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IDEMPOTENT: 作品数：48被引量：54H指数：3; 导出分析报告; 相关领域：理学更多>>; 相关作者：杜先能赵春娥陈建龙郭学军朱辉辉更多>>; 相关机构：安徽大学东南大学中国科学技术大学四川农业大学更多>>; 相关期刊：《模糊系统与数学》《Frontiers of Mathematics in China》《Journal of Southeast University(English Edition)》《Open Journal of Discrete Mathematics》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福建省自然科学基金国家教育部博士点基金更多>>

(g,e)-Symmetric Rings: 《Algebra Colloquium》2024年第2期263-270,共8页Fanyun Meng Junchao Wei Nanqing Ding; supported by the Foundation of Natural Science of China(12301029,11171291);Natural Science Fund for Colleges and Universities in Jiangsu Province(11KJB110019 and 15KJB110023).; Let R be a ring and e,g in E(R),the set of idempotents of R.Then R is called(g,e)-symmetric if abc=0 implies gacbe=0 for any a,b,c∈R.Clearly,R is an e-symmetric ring if and only if R is a(1,e)-symmetric ring;in parti...; 关键词：IDEMPOTENT (g e)-symmetric ring Abel ring left semicentral

Nil-Clean Rings with Involution被引量：2: 《Algebra Colloquium》2021年第3期367-378,共12页Jian Cui Guoli Xia Yiqiang Zhou; This research was supported by Anhui Provincial Natural Science Foundation(No.2008085MA06);the Key Project of Anhui Education Committee(No.gxyqZD2019009)(for Cui);a Discovery Grant from NSERC of Canada(for Xia and Zhou).; A*-ring R is called a nil *-clean ring if every element of R is a sum of a projection and a nilpotent.Nil*-clean rings are the version of nil-clean rings introduced by Diesl.This paper is about the nil*-clean property...; 关键词：IDEMPOTENT NILPOTENT PROJECTION nil-clean ring *-ring nil*-clean ring matrix ring

On the Number of Idempotent Partial Contraction Mappings of a Finite Chain: 《Open Journal of Discrete Mathematics》2021年第3期94-101,共8页Oladapo Adekunle Ojo Fatma Salim Ali Al-Kharousi Abdullahi Umar; Let be the partial symmetric semigroup on and let ...; 关键词：HEIGHT Right (Left) Waist and Fix of a Transformation IDEMPOTENTS

A New Criterion on k-Normal Elements over Finite Fields被引量：1: 《Chinese Annals of Mathematics,Series B》2020年第5期665-678,共14页Aixian ZHANG Keqin FENG; supported by the National Natural Science Foundation of China(No.11571107);the Natural Science Basic Research Plan of Shaanxi Province of China(No.2019JQ-333).; The notion of normal elements for finite fields extension was generalized as k-normal elements by Huczynska et al.(2013).Several methods to construct k-normal elements were presented by Alizadah et al.(2016)and Huczyn...; 关键词：Normal basis Finite field IDEMPOTENT Linearized polynomial GAUSS

Homological behavior of idempotent subalgebras and Ext algebras被引量：1: 《Science China Mathematics》2020年第2期309-320,共12页Colin Ingalls Charles Paquette; supported by an NSERC Discovery Grant;supported by the University of Connecticut and by the NSF CAREER grant (Grant No. DMS-1254567); Let A be a(left and right) Noetherian ring that is semiperfect. Let e be an idempotent of A and consider the ring Γ :=(1-e)A(1-e) and the semi-simple right A-module Se := e A/e rad A. In this paper, we investigate th...; 关键词：global dimension Noetherian ring semiperfect ring idempotent subalgebra Cartan determinant

The Existence and Application of Strongly Idempotent Self-orthogonal Row Latin Magic Arrays: 《Acta Mathematicae Applicatae Sinica》2018年第4期693-702,共10页Yu-fang ZHANG Jing-yuan CHEN Dian-hua WU Han-tao ZHANG; Supported by the National Natural Science Foundation of China(No.11271089);Guangxi Nature Science Foundation(No.2012GXNSFAA053001);Key Foundation of Guangxi Education Department(No.201202ZD012);Guangxi “Ba Gui” Team for Research and Innovation; Let N = {0, 1, ···, n-1}. A strongly idempotent self-orthogonal row Latin magic array of order n（SISORLMA（n） for short） based on N is an n × n array M satisfying the following properties：（1） each row of M i...; 关键词：Diagonally ordered magic square IDEMPOTENT nonelementary rational self-orthogonal row Latinmagic array self-orthogonal Latin squares with holes

Algebraic K-theory of Gorenstein projective modules: 《Frontiers of Mathematics in China》2018年第1期55-66,共12页Ruixin LI Miantao LIU Nan GAO; We introduce the Gorenstein algebraic K-theory space and the Gorenstein algebraic K-group of a ring, and show the relation with the classical algebraic K-theory space, and also show the ＇resolution theorem＇ in this ...; 关键词：Frobenius pair Gorenstein projective module Gorenstein algebraicK-group idempotent complete category RECOLLEMENT

Semi-Simple Algebras and Normality of Closed Subsets in Standard Table Algebras: 《Wuhan University Journal of Natural Sciences》2017年第5期369-372,共4页CHEN Sheng'an; Supported by the National Natural Science Foundation of China(11571129);Educational Commission of Hubei Province(D20132804); By using Artin-Wedderburn Theorem and the decomp- osition of central edepotent, several results about normality on closed subsets in standard table algebras are generalized to complex semi-simple algebras and the proo...; 关键词：semi-simple algebra standard table algebra normal closed subset central idempotent

Structure of Abelian rings: 《Frontiers of Mathematics in China》2017年第1期117-134,共18页Juncheol HAN Yang LEE Sangwon PARK; Let R be a ring with identity. We use J（R）, G（R）, and X（R） to denote the Jacobson radical, the group of all units, and the set of all nonzero nonunits in R, respectively. A ring is said to be Abelian if every id...; 关键词：Abelian ring regular group action local ring semiperfect ring finite ring Abelian group idempotent-lifting complete set of primitive idempotents

RIESZ IDEMPOTENT OF (n, k)-QUASI-*-PARANORMAL OPERATORS: 《Acta Mathematica Scientia》2016年第5期1487-1491,共5页曾清平钟怀杰; supported by National Natural Science Foundation of China(11301077,11301078,11401097,11501108);Natural Science Foundation of Fujian Province(2015J01579,2016J05001); A bounded linear operator T on a complex Hilbert space H is called（n, k）-quasi-*-paranormal if ║T;（T;x） ║;║ T;x║;≥║ T*（T;x）║ for all x ∈ H,where n, k are nonnegative integers. This class of operators has...; 关键词：*-class A operator *-paranormal operator Riesz idempotent

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