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>>
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...
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...
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 ...
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...
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.
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...
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 ...
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...
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...