云南高校图书馆联盟文献共享服务平台- IDEALS

IDEALS: 作品数：134被引量：61H指数：4; 导出分析报告; 相关领域：理学更多>>; 相关作者：宋振明徐扬赵光峰张诚一雷莉更多>>; 相关机构：西南交通大学华东师范大学湖南女子学院长江工程职业技术学院更多>>; 相关期刊：更多>>; 相关基金：国家自然科学基金国家重点基础研究发展计划广东省自然科学基金上海市浦江人才计划项目更多>>

Products of Commutator Ideals of Some Lie-admissible Algebras: 《Acta Mathematica Sinica,English Series》2024年第8期1875-1892,共18页Ivan KAYGORODOV Farukh MASHUROV Tran Giang NAM Ze Rui ZHANG; supported by FCT(Grant No.UIDB/00212/2020);FCT(Grant No.UIDP/00212/2020);supported by the Science Committee of the Ministry of Science and Higher Education of the Republic of Kazakhstan(Grant No.AP14869221);by“Tayelsizdik urpaqtary”MISD RK;partially supported by the Simons Foundation Targeted Grant for the Institute of Mathematics–VAST(Grant No.558672);by the Vietnam Institute for Advanced Study in Mathematics(VIASM);supported by the NNSF of China(Grant No.12101248);by the China Postdoctoral Science Foundation(Grant No.2021M691099)。; In this article,we mainly study the products of commutator ideals of Lie-admissible algebras such as Novikov algebras,bicommutative algebras,and assosymmetric algebras.More precisely,we first study the properties of t...; 关键词：Novikov algebra bicommutative algebra assosymmetric algebra Lie nilpotent algebra

Vanishing Ideals of Projective Spaces over Finite Fields and a Projective Footprint Bound: 《Acta Mathematica Sinica,English Series》2019年第1期47-63,共17页Peter BEELEN Mrinmoy DATTA Sudhir R.GHORPADE; supported by the Danish Council for Independent Research(Grant No.DFF–4002-00367),supported by the Danish Council for Independent Research(Grant No.DFF–6108-00362);supported by the Research Council of Norway(Project No.280731);supported by IRCC Award grant 12IRAWD009 from IIT Bombay; We consider the vanishing ideal of a projective space over a finite field. An explicit set of generators for this ideal has been given by Mercier and Rolland. We show that these generators form a universal Gr¨obner b...; 关键词：Finite field projective space algebraic variety vanishing ideal Grbner basis footprint bound projective hypersurface

On Ad-Nilpotent b-Ideals for Orthogonal Lie Algebras: 《Acta Mathematica Sinica,English Series》2013年第2期241-262,共22页Li Li LIU Li LUO; supported by National Natural Science Foundation of China(Grant Nos.11026103,11101151);Fundamental Research Funds for the Central Universities; Krattenthaler, Orsina and Papi provided explicit formulas for the number of ad-nilpotent ideals with fixed class of nilpotence of a Borel subalgebra of a classical Lie algebra. Especially for types A and C they obtain...; 关键词：Orthogonal Lie algebra Borel subalgebra ad-nilpotent ideal

Oriented Tree Diagram Lie Algebras and Their Abelian Ideals被引量：1: 《Acta Mathematica Sinica,English Series》2010年第11期2041-2058,共18页Li LUO; Supported by Shanghai Leading Academic Discipline Project (Project No.B407); We introduce oriented tree diagram Lie algebras which are generalized from Xu＇s both upward and downward tree diagram Lie algebras, and study certain numerical invariants of these algebras related to abelian ideals.; 关键词：Abelian ideal tree diagram solvable Lie algebra

z^(1/2)-Ideals and z°^(1/2)-Ideals in C(X): 《Acta Mathematica Sinica,English Series》2007年第6期989-996,共8页F.AZARPANAH R.MOHAMADIAN; Institute for Studies in Theoretical Physics and Mathematics(IPM),Tehran; It is well known that every prime ideal minimal over a z-ideal is also a z-ideal. The converse is also well known in C（X）. Thus whenever I is an ideal in C（X）, then √I is a z-ideal if and only if I is, in which c...; 关键词：√z-Ideals √z^o-Ideals quasi F-space almost P-space

Ideals in Morita Rings and Morita Semigroups被引量：2: 《Acta Mathematica Sinica,English Series》2005年第4期893-898,共6页Yu Qun CHEN Yun FAN Zhi Feng HAO; supported by the National Natural Science Foundation of China(Grant No.19971028);the Natural Science Foundation of Guangdong Province(Grant No.000463,021073 and z02017); We characterize the lattice of all ideals of a Morita ring （semigroup） when the corresponding pair of rings （semigroups） in the Morita context are Morita equivalent s-unital （like-unitv） rings （semigroups）.; 关键词：IDEAL Morita ring Morita semigroup

A Biordered Set Representation of Regular Semigroups: 《Acta Mathematica Sinica,English Series》2005年第2期289-302,共14页BingJunYU MangXU; In this paper, for an arbitrary regular biordered set E, by usingbiorder-isomorphisms between the ω-ideals of E, we construct a fundamental regular semigroup W_Ecalled NH-semigroup of E, whose idempotent biordered se...; 关键词：biordered set biorder-isomorphism between ω-ideals NH-semigroup W_E fullsymmetric subsemigoup

On Standard Ideals: 《Acta Mathematica Sinica,English Series》2003年第1期171-176,共6页ZhiDeYU; In the paper, we study a class of standard ideals which are more general than the m-primary standard ideals discussed in [2]. We will prove an important equality concerning I-weak sequences; thus a generalization of t...; 关键词：Noetherian local ring Local cohomology Standard ideal

On Ideals of Regular Rings: 《Acta Mathematica Sinica,English Series》2002年第2期347-356,共10页CHEN Huan Yin Department of Mathematics,Hunan Normal University.Changsha 410006.P.R.China E-mail:chyzxl@sparc2.hunnu.edu.cnLI Fu An Institute of Mathematics.Academy of Mathematics and System Sciences Chinese Academy of Sciences,Beijing 100080,P.R,China E-mail:fal@math08,math.ac.cn; supported by the National Natural Science Foundation of China (Grant;No.19801012);the Ministry of Education of China; in this paper,we investigate ideals of regular rings and give several characterizations for an ideal to satisfy the comparability.In addition,it is shown that.if I is a minimal two-sided ideal of a regular ring R,then...; 关键词：Regular ring Comparability Stable range one Rothis problem

Unimodal Sequences of Gorenstein Ideals of Codimension 4: 《Acta Mathematica Sinica,English Series》1998年第4期563-568,共6页Hyoung J. Ko; The present studies were supported (in part) by the Basic Science Research Institute Program, BSRI 97-1423, Ministry of Education, Korea; We present Gorenstein ideals of condimension 4 which have unimodal Hilbert functions.; 关键词：k-configuration Hilbert function Minimal free resolution Gorenstein ideal of codimension 4

IDEALS