A CONSTRUCTION OF COMMUTATIVE NILPOTENT SEMIGROUPS

A CONSTRUCTION OF COMMUTATIVE NILPOTENT SEMIGROUPS
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DOI:
10.4134/bkms.2013.50.3.801
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发表时间:
2013-05
影响因子:
0.5
通讯作者:
Qiong Liu;Tongsuo Wu;Meng Ye
Qiong Liu;Tongsuo Wu;Meng Ye
中科院分区:
数学4区
文献类型:
--
作者:
Qiong Liu;Tongsuo Wu;Meng Ye

文献摘要

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本文构造了幂零半群S,使得对每一个有限正整数,S和S是中心有1/2个或无穷多个端点与之相邻的星星图的加细.在有限情形下,我们还给出了互不同构的幂零半群个数的计算公式。
In this paper, we construct nilpotent semigroups S such that , and is a refinement of the star graph with center together with finitely many or infinitely many end vertices adjacent to , for each finite positive integer . We also give counting formulae to calculate the number of the mutually non-isomorphic nilpotent semigroups when , 6 and in finite cases.