Representation of Steinitz's lattice in lattices of substructures of relational structures
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Representation of Steinitz's lattice in lattices of substructures of relational structures
|
|
| Creator |
Bezushchak, O.
Oliynyk, B. Sushchansky, V. |
|
| Description |
General 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.
|
|
| Date |
2019-06-16T14:26:24Z
2019-06-16T14:26:24Z 2016 |
|
| Type |
Article
|
|
| Identifier |
Representation of Steinitz's lattice in lattices of substructures of relational structures / O. Bezushchak, B. Oliynyk, V. Sushchansky // Algebra and Discrete Mathematics. — 2016. — Vol. 21, № 2. — С. 184-201. — Бібліогр.: 19 назв. — англ.
1726-3255 2010 MSC:03G10, 08A02, 03G05. http://dspace.nbuv.gov.ua/handle/123456789/155237 |
|
| Language |
en
|
|
| Relation |
Algebra and Discrete Mathematics
|
|
| Publisher |
Інститут прикладної математики і механіки НАН України
|
|