Notes on the spatial part of a frame
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F24%3A10493594" target="_blank" >RIV/00216208:11320/24:10493594 - isvavai.cz</a>
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=D4j-t4CLFB" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=D4j-t4CLFB</a>
DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Notes on the spatial part of a frame
Original language description
A locale (frame) L has a largest spatial sublocale generated by the primes (spectrum points), the spatial part SpL. In this paper we discuss some of the properties of the embeddings SpL subset of L. First we analyze the behaviour of the spatial parts in the assembly: the points of L and of S(L)(op) (congruent to the congruence frame) are in a natural one -one correspondence while the topologies of SpL and Sp(S(L)(op)) differ. Then we concentrate on some special types of embeddings of SpL into L, namely in the questions when SpL is complemented, closed, or open. While in the first part L was general, here we need some restrictions (weak separation axioms) to obtain suitable formulas.
Czech name
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Czech description
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Classification
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
10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)
Result continuities
Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Categories and General Algebraic Structures with Applications
ISSN
2345-5853
e-ISSN
2345-5861
Volume of the periodical
20
Issue of the periodical within the volume
1
Country of publishing house
IR - IRAN, ISLAMIC REPUBLIC OF
Number of pages
25
Pages from-to
105-129
UT code for WoS article
001158004000007
EID of the result in the Scopus database
2-s2.0-85195036152