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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>>

Colon Structure of Associated Primes of Monomial Ideals: 《Algebra Colloquium》2024年第3期441-450,共10页Siddhi Balu Ambhore Indranath Sengupta; Supported by the MATRICS research grant MTR/2018/000420;sponsored by the SERB Government of India.; We find an explicit expression of the associated primes of monomial ideals as a colon by an element,using the unique irredundant irreducible decomposition whose irreducible components are monomial ideals.An algorithm ...; 关键词：monomial ideals associated primes colon ideals

Annihilator Ideals of Indecomposable Modules of Finite-Dimensional Pointed Hopf Algebras of Rank One: 《Algebra Colloquium》2024年第1期149-164,共16页Yu Wang; supported by the National Natural Science Foundation of China(Grant No.12371041).; Let H be a finite-dimensional pointed Hopf algebra of rank one over an algebraically closed feld of characteristic zero.We describe all annihilator ideals of indecomposable H-modules by generators.In particular,we giv...; 关键词：indecomposable module annihilator ideal primitive central orthogonal idem-potent element

On ϕ-( n,N )-ideals of Commutative Rings: 《Algebra Colloquium》2023年第3期481-492,共12页Adam Anebri Najib Mahdou Ünsal Tekir Eda Yıldız; Let R be a commutative ring with nonzero identity and n be a positive integer.In this paper,we introduce and investigate a new subclass ofϕ-n-absorbing primary ideals,which are calledϕ-(n,N)-ideals.Letϕ:I(R)→I(R)∪{∅...; 关键词：Φ-(n N)-ideal Φ-n-absorbing primary ideal Φ-n-absorbing ideal Φ-prime

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

Second Powers of Cover Ideals of Paths: 《Algebra Colloquium》2022年第4期669-686,共18页Nursel Erey Ayesha Asloob Qureshi; supported by the TUBiTAK grant no.118C033.; We show that the second power of the cover ideal of a path graph has linear quotients.To prove our result we construct a recursively defined order on the generators of the ideal which yields linear quotients.Our const...; 关键词：cover ideal power of ideals linear quotient path vertex cover

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

Ideals of Finite-Dimensional Pointed Hopf Algebras of Rank One被引量：1: 《Algebra Colloquium》2021年第2期351-360,共10页Yu Wang Zhihua Wang Libin Li; supported by the National Natural Science Foundation of China(Grant No.11871063);supported by the Qing Lan project.; Let H be a finite-dimensional pointed Hopf algebra of rank one over an algebraically closed field of characteristic zero.In this paper we show that any finitedimensional indecomposable H-module is generated by one ele...; 关键词：IDEAL indecomposable module adjoint action principal ideal ring

Edge Ideals with Regularity No More than Three被引量：1: 《Algebra Colloquium》2020年第4期761-766,共6页Aming Liu Tongsuo Wu; Research supported by the Natural Science Foundation of Shanghai(No.19ZR1424100);the National Natural Science Foundation of China(No.11971338).; We prove that if G is a gap-free and chair-free simple graph,then the regularity of the edge ideal of G is no more than 3.If G is a gap-free and P4-free graph,then it is a chair-free graph;furthermore,the complement o...; 关键词：Castelnuovo—Mumford regularity powers of ideals edge ideals gap-free graphs chair-free graphs

Divisibility Proper ties of the Semiring of Ideals of an Integral Domain: 《Algebra Colloquium》2020年第3期369-380,共12页Gyu Whan Chang HwanKoo Kim; supported by the Incheon National University Research Grant in 2018(Grant No.2018-0014).; Let D be an integral domain,F^(+)(D)(resp.,f^(+)(D))be the set of nonzero(resp.,nonzero finitely generated)ideals of D,R_(1)=f+(D)∪{(0)},and R_(2)=F+(D)∪{(0)}.Then(R_(i),㊉,■)for i=1,2 is a commutative semiring wit...; 关键词：star operation P*MD *-Dedekind domain Gaussian semiring Bezout semiring unique factorization semidomain principal ideal semidomain

Reductions of Ideals in Pullbacks: 《Algebra Colloquium》2020年第3期523-530,共8页S.Kabbaj A.Mimouni; This paper deals with reductions of ideals in various settings of pullback constructions.Precisely,we investigate reductions of several types of ideals in both generic and classical pullbacks.We also characterize pull...; 关键词：PULLBACK reduction minimal reduction basic ideal Priifer domain

IDEALS