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INVOLUTION: 作品数：104被引量：157H指数：6; 导出分析报告; 相关作者：芦天亮陈平华卢树华王德威屠乃威更多>>; 相关机构：中国人民公安大学辽宁工程技术大学上海电机学院广东工业大学更多>>; 相关期刊：更多>>; 相关基金：国家自然科学基金国家教育部博士点基金河北省自然科学基金国家社会科学基金更多>>

Varieties of Involution J-Trivial Monoids with Continuum Many Subvarieties: 《Algebra Colloquium》2024年第3期467-480,共14页Meng Gao Wenting Zhang Yanfeng Luo; supported by the National Natural Science Foundation of China(Nos.12271224,12171213,11771191);the Fundamental Research Funds for the Central Universities(No.lzujbky-2023-ey06);the Natural Science Foundation of Gansu Province(No.20JR5RA275).; In this paper,we give a suficient condition under which an involution monoid generates a variety with continuum many subvarieties.According to this result,several involution J-trivial monoids are shown to generate var...; 关键词：MONOID involution monoid VARIETY subvariety lattice of varieties

A New Class of Partial Orders: 《Algebra Colloquium》2023年第4期585-598,共14页Huihui Zhu Liyun Wu; The authors are highly grateful to the referees for their valuable comments and suggestions which greatly improved this paper.This research is supported by the National Natural Science Foundation of China(No.11801124);China Postdoctoral Science Foundation(No.2020M671068).; Let R be a unital*-ring.For any a,w,b∈R,we apply the w-core inverse to define a new class of partial orders in R,called the w-core partial order.Suppose that a,b∈R are w-core invertible.We say that a is below b unde...; 关键词：w-core inverse inverse along an element sharp partial order star partial order core partial order rings with involution

New Results on EP Elements in Rings with Involution被引量：1: 《Algebra Colloquium》2022年第1期39-52,共14页Long Wang Dijana Mosic Yuefeng Gao; The research was supported by the Ministry of Education,Science and Technological Development(grant no.174007);Republic of Serbia,and by NSF of China(11901510);NSF of Jiangsu Province of China(BK20170589);China Postdoctoral Science Foundation Funded Project(2017M611920).; In this paper,we mainly give characterizations of EP elements in terms of equations.In addition,a related notion named a central EP element is defined and investigated.Finally,we focus on characterizations of a genera...; 关键词：Moore-Penrose inverse group inverse core inverse EP element +-DMP element

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

Notes on Rings with Strong 2-Sum Property: 《Algebra Colloquium》2020年第4期821-830,共10页Yu Li Huadong Su Gaohua Tang Yiqiang Zhou; This research was supported by the Natural Science Foundation of China(grants 11661014,11661013,11961050);the Guangxi Natural Science Foundation(grant no.2016GXNSFDA380017);a Discovery Grant from NSERC of Canada(grant no.RGPIN-2016-04706).; A ring is said to satisfy the strong 2-sum property if every element is a sum of two commuting units.In this note,we present some sufficient or necessary conditions for the matrix ring over a commutative local ring to...; 关键词：(strong)2-sum property involution property unit matrix ring local ring

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

Unitary Modules for the Twisted Heisenberg—Virasoro Algebra: 《Algebra Colloquium》2019年第3期529-540,共12页Xiufu Zhang Shaobin Tan Haifeng Lian; Supported by the National Natural Science Foundation of China(Nos.11571145,11531004,11471333 and 11471268).; The conjugate-linear anti-involutions and unitary irreducible modules of the intermediate series over the twisted Heisenberg-Virasoro algebra are classified,respectively.We prove that any unitary irreducible module of...; 关键词：TWISTED Heisenberg-Virasoro algebra conjugate-linear anti-involution unitarymodule Harish-Chandra module

On π-Regular Rings with Involution: 《Algebra Colloquium》2018年第3期509-518,共10页Jian Cui Xiaobin Yin; The authors are highly grateful to the referee for many valuable comments. This research was supported by the National Natural Science Foundation of China （No. 11401009）, Anhui Provincial Natural Science Foundation （No. 1408085QA01） and Key Natural Science Foundation of Anhui Educational Committee （No. KJ2014A082）.; A ring R is π-regular if for every a in R, there is a positive integer n such that a^n R is generated by an idempotent. In this paper, we introduce the notion of π-＊-regular rings, which is the ＊-version of π-reg...; 关键词：r-regular ring π-＊-regular ring abelian ring generalized p.p. ＊-ring

Generalized Derivations in Rings with Involution: 《Algebra Colloquium》2017年第3期393-399,共7页Nadeem Ahmad Dar Abdul Nadim Khan; The main purpose of this paper is to study generalized derivations in rings with involution which behave like strong commutativity preserving mappings. In fact, we prove the following result： Let R be a noncommutativ...; 关键词：prime ring generalized derivation INVOLUTION

Skew-symmetric Elements in Nonlinear Involutions in Group Rings: 《Algebra Colloquium》2015年第2期321-332,共12页A.P. Raposo; Given an involution in a group G, it can be extended in various ways to an involution in the group ring RG, where R is a ring, not necessarily commutative. In this paper nonlinear extensions are considered and necessa...; 关键词：group ring INVOLUTION skew-symmetric element

INVOLUTION