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The structure of L*-inverse semigroups 被引量:4
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作者 REN Xueming & SHUM Karping Department of Mathematics, Xi’an University of Architecture and Technology, Xi’an 710055, China Faculty of Science, The Chinese University of Hong Kong, Hong Kong, China 《Science China Mathematics》 SCIE 2006年第8期1065-1081,共17页
The concepts of L*-inverse semigroups and left wreath products of semigroups are introduced. It is shown that the L*-inverse semigroup can be described as the left wreath product of a type A semigroupΓand a left regu... The concepts of L*-inverse semigroups and left wreath products of semigroups are introduced. It is shown that the L*-inverse semigroup can be described as the left wreath product of a type A semigroupΓand a left regular band B together with a mapping which maps the semigroupΓinto the endomorphism semigroup End(B). This result generalizes the structure theorem of Yamada for the left inverse semigroups in the class of regular semigroups. We shall also provide a constructed example for the L*-inverse semigroups by using the left wreath products. 展开更多
关键词 L*-inverse semigroups type A semigroups left regular bands left wreath products.
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模糊有限自动机的乘积覆盖性 被引量:2
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作者 陈乾 涂道兴 莫智文 《模糊系统与数学》 CSCD 北大核心 2011年第2期21-28,共8页
推广模糊有限自动机的有限积,包括direct infinite乘积、cascade infinite乘积和wreath infinite乘积。进而讨论它们之间的关系,得到乘积覆盖性等代数性质。
关键词 模糊有限自动机 覆盖 DIRECT infinite乘积 CASCADE infinite乘积 wreath infinite乘积
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Computing the Full Non-Rigid Group of Trimethylborane and Cyclohaxane Using Wreath Product
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作者 Enoch Suleiman M. S. Audu 《American Journal of Computational Mathematics》 2020年第1期23-30,共8页
This paper computes the group and character table of Trimethylborane and Cyclohaxane. Results show that the groups are isomorphic to the wreath products C3wrC2 and C2wrC6 with orders 81 and 384 and with 17 and 28 conj... This paper computes the group and character table of Trimethylborane and Cyclohaxane. Results show that the groups are isomorphic to the wreath products C3wrC2 and C2wrC6 with orders 81 and 384 and with 17 and 28 conjugacy classes respectively, where Cn denotes a cyclic group of order n. 展开更多
关键词 NON-RIGID MOLECULE GROUP Trimethylborane Cyclohaxane wreath Product CHARACTER TABLE CONJUGACY Classes
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New Properties over a New Type of Wreath Products on Monoids
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作者 Suha Ahmed Wazzan 《Advances in Pure Mathematics》 2019年第8期629-636,共8页
In [1], a new consequence of the (restricted) wreath product for arbitrary monoids A and B with an underlying set . Let us denote it by . Actually, in the same reference, it has been also defined the generating and re... In [1], a new consequence of the (restricted) wreath product for arbitrary monoids A and B with an underlying set . Let us denote it by . Actually, in the same reference, it has been also defined the generating and relator sets for , and then proved some finite and infinite cases about it. In this paper, by considering the product, we show Green’s relations L and R as well as we present the conditions for this product to be left cancellative, orthodox and finally left (right) inverse(s). 展开更多
关键词 wreath Product Green’s RELATIONS LEFT Cancellative MONOIDS ORTHODOX MONOIDS LEFT (Right) Inverse
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On Some Embedment of Groups into Wreath Products
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作者 Enoch Suleiman Muhammed Salihu Audu 《Advances in Pure Mathematics》 2021年第2期109-120,共12页
In this paper, we showed how groups are embedded into wreath products, we gave a simpler proof of the theorem by Audu (1991) (see <a href="#ref1">[1]</a>), also proved that a group can be embedde... In this paper, we showed how groups are embedded into wreath products, we gave a simpler proof of the theorem by Audu (1991) (see <a href="#ref1">[1]</a>), also proved that a group can be embedded into the wreath product of a factor group by a normal subgroup and also proved that a factor group can be embedded inside a wreath product and the wreath product of a factor group by a factor group can be embedded into a group. We further showed that when the abstract group in the Universal Embedding Theorem is a <em>p</em>-group, cyclic and simple, the embedding becomes an isomorphism. Examples were given to justify the results. 展开更多
关键词 wreath Product Direct Product HOMOMORPHISM Embedding p-Group Cyclic Simple
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Generalized Cyclotomic Mappings: Switching Between Polynomial, Cyclotomic, and Wreath Product Form
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作者 Alexander Bors Qiang Wang 《Communications in Mathematical Research》 CSCD 2022年第2期246-318,共73页
This paper is concerned with so-called index d generalized cyclotomic mappings of a finite field F_(q), which are functions F_(q)→F_(q) that agree with a suitable monomial function x↦axr on each coset of the index d ... This paper is concerned with so-called index d generalized cyclotomic mappings of a finite field F_(q), which are functions F_(q)→F_(q) that agree with a suitable monomial function x↦axr on each coset of the index d subgroup of F_(q)^(*). We discuss two important rewriting procedures in the context of generalized cyclotomic mappings and present applications thereof that concern index d generalized cyclotomic permutations of F_(q) and pertain to cycle structures, the classification of (q−1)-cycles and involutions, as well as inversion. 展开更多
关键词 Finite fields CYCLOTOMY cyclotomic mappings permutation polynomials wreath product cycle structure INVOLUTION
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On Coleman automorphisms of wreath products of finite nilpotent groups by abelian groups 被引量:1
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作者 HAI JinKe LI ZhengXing 《Science China Mathematics》 SCIE 2011年第10期2253-2257,共5页
Let G = NwrA be a wreath product of a finite nilpotent group N by an abelian group A. It is shown that every Coleman automorphism of G is an inner automorphism. As an immediate consequence of this result,it is obtaine... Let G = NwrA be a wreath product of a finite nilpotent group N by an abelian group A. It is shown that every Coleman automorphism of G is an inner automorphism. As an immediate consequence of this result,it is obtained that the normalizer property holds for G. 展开更多
关键词 Coleman automorphisms wreath products the normalizer problem
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Wreath Hurwitz numbers,colored cut-and-join equations,and 2-Toda hierarchy 被引量:1
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作者 ZHANG HanXiong ZHOU Jian 《Science China Mathematics》 SCIE 2012年第8期1627-1646,共20页
Let G be arbitrary finite group,define H G· (t;p +,p) to be the generating function of G-wreath double Hurwitz numbers.We prove that H G· (t;p +,p) satisfies a differential equation called the colored cutand... Let G be arbitrary finite group,define H G· (t;p +,p) to be the generating function of G-wreath double Hurwitz numbers.We prove that H G· (t;p +,p) satisfies a differential equation called the colored cutand-join equation.Furthermore,H G·(t;p +,p) is a product of several copies of tau functions of the 2-Toda hierarchy,in independent variables.These generalize the corresponding results for ordinary Hurwitz numbers. 展开更多
关键词 Hurwitz number wreath product cut-and-join equation integrable hierarchy
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One Class of the Least Congruences on Completely Regular Semigroups
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作者 ZHANG Jiangang SHEN Ran 《Journal of Donghua University(English Edition)》 CAS 2021年第3期278-282,共5页
Congruence is a very important aspect in the study of the semigroup theory.In general,the Kernel-trace characterizations,Green's relations and subvarieties are main tools in the consideration of congruences on com... Congruence is a very important aspect in the study of the semigroup theory.In general,the Kernel-trace characterizations,Green's relations and subvarieties are main tools in the consideration of congruences on completely regular semigroups.In this paper,we give one class of congruences on completely regular semigroups with the representation of wreath product of translational hulls on completely simple semigroups.By this new way,the least Clifford semigroup congruences on completely regular semigroups are generalized. 展开更多
关键词 completely regular semigroup Clifford congruence translational hull wreath product ORTHOGROUP
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On the Structure of Some Groups Containing L2 (11) wrM12
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作者 Basmah H. Shafee 《Journal of Mathematics and System Science》 2013年第1期1-4,共4页
In this paper, we generate the wreath product L2 (1 1) wrM12 using only two permutations. Also, we show the structure of some groups containing the wreath product L2(1 1)wrM12. The structure of the groups founded ... In this paper, we generate the wreath product L2 (1 1) wrM12 using only two permutations. Also, we show the structure of some groups containing the wreath product L2(1 1)wrM12. The structure of the groups founded is determined in terms of wreath product (L2 (11)wrM12)wrCt. Some related cases are also included. Also, we will show that S132K+1 and A132K+l can be generated using the wreath product (L2 (1 1)wrM12) wr Ck and a transposition in S132K+1 and an element of order 3 in A132K+l. We will also show that S132K+1 and A132K+1 can be generated using the wreath product L2 (1 1) wrMl2 and an element of order k + 1. 展开更多
关键词 wreath product Mathieu group linear group.
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THE WREATH PRODUCT GROUP FOR NMR SPECTRA ANALYSES OF MOLECULA WITH S_4[S_2]SYMMETRY
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作者 Wei Liang ZHOU Xiao Chun HE Yong Ren HUANG East China Normal University,Shanghai,200062 《Chinese Chemical Letters》 SCIE CAS CSCD 1991年第4期325-328,共4页
This paper presents a character table of S_4 wr S_2 wreath product group.Using this character table,~1H or ^(13)C NMR spectra analysis of molecula with S_4[S_2]symmetry,especially simplification of the secular determi... This paper presents a character table of S_4 wr S_2 wreath product group.Using this character table,~1H or ^(13)C NMR spectra analysis of molecula with S_4[S_2]symmetry,especially simplification of the secular determinant equation will be easy to carry out. Molecules with S_4[S_2]symmetry,are exemplified by octaphenylcyclo- tetrasiloxane and 2,3,7,8,12,13,17,18-octaethyl-21H,23H-porphine chromium (Ⅲ)chloride. 展开更多
关键词 NMR UC this THE wreath PRODUCT GROUP FOR NMR SPECTRA ANALYSES OF MOLECULA WITH S4[S2]SYMMETRY 公寸
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GF(2)-modules for Sz (q) wrC_t
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作者 王秀琴 熊胜利 《Chinese Quarterly Journal of Mathematics》 CSCD 1997年第4期87-90, ,共4页
In this note the authors investigates the property of the GF(2)-modules for the wreath products Sz(q)wrCt,and establish some sufficient condition for a Sz(q)wrCt, GF(2)-module to be natural.
关键词 wreath product natural module chief factor irreducible module
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Distortion of Wreath Products in Thompson's Group F
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作者 Yan WU Xiaoman CHEN 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2014年第5期801-816,共16页
The authors use geometric techniques to prove that the restricted wreath product F■Z is a quasi-isometrically embedded subgroup of Thompson's group F.
关键词 Thompson's group F Restricted wreath products Quasi-isometricallyembedded
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弱Clifford拟正则半群的半直积和圈积 被引量:16
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作者 张玉芬 李师正 《数学学报(中文版)》 SCIE CSCD 北大核心 1995年第4期498-504,共7页
本文给出两个么半群S和T的半直积和圈积为弱Clifford拟正则么半群的充要条件和半直积的结构,同时还讨论了弱Clifford拟正则么半群的最小群同余与半直积的最小群同余之间的关系.
关键词 么半群 半直积 圈积 拟群 拟正则半群 半群
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格值有限自动机的乘积 被引量:10
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作者 刘军 莫智文 《高校应用数学学报(A辑)》 CSCD 北大核心 2009年第1期121-126,共6页
初步建立了格值有限自动机的乘积理论.引入了格值变换半群,研究了格值有限自动机在各种乘积情形下的转移函数性质,讨论了各种乘积之间的覆盖关系,为进一步研究量子自动机的乘积理论奠定基础.
关键词 格值有限自动机 直积 级联积 圈积
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两类模糊有限状态机积的交换性 被引量:8
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作者 谢正卫 翟莹 +2 位作者 黄飞丹 易忠 邓培民 《计算机研究与发展》 EI CSCD 北大核心 2014年第9期2130-2136,共7页
利用代数工具矩阵、半群等对两类模糊有限状态机的交换性作了进一步的研究.首先给出了模糊有限状态机是可交换的几个等价刻画,即模糊有限状态机交换与其状态转移矩阵关于模糊矩阵乘法交换等价,与其输入集上字符串关于同余关系构成的乘... 利用代数工具矩阵、半群等对两类模糊有限状态机的交换性作了进一步的研究.首先给出了模糊有限状态机是可交换的几个等价刻画,即模糊有限状态机交换与其状态转移矩阵关于模糊矩阵乘法交换等价,与其输入集上字符串关于同余关系构成的乘法半群交换等价,并讨论了模糊有限状态机的直积、级联积、圈积以及和的交换性.其次提出了Mealy-型模糊有限状态机是可交换的概念,同时在新的概念下详细地研究了Mealy-型模糊有限状态机的直积、级联积、圈积以及和、商的交换性.得到了两个(Mealy-型)模糊有限状态机的完全直积、和交换的充要条件;得到两个(Mealy-型)模糊有限状态机的圈积、级联积交换的一个充分条件;证明了商Mealy-型模糊有限状态机保持原Mealy-型模糊有限状态机的交换性.最后给出判别模糊有限状态机交换性的算法. 展开更多
关键词 (Mealy-型)模糊有限状态机 交换 直积 级联积 圈积
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关于半质环的几个交换性条件 被引量:7
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作者 朱捷 于宪君 《哈尔滨师范大学自然科学学报》 CAS 2003年第3期9-10,17,共3页
给出了半质环的几个交换性条件 ,推广了文献 [1 ]、[4]中的结果 .
关键词 结合环 半质环 非零因子 交换性 幂零元 无零因子环 同态不变性
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环锤式破碎机的动力学分析及电机功率的确定 被引量:8
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作者 银金光 文庆明 《煤矿机械》 北大核心 2007年第1期15-17,共3页
介绍了环锤式破碎机的基本结构和工作原理,通过动力学分析,导出了该机型电机功率的计算公式,并通过试验进行了论证,为该机型电机功率的确定提供了理论依据。
关键词 环锤式破碎机 动力学分析 电机功率
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"夸父"们的尴尬——解读毕淑敏的小说 被引量:4
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作者 陈鸿 《北京工业大学学报(社会科学版)》 2005年第1期74-77,共4页
毕淑敏的小说存在于《夸父逐日》这一文本间,即夸父(英雄)-追日(理想)-牺牲-邓林(希望)这一叙 事环,以及因此而产生的英雄-崇高-悲壮这一审美环。然而随着商品经济短期效应的冲击,以及20世纪90年 代以来知识分子精英集团的瓦解,集体理... 毕淑敏的小说存在于《夸父逐日》这一文本间,即夸父(英雄)-追日(理想)-牺牲-邓林(希望)这一叙 事环,以及因此而产生的英雄-崇高-悲壮这一审美环。然而随着商品经济短期效应的冲击,以及20世纪90年 代以来知识分子精英集团的瓦解,集体理想破裂,"日"的内容成为既定的假设,而追逐成了一种形式,"夸父逐 日"真的成了一则神话。 展开更多
关键词 毕淑敏 《夸父逐日》 叙事环 审美环 神话
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关于半质环的几个交换性条件 被引量:4
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作者 肇慧 杨新松 《哈尔滨理工大学学报》 CAS 2004年第5期90-91,共2页
给出了半质环的几个交换性条件,推广了已有的结果.
关键词 半质环 交换性 条件 推广
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