The Experts below are selected from a list of 288 Experts worldwide ranked by ideXlab platform
Zhudeng Wang - One of the best experts on this subject based on the ideXlab platform.
-
Primary TL -submodules and P -primary TL -submodules
Fuzzy Sets and Systems, 1997Co-Authors: Zhudeng WangAbstract:Abstract In this paper, we introduce the concepts of primary TL-submodules and P-primary TL-submodules of M, where M is a module (i.e., left module) over a given commutative Ring with Identity and T an arbitrary infinitely ∨-distributive t-norm on a given complete Brouwerian lattice L. We also give complete characterization of primary TL-submodules and study the primary decomposition of TL-submodules.
Wang Dengyin - One of the best experts on this subject based on the ideXlab platform.
-
multiplicative semigroup automorphisms of the strictly upper triangular matrices over a commutative Ring
Advances in Mathematics, 2011Co-Authors: O U Shikun, Wang DengyinAbstract:Let R be an arbitrary commutative Ring with Identity, and Nn(R )b e the multiplicative semigroup consisting of all n × n strictly upper triangular matrices over R.T he aim of this paper is to give an explicit description of any automorphism of the semigroup Nn(R).
O U Shikun - One of the best experts on this subject based on the ideXlab platform.
-
multiplicative semigroup automorphisms of the strictly upper triangular matrices over a commutative Ring
Advances in Mathematics, 2011Co-Authors: O U Shikun, Wang DengyinAbstract:Let R be an arbitrary commutative Ring with Identity, and Nn(R )b e the multiplicative semigroup consisting of all n × n strictly upper triangular matrices over R.T he aim of this paper is to give an explicit description of any automorphism of the semigroup Nn(R).
Dengyin Wang - One of the best experts on this subject based on the ideXlab platform.
-
derivations of the lie algebra of strictly upper triangular matrices over a commutative Ring
Linear Algebra and its Applications, 2007Co-Authors: Shikun Ou, Dengyin WangAbstract:Abstract Let R be an arbitrary commutative Ring with Identity, gl( n , R ) the general linear Lie algebra consisting of all n × n matrices over R , N ( n , R ) the subalgebra of gl( n , R ) consisting of all strictly upper triangular ones. In this paper, we give an explicit description of any derivations of N ( n , R ).
-
automorphisms of a linear lie algebra over a commutative Ring
Linear Algebra and its Applications, 2007Co-Authors: Dengyin Wang, Qiu Yu, Yanxia ZhaoAbstract:Abstract Suppose that m ⩾ 5 and that R is a commutative Ring with Identity in which 2 is invertible. This paper determines all automorphisms of the standard Borel subalgebra of the orthogonal Lie algebra o (2 m , R ).
-
Automorphisms of the standard Borel subalgebra of Lie algebra of Cm type over a commutative Ring
Linear and Multilinear Algebra, 2007Co-Authors: Dengyin WangAbstract:All automorphisms of the standard Borel subalgebra of the symplectic algebra sp(2m, R) are determined, provided that R is a commutative Ring with Identity, 2 is invertible in R.
-
derivations of the parabolic subalgebras of the general linear lie algebra over a commutative Ring
Linear Algebra and its Applications, 2006Co-Authors: Dengyin Wang, Qiu YuAbstract:Let R be an arbitrary commutative Ring with Identity, gl(n, R) the general linear Lie algebra over R. The aim of this paper is to give an explicit description of the derivation algebras of the parabolic subalgebras of gl(n, R).
M A Chebotar - One of the best experts on this subject based on the ideXlab platform.
-
On polynomial Rings over nil Rings in several variables and the central closure of prime nil Rings
Israel Journal of Mathematics, 2017Co-Authors: M A Chebotar, Pjek-hwee Lee, Edmund PuczyłowskiAbstract:We prove that the Ring of polynomials in several commuting indeterminates over a nil Ring cannot be homomorphically mapped onto a Ring with Identity, i.e. it is Brown-McCoy radical. It answers a question posed by Puczylowski and Smoktunowicz. We also show that the central closure of a prime nil Ring cannot be a simple Ring with Identity, solving a problem due to Beidar.
-
jordan isomorphisms of triangular matrix algebras over a connected commutative Ring
Linear Algebra and its Applications, 2000Co-Authors: K I Beidar, Matej Brešar, M A ChebotarAbstract:Abstract Let C be a 2-torsionfree commutative Ring with Identity 1, and let T r ( C ) , r⩾2 , be the algebra of all upper triangular r×r ( r⩾2 ) matrices over C . Then C contains no idempotents except 0 and 1 if and only if every Jordan isomorphism of T r ( C ) onto an arbitrary algebra over C is either an isomorphism or an anti-isomorphism.
