- Tytuł:
- Strong quasi k-ideals and the lattice decompositions of semirings with semilattice additive reduct
- Autorzy:
-
Bhuniya, Anjan
Jana, Kanchan - Powiązania:
- https://bibliotekanauki.pl/articles/729219.pdf
- Data publikacji:
- 2014
- Wydawca:
- Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
- Tematy:
-
quasi k-ideal
strong quasi k-ideal
strong quasi k-simple
t-k-simple
t-k-Archimedean - Opis:
- Here we introduce the notion of strong quasi k-ideals of a semiring in SL⁺ and characterize the semirings that are distributive lattices of t-k-simple(t-k-Archimedean) subsemirings by their strong quasi k-ideals. A quasi k-ideal Q is strong if it is an intersection of a left k-ideal and a right k-ideal. A semiring S in SL⁺ is a distributive lattice of t-k-simple semirings if and only if every strong quasi k-ideal is a completely semiprime k-ideal of S. Again S is a distributive lattice of t-k-Archimedean semirings if and only if √Q is a k-ideal, for every strong quasi k-ideal Q of S.
- Źródło:
-
Discussiones Mathematicae - General Algebra and Applications; 2014, 34, 1; 27-43
1509-9415 - Pojawia się w:
- Discussiones Mathematicae - General Algebra and Applications
- Dostawca treści:
- Biblioteka Nauki
Artykuł