Supported by the Open Research Fund of Key Laboratory of Intelligent Computing and Signal Processing,Ministry of Education,Anhui University.
In this paper,we studied the depth spectrum and the depth distribution of constacyclic codes over the non-chain ring R=F_(p)+vF_(p)+v^(2)F_(p),where v^(3)=v.By decomposing the linear codes C over R into the linear cod...
supported by the guidance project of scientific research plan of Educational Adminstration of Hubei Province,China(B2016162);the plan of science and technology innovation team of excellent young and middle-age of Hubei province(T201731)
We study when exchange rings are von Neumann regular. An exchange ring R with primitive factors Artinian is von Neumann regular, if the Jacobson radical of any indecomposable homomorphic image of R is T-nilpotent, and...
partially supported by the Provincial Natural Science Foundation of Anhui Province of China(KJ2017A040)
For a monoid M and an endomorphism α of a ring R, we introduce the notion of strongly M-α-reflexive rings and study its properties. For an u.p.-monoid M and a right Ore ring R with its classical right quotient ring ...
Supported by the National Natural Science Foundation of China(10961014,11101354); Supported by the Natural Science Foundation of Jiangxi Province(0611051); Supported by the Science Foundation of the Education Department of Jiangxi Province(GJ 09459)
In this paper, we discussed the property of rectangular band semiring congruence and ring congruence on a semiring and gave some characterizations and structure of rectangular ring congruence on an E-inversive semiring.
Supported by the Natural Sciences Foundation of Guangxi Province(0575052, 0640070);Supported by the Innovation Project of Guangxi Graduate Education(2006106030701M05);Supported by the Scientific Research Foundation of Guangxi Educational Committee(200707LX233
In [1], Joe Warfel investigated the diameter of a zero-divisor graph for a direct product R 1 × R 2 with respect to the diameter of the zero-divisor graph of R 1 and R 2 . But the author only considered those graphs ...
Foundation item: Supported by the Fund of Beijing Education Committee(KM200610005024); Supported by the National Natural Science Foundation of China(10671061)
We consider the sufficient and necessary conditions for the formal triangular matrix ring being right minsymmetric, right DS, semicommutative, respectively.
Supported by the NSF of Educational Department of Henan Province(200510482001)
In this paper, we introduce a practical method for obtaining the structure of thegroup of units for the ring of linear transformations of a vector space over an arbitrary field,and we give a further generalization of ...
Supported by the NSF of Educational Department of Henan Province(20025100003)
In this paper,the Jacobson radical of (R[G])^G, the fixed point subring of a group ring (R[G]) is studied. Some related properties of (R[G])^G are discussed.
The upgrade of all kinds of algebraic structures has been emphasized with the development of fuzzy mathematics.The concept of hypergroup was raised first by Prof.LI Hong_xing in [1]and HX ring was done in [2].In thi...