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COMMUTATIVITY: 作品数：31被引量：23H指数：3; 导出分析报告; 相关领域：理学更多>>; 相关机构：中国矿业大学更多>>; 相关期刊：《Acta Mathematica Scientia》《Chinese Quarterly Journal of Mathematics》《模糊系统与数学》《Journal of Mathematical Research with Applications》更多>>; 相关基金：国家自然科学基金安徽省自然科学基金河南省自然科学基金国家重点基础研究发展计划更多>>

带有对合的素环的微分恒等式: 《Chinese Quarterly Journal of Mathematics》2023年第2期134-144,共11页黄述亮; Supported by the University Science Research Project of Anhui Province(Grant Nos.KJ2020A0711,KJ2020ZD74,KJ2021A1096);the Natural Science Foundation of Anhui Province(Grant No.1908085MA03)。; Let R be a prime ring of characteristic different from two with the second involution∗andαan automorphism of R.An additive mapping F of R is called a generalized(α,α)-derivation on R if there exists an(α,α)-deriv...; 关键词：Prime rings Generalized(α α)-derivations INVOLUTION COMMUTATIVITY

b-Generalized Derivations on Prime Rings: 《Journal of Mathematical Research with Applications》2021年第4期349-354,共6页Shuliang HUANG; Supported by the Natural Science Foundation of Anhui Province(Grant Nos.1808085MA14,1908085MA03).; In the present paper,we have discussed the commutativity of prime rings and extended some well known results concerning derivation and generalized derivations to b-generalized derivations.; 关键词：prime rings 6-generalized derivations COMMUTATIVITY

Commutativity Conditions for Rings and Generalized 2-CN Rings: 《Algebra Colloquium》2021年第1期51-62,共12页Hua Yao Jianhua Sun Junchao Wei; This work was in part supported by the National Science Foundation of China under Grant Nos.11701499 and 11671008;the National Science Foundation of Projects of Jiangsu Province of China under Grant No.BK20170589.; Firstly,the commutativity of rings is investigated in this paper.Let R be a ring with identity.Then we obtain the following commutativity conditions:(1)if for each x∈R\N(R)and each y∈R,(xy)^(k)=x^(k)y^(k)for k=m,m+1...; 关键词：commutativity conditions generalized 2-CN rings regular rings 2-good rings weakly Abel rings

Special Mappings with Central Values on Prime Rings: 《Algebra Colloquium》2020年第3期405-414,共10页H.El Mir A.Mamouni L.Oukhtite; In this paper we investigate commutativity of prime rings with involution*of the second kind in which endomorphisms satisfy certain algebraic identities.Furthermore,we provide examples to show that the various restric...; 关键词：prime ring INVOLUTION COMMUTATIVITY DERIVATION generalized derivation

NC-Rings and Some Commutativity Conditions: 《Advances in Pure Mathematics》2019年第2期143-163,共21页S. Khalid Nauman Najat M. Muthana; Sum of two nilpotent elements in a ring may not be nilpotent in general, but for commutative rings this sum is nilpotent. In between commutative and non-commutative rings there are several types of rings in which this...; 关键词：NC-Rings NC-Rngs Semi-Projective-Morita-Contexts Right Ck-Goldie RINGS

Factorization Numbers of a Class of Finite p-groups: 《Chinese Quarterly Journal of Mathematics》2018年第4期434-440,共7页WANG Yu-lei ZHANG Yuan-feng GUO Peng; Supported by National Natural Science Foundation of China(11601121);Henan Provincial Natural Science Foundation of China(162300410066); Let p be a prime number and f_2(G) be the number of factorizations G = AB of the group G, where A, B are subgroups of G. Let G be a class of finite p-groups as follows,G = a, b | a^(p^n)= b^(p^m)= 1, a^b= a^(p^(n-1)+1...; 关键词：finite P-GROUP FACTORIZATION number SUBGROUP COMMUTATIVITY DEGREE

The Commutativity of a *-Ring with Generalized Left *-α-Derivation: 《Advances in Pure Mathematics》2018年第2期168-177,共10页Ahmet Oguz Balci Neset Aydin Selin Turkmen; In this paper, it is defined that left *-α-derivation, generalized left *-α-derivation and *-α-derivation, generalized *-α-derivation of a *-ring where α is a homomorphism. The results which proved for generalize...; 关键词：*-Ring Prime *-Ring Generalized Left *-α-Derivation Generalized *-α-Derivation

Strong 3-Commutativity Preserving Maps on Standard Operator Algebras: 《Acta Mathematica Sinica,English Series》2017年第12期1659-1670,共12页Mei Yun LIU Jin Chuan HOU; Supported by Natural Science Foundation of China(Grant No.11671294); Let X be a Banach space of dimension ≥ 2 over the real or complex field F and A a standard operator algebra in B（X）. A map Ф ： A→A is said to be strong 3-commutativity preserving if [Ф（A）, Ф（B）]a = [A, B]3...; 关键词：3-commutators standard operator algebras Banach spaces PRESERVERS

Commuting Dual Toeplitz Operators on the Harmonic Dirichlet Space被引量：1: 《Acta Mathematica Sinica,English Series》2016年第9期1099-1105,共7页Jing Yu YANG Yin Yin HU Yu Feng LU Tao YU; Supported by NSFC(Grant Nos.11271059,11271332,11431011,11301047);NSF of Zhejiang Province(Grant Nos.LY14A010013,LY14A010021);Higher School Foundation of Inner Mongolia of China(Grant No.NJZY13298); In this paper, we characterize the symbols for （semi-）commuting dual Toeplitz operators on the orthogonal complement of the harmonic Dirichlet space. We show that for φ ,ψ ∈ W1, ∞, SφSψ = SψSφ on （Dh）⊥ if...; 关键词：Dual Toeplitz operator harmonic Dirichlet space COMMUTATIVITY

Strong Skew Commutativity Preserving Maps on Rings with Involution被引量：3: 《Acta Mathematica Sinica,English Series》2016年第6期745-752,共8页Chang Jing LI Quan Yuan CHEN; Supported by Natural Science Foundation of Shandong Province,China(Grant No.ZR2015Item PA010);National Natural Science Foundation of China(Grant Nos.11526123 and 11401273); Let R be a unital ＊-ring with the unit I. Assume that R contains a symmetric idempotent P which satisfies ARP= 0 implies A = 0 and AR（I - P） = 0 implies A = 0. In this paper, it is shown that a surjective map Ф：...; 关键词：Strong skew commutativity preserving von Neumann algebras prime rings

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