On projective intersection graph of ideals of commutative rings

Ramanathan V

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On projective intersection graph of ideals of commutative rings

机译：论换戒理想的投影交叉图

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Let R be a commutative ring with identity and I(R), the set of all nontrivial proper ideals of R. The intersection graph of ideals of R, denoted by I(R), is a simple undirected graph with vertex set as the set I(R), and, for any two distinct vertices I and J are adjacent if and only if I

机译：设R是一个具有恒等式和I（R）的交换环，R的所有非平凡真理想的集合。用I（R）表示的R的理想的交集图是一个简单的无向图，其顶点集为集合I（R），并且，对于任意两个不同的顶点，I和J是相邻的当且仅当I

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来源
《Journal of algebra and its applications》 |2021年第2期|共16页
作者
Ramanathan V;
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作者单位

Periyar Univ Dept Math Salem 636011 Tamil Nadu India;

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原文格式 PDF
正文语种 eng
中图分类代数、数论、组合理论;
关键词
Intersection graph; commutative rings; crosscap; embedding graphs;

机译：交叉图;换向环;Crosscap;嵌入图形;

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专利

1. The Classification of the Annihilating-Ideal Graphs of Commutative Rings [J] . G. Aalipour, S. Akbari, M. Behboodi, 代数集刊：英文版 . 2014,第002期
2. Ideal-based Zero-divisor Graphs of Non-commutative Rings [J] . LI Yun-hui, TANG Gao-hua 数学季刊：英文版 . 2011,第001期
3. ON THE QUOTIENT RING OF COMMUTATIVE RINGS WITH ACC⊥ON ANNIHILATOR IDEALS [J] . 张印火数学年刊：B辑英文版 . 1991,第002期
4. Artinian Local Rings Whose Annihilating-ideal Graphs Are Star Graphs [J] . Houyi Yu, Tongsuo Wu, Weiping Gu 代数集刊：英文版 . 2015,第001期
5. Ideal-Based k-Zero-Divisor Hypergraph of Commutative Rings [J] . K.Selvakumar, M.Subajini 代数集刊（英文版） . 2021,第004期
6. The M-intersection graph of ideals of a commutative ring [J] . F. Heydari Discrete mathematics, algorithms, and applications . 2018,第3期

机译：换向环理想的M-交叉图
7. On the Intersection Graph of Ideals of Commutative Rings [J] . Nikmehr M. J., Nikandish R. Utilitas mathematica . 2017,第期

机译：论换戒的理想的交叉点图
8. The intersection graph of finite commutative principal ideal rings [J] . Emad Abu Osba Acta Mathematica Nyíregyháziensis . 2016,第1期

机译：有限交换主理想环的相交图
9. Intersection of ideals with non-commutative subalgebras [C] . Viktor Levandovskyy, PViktor Levandovskyy International symposium on Symbolic and algebraic computation . 2006

机译：具有非交换子代数的理想的相交
10. Results on n-absorbing ideals of commutative rings. [D] . Becker, Alison Elaine. 2015

机译：关于交换环的n吸收理想的结果。
11. Ideals and their complements in commutative semirings [O] . Ivan Chajda, Helmut Länger -1

机译：交换半环中的理想及其补
12. Some Properties of the Intersection Graph for Finite Commutative Principal Ideal Rings [O] . Emad Abu Osba, Salah Al-Addasi, Omar Abughneim 2014

机译：有限换向主要理想环交叉图的一些性质
13. Rings of Quotients of Commutative Rings. [R] . Uzkov, A. I. 1948

机译：交换环的商数的戒指。

On projective intersection graph of ideals of commutative rings

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