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| 1 | The structure of superabundant semigroups显示文摘A structure theorem for superabundant semigroups in terms of semilattices of normalized Rees matrix semigroups over some cancellative monoids is obtained. This result not only provides a construction method for superabundant semigroups but also generalizes the well-known result of Petrich on completely regular semigroups. Some results obtained by Fountain on abundant semigroups are also extended and strengthened. | K.P.Shum | 2004 | Science China Mathematics2004，47，5： | 12 |
| 2 | 超模的同构定理显示文摘本文利用模论导出超模的三个同构定理,同时,给出超模的Jordan-Holder定理,最后,探讨了超模的基本关系∈^*,并研究其性质. | 詹建明 Bijan DAVVAZ K.P.SHUM | 2007 | 数学学报(中文版)2007，50，4： | 3 |
| 3 | On p-nilpotency and minimal subgroups of finite groups显示文摘We call a subgroup H of a finite group G c-supplemented in G if there exists a subgroup K ofG such that G = HK and H ∩K ≤ core(H). In this paper it is proved that a finite group G is p-nilpotentif G is S4-free and every minimal subgroup of P ∩ GN is c-supplemented in NG(P), and when p = 2 P isquaternion-free, where p is the smallest prime number dividing the order of G, P a Sylow p-subgroup of G.As some applications of this result, some known results are generalized. | 郭秀云 K.P.Shum | 2003 | Science China Mathematics2003，46，2： | 2 |
| 4 | Novel applications of bipolar single-valued neutrosophic competition graphs显示文摘Bipolar single-valued neutrosophic models are the generalization of bipolar fuzzy models. We first introduce the concept of bipolar single-valued neutrosophic competition graphs. We then, discuss some important propositions related to bipolar single-valued neutrosophic competition graphs. We define bipolar single-valued neutrosophic economic competition graphs and m-step bipolar single-valued neutrosophic economic competition graphs. Further, we describe applications of bipolar single-valued neutrosophic competition graphs in organizational designations and brands competition. Finally, we present our improved methods by algorithms. | Muhammad Akram Maryam Nasir K.P.Shum | 2018 | Applied Mathematics(A Journal of Chinese Universities)2018，33，4： | 2 |
| 5 | 关于模糊群的上确界性质的几个结果及其应用(英文)显示文摘研究了模糊子群的上确界性质并给出了模糊子群具有上确界性质的充要条件 ,利用它研究了循环群模糊子群的结构。最后 ,本文研究了一种比上确界性质弱一些的条件 ,在该条件下模糊群可以具有好的性质。 | 陈德刚 K.P.Shum 吴从炘 | 2000 | 模糊系统与数学2000，14，2： | 1 |
| 6 | Interval-valued (α,β)-fuzzy k-algebras显示文摘 | M.AKRAM K.H.DAR K.P.SHUM | | 0，，： | 1 |
| 7 | Correction of CT Burst Array Errors in the Generalized-Lee-RT Spaces显示文摘在里面[耆那教徒, S. :在 generalized-Lee-RT-pseudo-metric 的数组代码(GLRTP公制),出现在代数学 Colloq ],耆那教徒在空格地席 m 脳 s ( Z q )上介绍了一个新伪度量标准,有从有限戒指 Z q 的条目的所有 m 脳 s 矩阵的模块空格,概括了古典李度量标准[李,C.Y.:改正代码的非二进制的错误的一些性质。IEEE Trans。通知。理论, IT-4, 77 鈥 ? 2 (1958 )] 并且数组 RT 公制[Rosenbloom, M.Y. , Tsfasman, M.A. :代码为 m 公制。Prob。Inf。Transm, 33, 45 鈥 ? 2 (1997 )] 并且作为 Generalized-Lee-RT-Pseudo-Metric 说出这个伪度量标准(或 GLRTP 公制) 。在这份报纸,我们为改正 CT 爆炸数组错误的二维的数组代码获得一些更低的界限[耆那教徒, S. :CT 爆炸鈥 ? 从对数组编码古典。分离数学, 308 鈥 ? 09, 1489 鈥 ? 499 (2008 )] 与重量限制在下面 GLRTP 公制。关键词线性数组代码 - 李度量标准 - RT 度量标准 - CT 爆炸数组错误先生(2000 ) 题目分类 | Sapna JAIN K.P.SHUM | 2010 | Acta Mathematica Sinica,English Series2010，26，8： | 1 |
| 8 | Generalized Fuzzy Lie Ideals of Lie Algebras显示文摘In this paper we introduce new generalized fuzzy Lie ideals of Lie algebras and study some of their important properties.We characterize these generalized Lie ideals of Lie algebras by their level subsets.Some characterization of the generalized fuzzy Lie ideals of Lie algebras are also established. | M.Akram B.Davvaz K.P.Shum | 2010 | 模糊系统与数学2010，24，4： | 0 |
| 9 | Implicative Ideals and Fuzzy Implicative Ideals of a Distributive Implication Groupoid显示文摘We introduce the notions of implicative ideals and fuzzy implicative ideals of a distributive implication groupoid. Some properties of these ideals will be investigated. In particular, the necessary and sufficient conditions for an ideal(fuzzy ideal) to be an implicative ideal(fuzzy implicative ideal) is given. By using the concept of level sets, we will characterize the fuzzy implicative ideals of a distributive implication groupoid. Finally, an extension property for fuzzy implicative ideals is given. | Ravi Kumar BANDARU K.P.SHUM | 2014 | Journal of Mathematical Research with Applications2014，34，6： | 0 |
| 10 | Bipolar Neutrosophic Planar Graphs显示文摘Fuzzy graph theory is used for solving real-world problems in different fields,including theoretical computer science,engineering,physics,combinatorics and medical sciences.In this paper,we present conepts of bipolar neutrosophic multigraphs,bipolar neutrosophic planar graphs,bipolar neutrosophic dual graphs,and study some of their related properties.We also describe applications of bipolar neutrosophic graphs in road network and electrical connections. | Muhammad AKRAM K.P.SHUM | 2017 | Journal of Mathematical Research with Applications2017，37，6： | 0 |
| 11 | On Almost Armendariz Ring显示文摘In this paper,we introduce the notion of an almost Armendariz ring,which is a generalization of an Armendariz ring,and discuss some of its properties.It has been found that every almost Armendariz ring is weak Armendariz but the converse is not true.We prove that a ring R is almost Armendariz if and only if R[x]is almost Armendariz.It is also shown th at if R/I is an almost Armendariz ring and I is a semicommutative ideal,then H is an almost Armendariz ring.Moreover,the class of minimal non-commutative almost Armendariz rings is completely determined,up to isomorphism(minimal means having smallest cardinality). | Om Prakash Sushma Singh K.P.Shum | 2020 | Algebra Colloquium2020，27，2： | 0 |
| 12 | On f-Disjunctive Languages, f-Disjunctive Domains and Solid Codes(Dedicated to the late Professor Xu Yonghua (1932-2019))显示文摘Every language is either the disjoint union or the intersection of two disjunctive languages.The family of f-disjunctive languages is a natural generalization of the family of disjunctive languages.Disjunctive domains(f-disjunctive domains)are defined as the languages which can be checked whether a given language is disjunctive(f-disjunctive)or not.The f-disjunctive domains were first studied by Guo et al.around 1986-1989.We continue their study on f-disjunctive domains.Some new results for f-disjunctive domains,containing a relation between disjunctive domains and f-disjunctive domains,are introduced.In this respect,we also make an appropriate opening for the completely dense languages and solid codes. | Jing Leng Yuqi Guo K.P.Shum | 2020 | Algebra Colloquium2020，27，2： | 0 |
| 13 | Sturdy Frame of Type (2,2) Algebras With Application to Semigroup Structure of Semirings显示文摘W irst Introduce the concept oftrames.Definition We call txne(2,2)alsebr洲;+;·)a w。e If B Is elldowed with an uPP。rsc。lllattlce order‘”<”“satlsfyingthe Nil。 | 赵宪钟 郭聿琦 K.P.Shum | 2002 | 数学进展2002，31，3： | 0 |
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