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NILPOTENT: 作品数：98被引量：79H指数：5; 导出分析报告; 相关领域：理学更多>>; 相关作者：刘先忠王品超海进科冯红张伟亿更多>>; 相关机构：武汉大学安徽师范大学中北大学烟台师范学院更多>>; 相关期刊：《Science China Chemistry》《Journal of Mathematical Research with Applications》《Science China Mathematics》《Journal of Computational Mathematics》更多>>; 相关基金：国家自然科学基金国家教育部博士点基金河南省自然科学基金国家重点基础研究发展计划更多>>

Some properties of Melnikov functions near a cuspidal loop: 《Science China Mathematics》2024年第4期767-786,共20页Junmin Yang Maoan Han; supported by National Natural Science Foundation of China(Grant No.11971145);supported by National Natural Science Foundation of China(Grant No.11931016);the National Key R&D Program of China(Grant No.2022YFA1005900)。; In this paper,we consider the first-order Melnikov functions and limit cycle bifurcations of a nearHamiltonian system near a cuspidal loop.By establishing relations between the coefficients in the expansions of the tw...; 关键词：Melnikov function nilpotent cusp limit cycle BIFURCATION

McKay Matrices for Pointed Rank One Hopf Algebras of Nilpotent Type被引量：1: 《Algebra Colloquium》2023年第3期467-480,共14页Liufeng Cao Xuejun Xia Libin Li; Let H be a finite-dimensional pointed rank one Hopf algebra of nilpotent type over a finite group G.In this paper,we investigate the McKay matrix WV of H for tensoring with the 2-dimensional indecomposable H-module V:...; 关键词：Hopf algebra McKay matrix generalized Fibonacci polynomial

Finite Groups in Which Every Maximal Subgroup Is Nilpotent or a TI-Subgroup or Has Order p'被引量：1: 《Algebra Colloquium》2023年第1期165-168,共4页Jiangtao Shi; supported by Shandong Provincial Natural Science Foundation,Chin(ZR2017MA022 and ZR2020MA044)and NSFC(11761079).; We obtain a complete characterization of the structure of a finite group G in which every maximal subgroup is nilpotent or a TI-subgroup or has order p'for any fixed prime divisor p of|G|.Moreover,we show that there e...; 关键词：maximal subgroup NILPOTENT TI-subgroup p'-order

Derived norms of finite groups: 《Science China Mathematics》2022年第12期2493-2502,共10页Zhencai Shen Shirong Li Jiping Zhang; supported by National Natural Science Foundation of China (Grant Nos. 11631001 and 12071181);。; The intersection of particular subgroups is a kind of interesting substructure in group theory. Let G be a finite group and D(G) be the intersection of the normalizers of the derived subgroups of all the subgroups of ...; 关键词：derived subgroups D-groups nilpotent residuals IO-D-groups

One-Generated Nilpotent Bicommutative Algebras: 《Algebra Colloquium》2022年第3期453-474,共22页Ivan Kaygorodov Pilar Páez-Guillán Vasily Voronin; supported by FAPESP 2019/03655-4,CNPq 302980/2019-9,RFBR 20-01-00030,MTM2016-79661-P,AP08052405 of MES RK,FPU scholarship(Spain);FCT UIDB/00212/2020 and UIDP/00212/2020;supported by the Austrian Science Foundation FWF,grant P 33811-N,by Agencia Estatal de Investigación(Spain),grant PID2020-115155GB-I00(European FEDER support included,UE);by Xunta de Galicia,grant ED431C 2019/10(European FEDER support included,UE).; We give a classification of 5-and 6-dimensional complex one-generated nilpotent bicommutative algebras.; 关键词：bicommutative algebras nilpotent algebras algebraic classification central extension

On Chevalley Restriction Theorem for Semi-reductive Algebraic Groups and Its Applications被引量：1: 《Acta Mathematica Sinica,English Series》2022年第8期1421-1435,共15页Ke OU Bin SHU Yu Feng YAO; Supported by NSFC(Grant Nos.12071136,11671138,11771279,12101544);Shanghai Key Laboratory of PMMP(Grant No.13dz2260400);the Fundamental Research Funds of Yunnan Province(Grant No.2020J0375)。; An algebraic group is called semi-reductive if it is a semi-direct product of a reductive subgroup and the unipotent radical.Such a semi-reductive algebraic group naturally arises and also plays a key role in the stud...; 关键词：Semi-reductive algebraic groups semi-reductive Lie algebras Chevalley restriction theorem nilpotent cone Steinberg map Springer resolution

Some Polynomial Maps with Jacobian Rank Two or Three: 《Algebra Colloquium》2022年第2期341-360,共20页Dan Yan; Supported by the National Natural Science Foundation of China(Grant No.11601146,11871241);the Natural Science Foundation of Hunan Province(Grant No.2016JJ3085);the Construct Program of the Key Discipline in Hunan Province.; We classify all polynomial maps of the form H=(u(x,y,z),v(x,y,z),h(x,y))in the case when the Jacobian matrix of H is nilpotent and the highest degree of z in v is no more than 1.In addition,we generalize the structure...; 关键词：Jacobian conjecture nilpotent Jacobian matrix polynomial maps

Triply Factorised Groups and the Structure of Skew Left Braces: 《Communications in Mathematics and Statistics》2022年第2期353-370,共18页A.Ballester-Bolinches R.Esteban-Romero; supported by the research Grant PGC2018-095140-B-I00 from the Ministerio de Ciencia,Innovacion y Universidades(Spanish Government),the Agencia Estatal de Investigacion(Spain),and FEDER(European Union);PROMETEO/2017/057 from the Generalitat(Valencian Community,Spain).; The algebraic structure of skew left brace has proved to be useful as a source of settheoretic solutions of theYang-Baxter equation.We study in this paper the connections between left and right π-nilpotency and the s...; 关键词：Skew left brace Trifactorised group Triply factorised group Left nilpotent skew left brace Right nilpotent skew left brace IDEAL Left Fitting ideal Factorised skew left brace

Nilpotent Structure of Generalized Semicommutative Rings: 《Journal of Mathematical Research with Applications》2022年第2期133-144,共12页Ping HE Liang ZHAO; Supported by the Natural Science Foundation of Jiangsu Province(Grant No.BK20181406);the National Natural Science Foundation of China(Grant No.12161049)。; We study the nilpotent structure of generalized semicommutative rings.The new concept of nilpotentα-semicommutative rings is defined and studied.This class of rings is closely related to many well-known concepts incl...; 关键词：nilpotentα-semicommutative rings α-rigid rings α-semicommutative rings polynomial rings

Three Ideals of Lie Superalgebras: 《Algebra Colloquium》2022年第1期143-150,共8页Xiaodong Zhao Liangyun Chen; Supported by NNSF of China(Nos.11771069 and 12071405).; We define perfect ideals,near perfect ideals and upper bounded ideals of a finite-dimensional Lie superalgebra,and study the properties of these three kinds of ideals through their relevant sequences.We prove that a L...; 关键词：Lie superalgebras perfect ideals near perfect ideals upper bounded ideals SOLVABLE NILPOTENT

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