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ARTINIAN: 作品数：13被引量：2H指数：1; 导出分析报告; 相关领域：理学自动化与计算机技术更多>>; 相关作者：张金凤魏杰刘志军施恩伟章聚乐更多>>; 相关机构：兰州理工大学安徽师范大学陕西师范大学长沙理工大学更多>>; 相关期刊：《Science China Mathematics》《兰州理工大学学报》《Algebra Colloquium》《湖南文理学院学报（自然科学版）》更多>>; 相关基金：国家自然科学基金湖南省教育厅科研基金更多>>

Virtually Baer模: 《兰州理工大学学报》2025年第1期145-149,共5页王永铎陈玉华; 国家自然科学基金(11861043)。; 引入virtually Baer模的概念,举例说明virtually Baer模是Baer模的真推广,给出了在一定条件下virtually Baer模对直和项的封闭性,讨论了virtually Baer模与GSIP模、广义SSIP模之间的关系,由此给出了半单artinian环及右V-环新的刻画.; 关键词：virtually Baer模 Baer模 GSIP模半单artinian环 V-环

APPROXIMATELY ARTINIAN(NOETHERIAN)C*-ALGEBRAS: 《Acta Mathematica Scientia》2024年第6期2485-2497,共13页Mohammad ROUZBEHANI Massoud AMINI Mohammad B.ASADI; supported by grants from INSF(98029498,99013953);partly supported by a grant from IPM(96430215)。; In this article,we introduce and study the class of approximately Artinian(Noetherian)C^(*)-algebras,called AR-algebras(AN-algebras),which is a simultaneous generalization of Artinian(Noetherian)C*-algebras and AF-alg...; 关键词：C^(*)-algebra graph C^(*)-algebra ARTINIAN NOETHERIAN inductive limit (weakly)purely infinite ideal property

Reduction of Ideals Relative to an Artinian Module and the Dual of Burch,s Inequality: 《Algebra Colloquium》2019年第1期113-122,共10页Fatemeh Cheraghi Amir Mafi; Let (A,m) be a commutative quasi-local ring with non-zero identity and M be an Artinian A-module with dim M = d. If I is an ideal of A with l(0 :m I)<∞, then we show that for a minimal reduction J of I,(0 : m JI)=(0 ...; 关键词：REDUCTION of IDEALS ARTINIAN MODULES co-Cohen-Macaulay

CHAIN CONDITIONS FOR C＊-ALGEBRAS COMING FROM HILBERT C＊-MODULES被引量：2: 《Acta Mathematica Scientia》2018年第4期1163-1173,共11页Mahmood POURGHOLAMHOSSEIN Mohammad ROUZBEHANI Massoud AMINI; In this paper we define and study chain conditions for Hilbert C＊-modules through their C＊-algebras of compact operators and discuss their perseverance under Morita equivalence and tensor products. We show that thes...; 关键词：Hilbert C＊-module Noetherian and Artinian C＊-algebras purely infinite C＊-algebras Morita equivalence

Artinian Local Rings Whose Annihilating-ideal Graphs Are Star Graphs: 《Algebra Colloquium》2015年第1期73-82,共10页Houyi Yu Tongsuo Wu Weiping Gu; The first author is supported by Fundamental Research Funds for the Central Universi- ties （No. XDJK2013C060）, Chongqing Research Program of Application Foundation and Advanced Technology （No. cstc2014jcyjA00028） and Scientific Research Foundation for Doctors of Southwest University （No. SWUl12054）. The second author is supported by National Natural Science Foundation of China （No. 11271250）.; In this paper, a necessary and sufficient condition is given for a commutative Artinian local ring whose annihilating-ideal graph is a star graph. Also, a complete char- acterization is established for a finite local ...; 关键词：Artinian rings local rings quotients of polynomial rings annihilating-ideals star graphs

A Note on the (Faith-Menal) Counter Example: 《Advances in Pure Mathematics》2012年第1期39-40,共2页R. H. Sallam; Faith-Menal counter example is an example (unique) of a right John’s ring which is not right artinian In this paper we show that the ring T which considered as an example of a right Johns ring in the (Faith-Menal) Co...; 关键词：Johns Ring ARTINIAN and NOETHERIAN RINGS

关于单Artinian环上长方矩阵的保粘切的映射: 《湖南文理学院学报（自然科学版）》2011年第3期21-23,共3页刘志军戴建宇王加宾; 湖南省教育厅资助重点科研项目(10A002); 设R为单Artinian环,φ:R m×n→Rm×n是一个映射.讨论关于单Aritinian环上长方矩阵的保粘切映射的一些等价命题.; 关键词：单Artinian环矩阵几何粘切

QF的刻划(英文): 《兰州工业高等专科学校学报》2007年第3期1-3,共3页董珺魏杰; 研究了关于右零化子满足升链和降链条件的环,即Artinian环和Noether环.设R是左P-内射环且非零补左理想在R中不小,若R满足条件(*),则R是右Artinian环.证明了R是QF环当且仅当R是满足条件(*)的左2-内射环且非零补左理想在R中不小.; 关键词：Artinian环 NOETHER环 QF环

Exchange Rings Generated by Their Units: 《Acta Mathematica Sinica,English Series》2007年第2期357-364,共8页Huan Yin CHEN; Supported by Natural Science Foundation of Hunan Province(04JJ40003); Let R be an exchange ring with primitive factors artinian. We prove that there exists a u∈U（R） such that 1R ± u ∈ U（R）, if and only if for any a ∈ R, there exists a u ∈ U（R） such that a ± u∈ U（R）. Phrth...; 关键词：exchange ring primitive factors artinian strongly π-regular ring

Noetherian模的某些性质: 《云南师范大学学报（自然科学版）》2005年第4期1-2,共2页林谦施恩伟; 文章证明了noetherian模的某些性质的等价性。; 关键词：Noetherian模 Artinian模子模格

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