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

• Published in: Algebra and Discrete Mathematics
• Date: 2016
• Main Authors: Bezushchak, O., Oliynyk, B., Sushchansky, V.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2016
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/155237
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: 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.

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...