Temat: closure system - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Note on algebraic interior systems
Autorzy:: Chajda, Ivan
Powiązania:: https://bibliotekanauki.pl/articles/729087.pdf
Data publikacji:: 2005
Wydawca:: Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:: interior system
algebraic closure system
interior algebraic system
Opis:: We get an interrelation between an algebraic closure system and its conjugated interior system. We introduce the concept of algebraic interior system and we get its representation.
Źródło:: Discussiones Mathematicae - General Algebra and Applications; 2005, 25, 2; 149-153
1509-9415
Pojawia się w:: Discussiones Mathematicae - General Algebra and Applications
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Flocks in universal and Boolean algebras
Autorzy:: Ricci, Gabriele
Powiązania:: https://bibliotekanauki.pl/articles/729039.pdf
Data publikacji:: 2010
Wydawca:: Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:: combinators
elementary functions
closure system
interpolators
semi-affine lattice
Opis:: We propose the notion of flocks, which formerly were introduced only in based algebras, for any universal algebra. This generalization keeps the main properties we know from vector spaces, e.g. a closure system that extends the subalgebra one. It comes from the idempotent elementary functions, we call "interpolators", that in case of vector spaces merely are linear functions with normalized coefficients.
The main example, we consider outside vector spaces, concerns Boolean algebras, where flocks form "local" algebras with a sparseness similar to the one of vector spaces. We also outline the problem of generalizing the Segre transformations of based algebras, which used certain flocks, in order to approach a general transformation notion.
Źródło:: Discussiones Mathematicae - General Algebra and Applications; 2010, 30, 1; 45-69
1509-9415
Pojawia się w:: Discussiones Mathematicae - General Algebra and Applications
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 3.

Tytuł:: On interval decomposition lattices
Autorzy:: Foldes, Stephan
Radeleczki, Sándor
Powiązania:: https://bibliotekanauki.pl/articles/728916.pdf
Data publikacji:: 2004
Wydawca:: Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:: interval
closure system
modular decomposition
semimodular lattice
partition lattice
strong set
lexicographic sum
Opis:: Intervals in binary or n-ary relations or other discrete structures generalize the concept of interval in an ordered set. They are defined abstractly as closed sets of a closure system on a set V, satisfying certain axioms. Decompositions are partitions of V whose blocks are intervals, and they form an algebraic semimodular lattice. Lattice-theoretical properties of decompositions are explored, and connections with particular types of intervals are established.
Źródło:: Discussiones Mathematicae - General Algebra and Applications; 2004, 24, 1; 95-114
1509-9415
Pojawia się w:: Discussiones Mathematicae - General Algebra and Applications
Dostawca treści:: Biblioteka Nauki

Artykuł

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