2105-2" target="_blank" >10.1007/s00500-016-2105-2</a>
Alternative languages
Result language
angličtina
Original language name
The hull-kernel topology on prime ideals in posets
Original language description
In this paper, we continue our study of prime ideals in posets that was started in Joshi and Mundlik (Cent Eur J Math 11(5):940–955, 2013) and, Erné and Joshi (Discrete Math 338:954–971, 2015). We study the hull-kernel topology on the set of all prime ideals P(Q) , minimal prime ideals Min (Q) and maximal ideals Max (Q) of a poset Q. Then topological properties like compactness, connectedness and separation axioms of P(Q) are studied. Further, we focus on the space of minimal prime ideals Min (Q) of a poset Q. Under the additional assumption that every maximal ideal is prime, the collection of all maximal ideals Max (Q) of a poset Q forms a subspace of P(Q). Finally, we prove a characterization of a space of maximal ideals of a poset to be a normal space.
Czech name
—
Czech description
—
Classification
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
Result continuities
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)
Others
Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Soft Computing: a fusion of foundations, methodologies and applications
ISSN
1432-7643
e-ISSN
—
Volume of the periodical
21
Issue of the periodical within the volume
7
Country of publishing house
DE - GERMANY
Number of pages
13
Pages from-to
1653-1665
UT code for WoS article
000398731700002
EID of the result in the Scopus database
2-s2.0-84960348542