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

• Дата: 2016
• Автори: Bezushchak, Oksana, Oliynyk, Bogdana, Sushchansky, Vitaliy
• Формат: Стаття
• Мова: English
• Опубліковано: Lugansk National Taras Shevchenko University 2016
• Теми: relational structure; lattice; supernatural numbers; Boolean algebra; 03G10; 08A02; 03G05
• Онлайн доступ: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/250
• Назва журналу: Algebra and Discrete Mathematics

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 integ...