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NOETHERIAN: 作品数：24被引量：7H指数：2; 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：杨晓燕汪小琳刘仲奎宋传宁王春华更多>>; 相关机构：西北师范大学安徽工业大学上海水产大学上海师范大学更多>>; 相关期刊：《四川师范大学学报（自然科学版）》《Acta Mathematica Sinica,English Series》《Science China Mathematics》《Algebra Colloquium》更多>>; 相关基金：国家自然科学基金安徽省自然科学基金更多>>

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

On Modules Satisfying S-Noetherian Spectrum Condition: 《Communications in Mathematics and Statistics》2023年第3期649-662,共14页MehmetÖzen Osama A.Naji Ünsal Tekir Suat Koç; Let R be a commutative ring having nonzero identity and M be a unital R-module.Assume that S⊆R is a multiplicatively closed subset of R.Then,M satisﬁes S-Noetherian spectrum condition if for each submodule N of M,ther...; 关键词：Noetherian modules S-Noetherian modules Noetherian spectrum S-Noetherian spectrum condition

k-Noetherian半环的Ore扩张: 《四川师范大学学报（自然科学版）》2022年第5期618-624,共7页卓远帆谷勤勤; 安徽省自然科学基金(2008085QA03)。; 首先得到半环上Hilbert基定理的一种新形式.其次,证明如果半环R是左k-Noetherian的且映射γ为R的自同构,则它的Ore扩张R[x;γ,d]也是左k-Noetherian的.特别地,当Ore扩张中d为零映射时,R[x;γ]为斜多项式半环S(R).令γ为R的自同构,N(R)表...; 关键词：Noetherian半环理想多项式半环 ORE扩张

Some Results on Noetherian Warfield Domains: 《Algebra Colloquium》2022年第1期67-78,共12页Kui Hu Jung Wook Lim Dechuan Zhou; This work was partially supported by the Department of Mathematics in Kyungpook National University and National Natural Science Foundation of China(Grant No.11671283);The second author was supported by the Basic Science Research Program through the National Research Foundation of Korea(NRF)funded by the Ministry of Education,Science and Technology(2017R1C1B1008085),Korea.; Let R be a domain.In this paper,we show that if R is one dimensional,then R is a Noetherian Warfield domain if and only if every maximal ideal of R is 2-generated and for every maximal ideal M of R,M is divisorial in ...; 关键词：strongly Gorenstein projective module Noetherian Warfield domain strongly Gorenstein Dedekind domain

Remarks on Centers of Rings: 《Algebra Colloquium》2021年第1期1-12,共12页Juan Huang Hailan Jin Tai Keun Kwak Yang Lee Zhelin Piao; The second author was supported by the National Natural Science Foundation of China(11361063);the third author was supported by Basic Science Research Program through the National Research Foundation of Korea(NRF)funded by the Ministry of Education of Korea(2016R1D1A1B03931190).; It is proved that for matrices A,B in the n by n upper triangular matrix ring T_(n)(R)over a domain R,if AB is nonzero and central in T_(n)(R)then AB=BA.The n by n full matrix rings over right Noetherian domains are a...; 关键词：weakly reversible-over-center ring CENTER commutative domain right Noetherian domain reduced ring full(upper)triangular matrix ring NI ring

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

Maximal codes: 《Journal of Mathematics and System Science》2017年第9期261-268,共8页Mohammed. Sabiri; In this work we try to introduce the concept of Maximal codes that are built over rings, more precisely we will give Maximal codes for special rings, Namely that the notion of maximal codes has been used by Chritophe ...; 关键词：cyclic codes dual code noetherian local ring maximal codes.

Gorenstein injective sheaves: 《Frontiers of Mathematics in China》2017年第1期87-95,共9页Sergio ESTRADA Alina IACOB; We define Gorenstein injective quasi-coherent sheaves, and prove that the notion is local in case the scheme is Gorenstein. We also give a new characterization of a Gorenstein scheme in terms of the total acyclicity o...; 关键词：Gorenstein injective Noetherian scheme

Noetherian Dimension and Co-localization of Artinian Modules over Local Rings: 《Algebra Colloquium》2014年第4期663-670,共8页Le Thanh Nhan Tran Do Minh Chau; Let （R,m） be a Noetherian local ring. Denote by N-dimnA the Noetherian dimension of an Artinian R-module A. In this paper, we give some characterizations for the ring R to satisfy N-dimRA = dim（R/AnnRA） for certai...; 关键词：Artinian modules CO-LOCALIZATION going up formal fibers

The Primary Radical of a Submodule: 《Advances in Pure Mathematics》2012年第5期344-348,共5页Lamis J. M. Abulebda; In this paper we introduced a definition for the primary radical of a submodule with some of its basic properties. We also define the P-radical submodule and review some results about it. We find a method to character...; 关键词：PRIMARY SUBMODULE PRIME RADICAL of a SUBMODULE RADICAL SUBMODULE Free MODULE NOETHERIAN MODULE Finitely Generated SUBMODULE

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