云南高校图书馆联盟文献共享服务平台- COHEN-MACAULAY

COHEN-MACAULAY: 作品数：31被引量：11H指数：2; 导出分析报告; 相关领域：理学更多>>; 相关作者：林记郭锦唐曦马欣荣王明生更多>>; 相关机构：上海交通大学海南大学复旦大学西北师范大学更多>>; 相关期刊：《北京师范大学学报（自然科学版）》《Algebra Colloquium》《Frontiers of Mathematics in China》《吉林大学学报（理学版）》更多>>; 相关基金：国家自然科学基金上海市自然科学基金国家教育部博士点基金安徽省高校省级自然科学研究项目更多>>

斜多项式二次超曲面代数: 《廊坊师范学院学报（自然科学版）》2024年第4期5-13,共9页刘旸; 浙江省自然科学基金项目(LY24A010006)。; 为丰富非交换二次超曲面代数奇点表示理论和分类结果,以分次斜多项式代数为研究对象,讨论二次正则中心元并刻画相应极大Cohen-Macaulay模范畴的稳定范畴。建立分次斜多项式系数矩阵与二次中心元之间联系,分别得到了n元(±1)-分次斜多项...; 关键词：非交换二次超曲面中心元极大Cohen-Macaulay模范畴 Clifford形变

Clifford Deformations of Koszul Frobenius Algebras and Noncommutative Quadrics被引量：1: 《Algebra Colloquium》2024年第1期63-82,共20页Jiwei He Yu Ye; supported by ZJNSF(LY19A010011);NSFC(11971141,12371017);supported by NSFC(11971449,12131015,12371042).; A Clifford deformation of a Koszul Frobenius algebra E is a finite dimensional Z_(2)-graded algebra E(θ),which corresponds to a noncommutative quadric hypersurface E^(!)/(z)for some central regular element z∈E_(2)^(...; 关键词：Koszul Frobenius algebra Clifford deformation noncommutative quadric hypersurface maximal Cohen-Macaulay module

A Characterization of Sequentially Cohen-Macaulay Matroidal Ideals: 《Algebra Colloquium》2023年第2期237-244,共8页Payman Mahmood Hamaali Amir Mafi Hero Saremi; Let R=K[x1,…,xn]be the polynomial ring in n variables over a field K and I be a matroidal ideal of R.We show that I is sequentially Cohen-Macaulay if and only if the Alexander dual Iy has linear quotients.As a conseq...; 关键词：sequentially Cohen-Macaulay monomial ideals matroidal ideals

Cohen-Macaulay局部环上的Canonical模: 《吉林大学学报（理学版）》2023年第1期61-65,共5页路姣姣杨晓燕; 国家自然科学基金(批准号:11761060)。; 令(R,m,k)是Cohen-Macaulay局部环,M,N是有限生成R-模.假设N∈ΩCM(R),且Ext_(R)^(1≤i≤d)(M,N)=0,证明HomR(M,N)∈ΩCM(R),并给出有限生成模N是canonical模的条件.; 关键词：Cohen-Macaulay局部环极大Cohen-Macaulay模 canonical模

Bound for the Regularity of Binomial Edge Ideals of Cactus Graphs: 《Algebra Colloquium》2022年第3期443-452,共10页A.V.Jayanthan Rajib Sarkar; funded by University Grants Commission,India.; In this article,we obtain an upper bound for the regularity of the binomial edge ideal of a graph whose every block is either a cycle or a clique.As a consequence,we obtain an upper bound for the regularity of binomia...; 关键词：binomial edge ideal cactus graph Cohen-Macaulayness REGULARITY

A Construction of Sequentially Cohen-Macaulay Graphs被引量：1: 《Algebra Colloquium》2021年第3期399-414,共16页Aming Liu Tongsuo Wu; Supported by the Natural Science Foundation of Shanghai(No.19ZR1424100);the National Natural Science Foundation of China(No.11271250,11971338).; For every simple graph G,a class of multiple clique cluster-whiskered graphs G^(eπm)is introduced,and it is shown that all such graphs are vertex decomposable;thus,the independence simplicial complex Ind G^(eπm)is s...; 关键词：multiple clique cluster-whiskered graph vertex decomposable strongly shell-able Boolean graph facet ideal

Extremal Betti Numbers of Some Cohen-Macaulay Binomial Edge Ideals: 《Algebra Colloquium》2021年第3期415-430,共16页Carla Mascia Giancarlo Rinaldo; The first author was supported by the“National Group for Algebraic and Geometric Structures,and Their Applications”(GNSAGA-INdAM).; We provide the regularity and the Cohen-Macaulay type of binomial edge ideals of Cohen-Macaulay cones,and we show the extremal Betti numbers of some classes of Cohen-Macaulay binomial edge ideals:Cohen-Macaulay bipart...; 关键词：binomial edge ideal Cohen-Macaulay type extremal Betti number

On the Multiplicity and the Cohen-Macaulayness of Fiber Cones of Graded Modules: 《Algebra Colloquium》2021年第1期13-32,共20页Nguyen Tien Manh; Let(A,m)be a Noetherian local ring with maximal ideal m,I an ideal of A,J an m-primary ideal of A,N a finitely generated A-module,S=■n≥0 Sn a finitely generated standard graded algebra over A and M=■n≥0 Mn a finit...; 关键词：(FC)-sequence filter-regular sequence MULTIPLICITY COHEN-MACAULAY fiber cone

Vertex Decomposable Property of Graphs Whose Complements Are r-Partite: 《Journal of Mathematical Research with Applications》2021年第1期14-24,共11页Saba YASMEEN Tongsuo WU; Supported by the Natural Science Foundation of Shanghai(Grant No.19ZR1424100);the National Natural Science Foundation of China(Grant No.11971338)。; Let G be a non-complete graph such that its complement G is r-partite.In this paper,properties of the graph G are studied,including the Cohen-Macaulay property and the sequential Cohen-Macaulay property.For r=2,3,some...; 关键词：vertex decomposable graph COHEN-MACAULAY graph complement r-partite

Complete Intersection Monomial Curves and the Cohen-Macaulayness of Their Tangent Cones: 《Algebra Colloquium》2019年第4期629-642,共14页Anargyros Katsabekis Zhongming Tang; Let C(n)be a complete intersection monomial curve in the 4-dimensional affine space.In this paper we study the complete intersection property of the monomial curve C(n+wv),where w>0 is an integer and v ∈ N^4.In addit...; 关键词：monomial curve complete intersection tangent cone

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