- Tytuł:
- On lattice-ordered monoids
- Autorzy:
- Jasem, Milan
- Powiązania:
- https://bibliotekanauki.pl/articles/728966.pdf
- Data publikacji:
- 2003
- Wydawca:
- Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
- Tematy:
-
lattice-ordered monoid
normal lattice-ordered monoid
dually residuated lattice-ordered semigroup
direct decomposition
polar - Opis:
- In the paper lattice-ordered monoids and specially normal lattice-ordered monoids which are a generalization of dually residuated lattice-ordered semigroups are investigated. Normal lattice-ordered monoids are metricless normal lattice-ordered autometrized algebras. It is proved that in any lattice-ordered monoid A, a ∈ A and na ≥ 0 for some positive integer n imply a ≥ 0. A necessary and sufficient condition is found for a lattice-ordered monoid A, such that the set I of all invertible elements of A is a convex subset of A and A¯ ⊆ I, to be the direct product of the lattice-ordered group I and a lattice-ordered semigroup P with the least element 0.
- Źródło:
-
Discussiones Mathematicae - General Algebra and Applications; 2003, 23, 2; 101-114
1509-9415 - Pojawia się w:
- Discussiones Mathematicae - General Algebra and Applications
- Dostawca treści:
- Biblioteka Nauki
Artykuł