- Tytuł:
- Ideals in Ordered Γ-Semirings
- Autorzy:
- Rao, Marapureddy Murali Krishna
- Powiązania:
- https://bibliotekanauki.pl/articles/52482748.pdf
- Data publikacji:
- 2018-06-01
- Wydawca:
- Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
- Tematy:
-
ordered Γ-semiring
integral ordered Γ-semiring
mono ordered Γ-semiring
prime ideal
maximal ideal
filter
irreducible ideal
strongly irreducible ideal
regular ordered Γ-semiring
k-ideal
m − k ideal - Opis:
- In this paper, we introduce the notion of k-ideal, m−k ideal, prime ideal, maximal ideal, filter, irreducible ideal, strongly irreducible ideal in ordered Γ-semirings, study the properties of ideals in ordered Γ-semirings and the relations between them. We characterize m − k ideals using derivation of ordered Γ-semirings and prove that every ideal in a mono regular ordered Γ-semiring is a prime ideal and field ordered Γ-semiring is simple.
- Źródło:
-
Discussiones Mathematicae - General Algebra and Applications; 2018, 38, 1; 47-68
1509-9415 - Pojawia się w:
- Discussiones Mathematicae - General Algebra and Applications
- Dostawca treści:
- Biblioteka Nauki
Artykuł