- Tytuł:
- On the connectivity of the annihilating-ideal graphs
- Autorzy:
-
Chelvam, T.
Selvakumar, K. - Powiązania:
- https://bibliotekanauki.pl/articles/728900.pdf
- Data publikacji:
- 2015
- Wydawca:
- Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
- Tematy:
-
annihilating-ideal graph
local ring
nilpotency
cut vertex - Opis:
- Let R be a commutative ring with identity and *(R) the set of non-zero ideals with non-zero annihilators. The annihilating-ideal graph of R is defined as the graph (R) with the vertex set *(R) and two distinct vertices I₁ and I₂ are adjacent if and only if I₁I₂ = (0). In this paper, we examine the presence of cut vertices and cut sets in the annihilating-ideal graph of a commutative Artinian ring and provide a partial classification of the rings in which they appear. Using this, we obtain the vertex connectivity of some annihilating-ideal graphs.
- Źródło:
-
Discussiones Mathematicae - General Algebra and Applications; 2015, 35, 2; 195-204
1509-9415 - Pojawia się w:
- Discussiones Mathematicae - General Algebra and Applications
- Dostawca treści:
- Biblioteka Nauki
Artykuł