نتایج جستجو برای: ideal of a ring
تعداد نتایج: 23289019 فیلتر نتایج به سال:
let $i$ denote an ideal of a noetherian ring $r$. the purpose of this article is to introduce the concepts of quintasymptotic sequences over $i$ and quintasymptotic cograde of $i$, and to show that they play a role analogous to quintessential sequences over $i$ and quintessential cograde of $i$. we show that, if $r$ is local, then the quintasymptotic cograde of $i$ is una...
The rings considered in this article are commutative with identity. For an ideal $I$ of a ring $R$, we denote the annihilator $R$ by $Ann(I)$. An is said to be exact annihilating if there exists non-zero $J$ such that $Ann(I) = J$ and $Ann(J) I$. set all ideals $\mathbb{EA}(R)$ $\mathbb{EA}(R)\backslash \{(0)\}$ $\mathbb{EA}(R)^{*}$. Let $\mathbb{EA}(R)^{*}\neq \emptyset$. With [Exact Annihilat...
let $r$ be a commutative ring with identity. a proper ideal $p$ of $r$ is a $(n-1,n)$-$phi_m$-prime ($(n-1,n)$-weakly prime) ideal if $a_1,ldots,a_nin r$, $a_1cdots a_nin pbackslash p^m$ ($a_1cdots a_nin pbackslash {0}$) implies $a_1cdots a_{i-1}a_{i+1}cdots a_nin p$, for some $iin{1,ldots,n}$; ($m,ngeq 2$). in this paper several results concerning $(n-1,n)$-$phi_m$-prime and $(n-1,n)$-...
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