IDEMPOTENTS

作品数:18被引量:16H指数:2
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相关作者:周媛兰陈建龙朱辉辉更多>>
相关机构:中山大学东南大学更多>>
相关期刊:《Algebra Colloquium》《Progress in Natural Science:Materials International》《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教育部博士点基金江西省自然科学基金更多>>
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Transformation Semigroup of Alternating Nonnegative Integers
《Advances in Pure Mathematics》2022年第11期614-623,共10页Adenike Olusola Adeniji Janet Ifiok Obafemi 
Set of integers, Zn is split into even-odd parts. The even part is arranged in ways, while the odd part fixes one point at a time to compliment the even part thereby forming the semigroup, AZn. T...
关键词:Green’s Relations Partial Order Relation IDEMPOTENTS Band GENERATOR 
Skew Incidence Rings and the Isomorphism Problem
《Algebra Colloquium》2022年第3期419-426,共8页Érica Z.Fornaroli 
Let X be a finite partially ordered set,R an associative unital ring andσan endomorphism of R.We describe some properties of the skew incidence ring I(X,R,σ)such as invertible elements,idempotents,the Jacobson radic...
关键词:units IDEMPOTENTS Jacobson radical CENTER ISOMORPHISMS 
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 
Representations of the Drazin inverse involving idempotents in a ring被引量:1
《Journal of Southeast University(English Edition)》2015年第3期427-430,共4页朱辉辉 陈建龙 
The National Natural Science Foundation of China(No.11371089);the Specialized Research Fund for the Doctoral Program of Higher Education(No.20120092110020);the Scientific Innovation Research of College Graduates in Jiangsu Province(No.CXLX13-072);the Scientific Research Foundation of Graduate School of Southeast University;the Fundamental Research Funds for the Central Universities(No.22420135011)
An element a of a ring R is called Drazin invertible if there exists b∈R such that ab =ba,bab =b,and a -a2 b is nilpotent.The element b above is unique if it exists and is denoted as aD .The equivalent conditions of ...
关键词:IDEMPOTENT Drazin inverse spectral idempotent 
On Ordered rpp Semigroups with Max-idempotents被引量:1
《Algebra Colloquium》2015年第1期11-22,共12页Xiaojiang Guo Chenchen Ren K.P. Shum 
In this paper, we establish a structure theorem of naturally ordered rpp semigroups with max-idempotents. Results on naturally ordered semigroups with max- idempotents in the literature are extended and amplified. Som...
关键词:naturally ordered semigroup rpp semigroup greatest inverse maximal idem-potent 
ON THE INVERTIBILITY OF HILBERT SPACE IDEMPOTENTS被引量:2
《Acta Mathematica Scientia》2014年第2期523-536,共14页邓春源 
supported by the National Natural Science Foundation of China under grant No.11171222;the Doctoral Program of the Ministry of Education under grant No.20094407120001
This note is to present some results on the group invertibility of linear combina- tions of idempotents when the difference of two idempotents is group invertible.
关键词:Group inverse linear combination of idempotents 
Congruences on Orthodox Semirings Whose Additive Idempotents Satisfy Permutation Identities
《Journal of Mathematical Research with Applications》2013年第5期569-577,共9页Shiju PAN Yuanlan ZHOU Ziqiang CHENG 
Supported by the National Natural Science Foundation of China(Grant Nos.10961014;11101354);the Natural Science Foundation of Jiangxi Province;the Science Foundation of the Education Department of Jiangxi Province
The investigation of congruences on generalized inverse semigroups is initiated. Following some properties of such semigroups, the congruences on an orthodox semiring whose idempotents satisfy permutation identities a...
关键词:inverse semiring congruence band semiring. 
Principally Quasi-Baer Modules被引量:3
《Journal of Mathematical Research and Exposition》2009年第5期823-830,共8页LIU Qiong OUYANG Bai Yu WU Tong Suo 
Foundation item: the National Natural Science Foundation of China (No. 10671122).
In this paper,we give the equivalent characterizations of principally quasi-Baer modules,and show that any direct summand of a principally quasi-Baer module inherits the property and any finite direct sum of mutually ...
关键词:principally quasi-Baer rings (modules) endomorphism rings ANNIHILATORS semicentral idempotents. 
On the Index of Fredholm Pairs of Idempotents被引量:1
《Acta Mathematica Sinica,English Series》2009年第4期679-686,共8页Yue Qing WANG Hong Ke DU Yan Ni DOU 
Supported by the National Natural Science Foundation of China (10871224)
Using the technique of block-operators, in this note, we prove that if P and Q are idempotents and (P - Q)^2n+1 is in the trace class, then (P - Q)^2m+1 is also in the trace class and tr(P - Q)^2m+1 = dim(k...
关键词:FREDHOLM orthogonal projection positive operator 
Generalized n-idempotents and Hyper-generalized n-idempotents被引量:2
《Northeastern Mathematical Journal》2006年第4期387-394,共8页邓春源 李启慧 杜鸿科 
The NNSF(10571113)of Shaanxi Province,Chins.
For an integer n ≥2, we say that an operator A is an n-idempotent if A^n = A; A is a generalized n-idempotent if A^n = A^*; A is a hyper-generalized n. idempotent if A^n = A^+. The set of all n-idempotents, all gen...
关键词:IDEMPOTENT generalized inverse normal operator 
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