Representation of Steinitz's lattice in lattices of substructures of relational structures

Simple item page
dc.contributor.authorBezushchak, Oksana
dc.contributor.authorOliynyk, Bogdana
dc.contributor.authorSushchansky, Vitaliy
dc.date.accessioned2017-06-14T14:00:18Z
dc.date.available2017-06-14T14:00:18Z
dc.date.issued2016
dc.description.abstractGeneral conditions under which certain relational structure contains a lattice of substructures isomorphic to Steinitz's lattice are formulated. Under some natural restrictions we consider relational structures with the lattice containing a sublattice isomorphic to the lattice of positive integers with respect to divisibility. We apply to this sublattice a construction that could be called “lattice completion”. This construction can be used for different types of relational structures, in particular for universal algebras, graphs, metric spaces etc. Some examples are considered.uk
dc.identifier.citationBezushchak Oksana. Representation of Steinitz's lattice in lattices of substructures of relational structures / Oksana Bezushchak, Bogdana Oliynyk, Vitaliy Sushchansky // Algebra and Discrete Mathematics. - 2016. - Vol 21, No 2. - P. 184-201.uk
dc.identifier.urihttps://ekmair.ukma.edu.ua/handle/123456789/11574
dc.identifier.urihttp://admjournal.luguniv.edu.ua/index.php/adm/article/view/250
dc.language.isoenuk
dc.relation.sourceAlgebra and Discrete Mathematicsen
dc.statuspublished earlieren
dc.subjectrelational structureen
dc.subjectlatticeen
dc.subjectsupernatural numbersen
dc.subjectBoolean algebraen
dc.titleRepresentation of Steinitz's lattice in lattices of substructures of relational structuresen
dc.typeArticleuk
Files
Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
Bezushchak_Representation_of_Steinitzs_lattice.pdf
Size:
316.17 KB
Format:
Adobe Portable Document Format
Description:
Download
License bundle
Now showing 1 - 1 of 1
No Thumbnail Available
Name:
license.txt
Size:
7.54 KB
Format:
Item-specific license agreed upon to submission
Description:
Download
Collections
Кафедра математики