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Zero divisors and prime elements of bounded semirings
  • 时间:0
  • 分类:O153.1[理学—数学;理学—基础数学] TP391.41[自动化与计算机技术—计算机应用技术;自动化与计算机技术—计算机科学与技术]
  • 作者机构:Department of Mathematics, Shanghai Jiaotong University Shanghai 200240, China
  • 相关基金:Supported by the National Natural Science Foundation of China (11271250).Acknowledgements. The authors express their sincere thanks to the referees for the careful reading and suggestions which improved the exposition of the paper.
中文摘要:

在这份报纸,我们介绍象 U 那样的一些新定义 * L * 描述 poset P 的零除数的图 G=(P) ,并且把一个新、快的证明给主要结果在里面的状况[2, 4 ] 。由与最少的度删除一个典型顶点,我们为发现有限的图 G 的一个最大的派系提供一个算法。我们有关直径和尺寸学习 posets 的零除数的图的一些性质。我们也提供 posets 的成层的演讲。

英文摘要:

In this paper, we introduce some new definitions such as the U*L* condition to describe the zero-divisor graph G = F(P) of a poser P, and give a new and quick proof to a main result in [2, 4]. By deleting a typical vertex with least degree, we provide an algorithm for finding a maximum clique of a finite graph G. We study some properties of the zero-divisor graphs of posets concerning diameters and girths. We also provide stratified presentations of posets.

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