Feb 23, 2011 ... Abstract: Let $R$ be a commutative ring and ${\Bbb{A}}(R)$ be the set of ideals with non-zero annihilators. The annihilating-ideal graph of $R$ ...
|
Aug 23, 2008 ... Abstract: In this paper we continue our study of annihilating-ideal graph of commutative rings, that was introduced in Part I (see [5]). Let $R$ be ...
|
||
Aug 23, 2008 ... In this paper and its sequel, we introduce and investigate the {\it annihilating- ideal graph} of $R$, denoted by ${\Bbb{AG}}(R)$. It is the ...
|
||
Oct 14, 2008 ... Abstract The focus of this talk lies on annihilating polynomials and the annihilating ideal of a single, given quadratic form rather than on ...
|
||
Keywords: Annihilating-ideal graph; Chromatic number; Clique number; ... The clique number and the chromatic number of the annihilating-ideal graphs; 3.
|
||
For a commutative ring R with identity, the annihilatingideal graph of R, denoted AG(R), is the graph whose vertices are the nonzero annihilating ideal of R with ...
|
|
|
Let R be a commutative ring with 1 and let I(R) be the set of all proper ideals of R. An ideal I in I(R) is called an annihilator ideal of R if, IJ = 0 for some nonzero ...
|
||
Title: THE ANNIHILATING-IDEAL GRAPH OF COMMUTATIVE RINGS II. Author(s ): M. BEHBOODI The research of the first author was in part supported by a ...
|
||
|
Annihilator (ring theory) - Wikipedia, the free encyclopedia
en.wikipedia.org/wiki/Annihilator_(ring_theory)
If S is a subset of a left R module M, then Ann(S) left ideal of R. The proof is straightforward: If a and b both annihilate S, then for each s in S, (a + b)s = as + bs = 0 ... |
||
Ways to use AnnFs : AnnFs(List) -- the annihilating ideal of f_1^{s_1}...f_r^{s_r}; AnnFs(RingElement) -- the annihilating ideal of f^s.
|
