Cover Image

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

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...

Full description

Saved in:

Bibliographic Details
Date:	2016
Main Authors:	Bezushchak, Oksana, Oliynyk, Bogdana, Sushchansky, Vitaliy
Format:	Article
Language:	English
Published:	Lugansk National Taras Shevchenko University 2016
Subjects:	relational structure lattice supernatural numbers Boolean algebra 03G10 08A02 03G05
Online Access:	https://admjournal.luguniv.edu.ua/index.php/adm/article/view/250
Tags:	Add Tag No Tags, Be the first to tag this record!
Journal Title:	Algebra and Discrete Mathematics

Institution

Algebra and Discrete Mathematics

Similar Items

Characterization of clones of boolean operations by identities
by: Butkote, Runglawan, et al.
Published: (2018)

The lattice of quasivarietes of modules over a Dedekind ring
by: Jedlička, Přemysl, et al.
Published: (2019)

A note to my paper “Multi-algebras from the viewpoint of algebraic logic”
by: Cırulis, Janis
Published: (2018)

On the lattice of cyclic codes over finite chain rings
by: Fotue-Tabue, Alexandre, et al.
Published: (2019)

On fully wild categories of representations of posets
by: Kasjan, Stanislaw
Published: (2018)

Lattices of classes of groupoids with one-sided quasigroup conditions
by: Galuszka, Jan
Published: (2018)

Cancellable elements of the lattice of semigroup varieties
by: Gusev, Sergey Valentinovich, et al.
Published: (2018)

Construction of free \(\mathfrak{g}\)-dimonoids
by: Movsisyan, Yuri, et al.
Published: (2018)

On filters and upper sets in CI-algebras
by: Piekart, Bozena, et al.
Published: (2018)

On lattices, modules and groups with many uniform elements
by: Krempa, Jan
Published: (2018)

Quasi-valuation maps based on positive implicative ideals in BCK-algebras
by: Jun, Young Bae, et al.
Published: (2018)

Radical theory in \(BCH\)-algebras
by: Dudek, Wieslaw A., et al.
Published: (2018)

On Stone sublattices of the lattice of totally local Fitting classes
by: Skiba, Alexander N., et al.
Published: (2018)

Lattices of partial sums
by: Chiaselotti, Giampiero, et al.
Published: (2018)

Modules with minimax Cousin cohomologies
by: Vahidi, A.
Published: (2020)

Groups which are isomorphic to their subgroups with non-modular subgroup lattice
by: De Falco, Maria, et al.
Published: (2018)

On inverse operations in the lattices of submodules
by: Kashu, A. I.
Published: (2018)

On bounded \(m\)-reducibilities
by: Belyaev, Vladimir N.
Published: (2018)

Multi-solid varieties and Mh-transducers
by: Shtrakov, Slavcho
Published: (2018)

Lattice rings: an interpretation of \(L\)-fuzzy rings as habitual algebraic structures
by: Kurdachenko, Leonid A., et al.
Published: (2018)

Lattices of topologies of algebraic systems
by: Arnautov, V. I., et al.
Published: (2018)

On dispersing representations of quivers and their connection with representations of bundles of semichains
by: Bondarenko, Vitalij M.
Published: (2018)

Arithmetic properties of exceptional lattice paths
by: Rump, Wolfgang
Published: (2018)

On recurrence in \(G\)-spaces
by: Protasov, Igor V., et al.
Published: (2017)

Groups whose lattices of normal subgroups are factorial
by: Rajhi, A.
Published: (2021)

Dimensions of finite type for representations of partially ordered sets
by: Drozd, Yuriy A., et al.
Published: (2018)

On the lattice of weak topologies on the bicyclic monoid with adjoined zero
by: Bardyla, S., et al.
Published: (2020)

On some relationships between snake graphs and Brauer configuration algebras
by: Espinosa, P. F. F., et al.
Published: (2022)

Green’s relations on the seminearring of full hypersubstitutions of type (\(n)\)
by: Changphas, Th., et al.
Published: (2018)

Weak equivalence of representations of Kleinian 4-group
by: Plakosh, Andriana
Published: (2018)

Perturbations of discrete lattices and almost periodic sets
by: Favorov, Sergey, et al.
Published: (2018)

Cohomologies of finite abelian groups
by: Drozd, Yuriy A., et al.
Published: (2017)

Automorphisms of the endomorphism semigroup of a free commutative \(g\)-dimonoid
by: Zhuchok, Yurii V.
Published: (2016)

Anti-tori in quaternionic lattices over \(\mathbb{F}_q(t)\)
by: Bondarenko, Ievgen, et al.
Published: (2024)

On \(0\)-semisimplicity of linear hulls of generators for semigroups generated by idempotents
by: Bondarenko, Vitaliy M., et al.
Published: (2018)

On the Cartesian product of the Menger algebras of terms and relational formulas
by: Kumduang, Thodsaporn
Published: (2025)

Representations of ordered doppelsemigroups by binary relations
by: Zhuchok, Yurii, et al.
Published: (2019)

Semi-lattice of varieties of quasigroups with linearity
by: Sokhatsky, F. M., et al.
Published: (2021)

On \(\tau\)-closed \(n\)-multiply \(\omega\)-composition formations with Boolean sublattices
by: Zhiznevsky, Pavel
Published: (2018)

On the Tate pairing associated to an isogeny between abelian varieties over pseudofinite field
by: Nesteruk, Volodymyr
Published: (2018)