The NSF(10971024)of China;the Specialized Research Fund(200802860024)for the Doctoral Program of Higher Education;the NSF(BK2010393)of Jiangsu Province
The commuting graph of an arbitrary ring R, denoted by Г(R), is a graph whose vertices are all non-central elements of R, and two distinct vertices a and b are adjacent if and only if ab = ba. In this paper, we inv...
The National Natural Science Foundation of China(No.10971024);the Specialized Research Fund for the Doctoral Program of Higher Education(No.200802860024);the Natural Science Foundation of Jiangsu Province(No.BK2010393)
An element a of a ring R is called uniquely strongly clean if it is the sum of an idempotent and a unit that commute, and in addition, this expression is unique. R is called uniquely strongly clean if every element of...
The National Natural Science Foundation of China (No.10971024);the Specialized Research Fund for the Doctoral Program of Higher Education ( No. 200802860024);the Natural Science Foundation of Jiangsu Province ( No. BK2010393 );Scientific Research Foundation of Guangxi University ( No. XJZ100246)
A module pair (C, T) over an Artin algebra A is called a tilting pair if both C and T are selforthogonal modules and the conditions T e ada C and C ∈ add T hold. The duality on a tilting pair is investigated to dis...
Supported by the National Natural Science Foundation of China (Grant Nos.10971024;10826036);the Specialized Research Fund for the Doctoral Program of Higher Education (Grant No.200802860024);the Natural Science Foundation of Jiangsu Province (Grant No.BK2010393);the Scientific Research Foundation of Guangxi University (Grant No.XJZ100246)
Tilting pair was introduced by Miyashita in 2001 as a generalization of tilting module. In this paper, we construct a tilting left Endh(C)-right Endh(T)-bimodule for a given tilting pairs (C,T) in modh, where A ...
The National Natural Science Foundation of China (No.10971024);Specialized Research Fund for the Doctoral Program of Higher Education (No. 200802860024)
An R-module M is called Gorenstein FP-injective if there is an exact sequence …→E1→E0→E^0→E^1→… of FP-injective R-modules with M=ker(E^0→E^1) and such that Hom(E,-) leaves the sequence exact whenever E is ...
supported by the National Natural Science Foundation of China(10871042,10971024);the Specialized Research Fund for the Doctoral Program of Higher Education(200802860024)
The National Natural Science Foundation of China (No.10971024);Specialized Research Fund for the Doctoral Program of Higher Education (No.200802860024)
A module is called a co-*∞-module if it is co-selfsmall and ∞-quasi-injective. The properties and characterizations are investigated. When a module U is a co-*∞-module, the functor Hom RU(-,U)is exact in Copre...
The NSF (10871042,10971024) of China;the Specialized Research Fund (200802860024) for the Doctoral Program of Higher Education
A ring R is called linearly McCoy if whenever linear polynomials f(x), g(x) e R[x]/{0) satisfy f(x)g(x) : O, then there exist nonzero elements r, s ∈ R such that f(x)r : sg(x) =0. For a ring endomorph...