منابع مشابه
The principal ideal subgraph of the annihilating-ideal graph of commutative rings
Let $R$ be a commutative ring with identity and $mathbb{A}(R)$ be the set of ideals of $R$ with non-zero annihilators. In this paper, we first introduce and investigate the principal ideal subgraph of the annihilating-ideal graph of $R$, denoted by $mathbb{AG}_P(R)$. It is a (undirected) graph with vertices $mathbb{A}_P(R)=mathbb{A}(R)cap mathbb{P}(R)setminus {(0)}$, where $mathbb{P}(R)$ is...
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Let R be a commutative integral domain with quotient field K and let P be a nonzero strongly prime ideal of R. We give several characterizations of such ideals. It is shown that (P : P) is a valuation domain with the unique maximal ideal P. We also study when P^{&minus1} is a ring. In fact, it is proved that P^{&minus1} = (P : P) if and only if P is not invertible. Furthermore, if P is invertib...
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arising of loss entitles the third party to the compensation. in this respect, more often than not, the entitlement of the third party finds its justification based on voluntary principles and sometimes based on involuntary ones. if the third party cannot find defense based on voluntary principles, he or she has to resort to involuntary ones. the possibility of multiple compensation methods cou...
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ژورنال
عنوان ژورنال: The Journal of Baha’i Studies
سال: 2014
ISSN: 0838-0430
DOI: 10.31581/jbs-24.3-4.9(2014)