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- See invertible matrix for more.More generally, a square matrix over a commutative ring R is invertible if and only if its determinant is invertible in R. 更一般地，一元素在一可交换环R内的方阵是可逆的若且唯若其行列式在R是可逆的。
- matrix over a commutative ring 交换环上矩阵
- Let D_(l+1)(R) be the orthogonal Lie algebra over a commutative ring R with 2 invertible and m_1 an l+ 1 upper triangular matrix. 设D_(l+1)(R)表示2为单位交换环R上的2(l+1)阶正交李代数。 若记m_1是R上的l+1阶三角矩阵，而是D_(l+1)(R)可解子代数。
- L_Z associated with finite-dimensional simpleLie algebras and affine Lie algebras of type k =1 over a commutative ring withidentity were defined by J. Hurley in 1969 and 1981 respectively, and theirideal structures were worked out there. Hurley在1969年与1981年分别对有限维复单李代数及k=1的仿射李代数L研究了相应的Chevalley代数L_R=RL_z的理想结构。
- Derivations and Automorphisms of a Matrix Algebra over a Commutative Ring 可换环上一类矩阵代数的导子和自同构
- A Property of Matrices Over a Commutative Semiring 交换半环上矩阵的一个性质
- The Derivation of One Type of Intermediate Matix Ring over a Commutative Ring 交换环上一类矩阵环的导子
- A class of subgroups of the stabilizer of a direct sum component in the linear group over a commutative ring 交换环上线性群中直和因子定驻子群的一类子群
- The commutators of transvections for the general linear group over a commutative ring with one 交换环上线性群的平延换位子
- A commutative ring with unity having no proper divisors of zero, that is, where the product of nonzero elements cannot be zero. 整环，整域：一个单位元素都不是零的真约数，即，非零元素的乘积不为零的交换环
- Let R be a commutative ring without zero-divisor,R is called a quasi-valuation ring,if it contains a non-zero element a such that any non-zero element of R divides a power of a. 一个无零因子的交换环R称为拟赋值环,如果R中有一个非零元素a,使得R的任意非零元都整除a的某个方幂。
- In this paper,we prove some characterizations of the EP_r matrix,the EGP_r matrix,and normal EP matrix over a skew field with an involution. 本文证得了对合体上 EPr 矩阵、EGPr 矩阵、正规 EP 矩阵的某些刻划。
- A proof that any row-column-finite infinite matrix over a sfield is normal equivalent with an unique classical form is given. 摘要证明了除环上每个行列有限的无限方阵必与唯一的正则范式正则等价。
- The purpose of this paper is to introduce the notion of valuations on a mudule over a commutative ring.Some basic results on valuations of a module are established. 摘要针对交换环上的模引进赋值这一概念，并在此基础上建立模上赋值的一些基本结论。
- Several Properties of Adjoint Matrix over A Ring 交换环上的伴随矩阵的一个注记
- He sat frowning over a crossword puzzle. 他坐着皱着眉头在思考纵横字谜。
- An interesting question is to give conditions such that trace equality of similar matrices holds for matrices over a non-commutative algebra or ring. 有趣的问题是给定一个条件使得相似矩阵的迹相等对于非交换代数或非交换环上的矩阵成立。
- Compound adjoint matrices over commutative rings 交换环上的复合伴随矩阵
- The army won a miraculous victory over a much stronger enemy. 这支军队击败了比他们强大得多的敌军，赢得了奇迹般的胜利。
- A commuter train travels over a flooded underpass in Garfield, N.J. 新泽西州加菲尔德地区铁道桥下的道路已经被洪水淹没。
