- Tytuł:
- Nil-extensions of completely simple semirings
- Autorzy:
-
Maity, Sunil
Ghosh, Rituparna - Powiązania:
- https://bibliotekanauki.pl/articles/729071.pdf
- Data publikacji:
- 2013
- Wydawca:
- Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
- Tematy:
-
ideal extension
nil-extension
bi-ideal
completely Archimedean semirings
completely simple semiring - Opis:
- A semiring S is said to be a quasi completely regular semiring if for any a ∈ S there exists a positive integer n such that na is completely regular. The present paper is devoted to the study of completely Archimedean semirings. We show that a semiring S is a completely Archimedean semiring if and only if it is a nil-extension of a completely simple semiring. This result extends the crucial structure theorem of completely Archimedean semigroup.
- Źródło:
-
Discussiones Mathematicae - General Algebra and Applications; 2013, 33, 2; 201-209
1509-9415 - Pojawia się w:
- Discussiones Mathematicae - General Algebra and Applications
- Dostawca treści:
- Biblioteka Nauki
Artykuł