共查询到17条相似文献,搜索用时 46 毫秒
1.
2.
3.
This paper characterizes the multiplication operator semigroup of semiring semigroup by using the tensor product of semigroups, and by using the endomorphism semigroup, and considers some properties of the multiplication operator semigroup of semiring semigroup. 相似文献
4.
探讨交换半环上的上三角矩阵代数的Jordan同构.证明如果R是一个交换半环且R中仅有幂等元0与1,那么从R上的上三角矩阵代数Tn(R)到R上的任意代数的每一个Jordan同构要么是一个同构要么是一个反同构. 相似文献
5.
6.
设R是含单位元1和可逆元2的可换环,Tn+1(R)表示R上(n+1)×(n+1)级上三角矩阵全体所形成的矩阵代数.本文证明了T(R)的每一个若当自同构都可唯一的分解为图自同构,内自同构和对角自同构的乘积. 相似文献
7.
8.
保持矩阵迹的乘法映射 总被引:5,自引:0,他引:5
设F是一个域 ,An,是一个乘法半群且满足 {aEij|i,j=1 ,2… ,n ,a∈F} An (F) ,其中Mn(F)定义F上所有n×n矩阵组成的乘法半群 ,本文证明了一个结果 :若f:AnF是一个保迹映射 ,则存在一个可逆阵P∈Mn(F)使得f(A) =PAP- 1 , A∈An由此推广了 [1 ]的一个结果 . 相似文献
9.
11.
Jan Okniński 《代数通讯》2013,41(10):4422-4426
A new family of identities satisfied by the semigroups U n (𝕋) of n × n upper triangular tropical matrices is constructed and an elementary proof is given. 相似文献
12.
Let S be an antinegative commutative semiring without zero divisors and M_n(S)be the semiring of all n×n matrices over S.For a linear operator L on M_n(S),we say that L strongly preserves nilpotent matrices in M_n(S)if for any A∈M_n(S),A is nilpotent if and only if L(A)is nilpotent.In this paper,the linear operators that strongly preserve nilpotent matrices over S are characterized. 相似文献
13.
Xing Tao Wang 《代数通讯》2013,41(4):1133-1140
Over a 2-torsionfree commutative ring R with identity, the algebra of all strictly upper triangular n + 1 by n + 1 matrices is denoted by n 1. In this article, we prove that any Jordan automorphism of n 1 can be uniquely decomposed as a product of a graph automorphism, a diagonal automorphism, a central automorphism and an inner automorphism for n ≥ 3. In the cases n = 1, 2, we also give a decomposition for any Jordan automorphism of n 1. 相似文献
14.
Let Nn(R)be the algebra consisting of all strictly upper triangular n × n matrices over a commutative ring R with the identity.An R-bilinear map φ :Nn(R)×Nn(R)→ Nn(R)is called a biderivation if it is a derivation with respect to both arguments.In this paper,we define the notions of central biderivation and extremal biderivation of Nn(R),and prove that any biderivation of Nn(R)can be decomposed as a sum of an inner biderivation,central biderivation and extremal biderivation for n ≥ 5. 相似文献
15.
设S是无零因子的非负交换半环或者有限生成布尔代数,μn(S)记S上的矩阵集合.本文确定了μn(S)上的强保持矩阵M-P逆的线性算子半群Nn(S)的结构. 相似文献
16.
Martin Lorenz 《Algebras and Representation Theory》2001,4(3):293-304
Let G be a finite group acting by automorphism on a lattice A, and hence on the group algebra S=k[A]. The algebra of G-invariants in S is called an algebra of multiplicative invariants. We present an explicit version of a result of Farkas stating that multiplicative invariants of finite reflection groups are semigroup algebras. 相似文献
17.
用乘法半群上的线性方程组来求解晶体原子间对势反演的逆问题.这种方法是解决此类问题的一般性方法.本文还给出了一个计算实例. 相似文献