We generalize the rank of matrices over a division ring to the B-rank of matrices over a ringwithidentity and study properties for the B-rank of matrices over a ringwithidentity.
我们将体上矩阵的秩推广为含幺环上矩阵的B-秩，并研究了含幺环上矩阵的B—秩的性质。
2
On commutative ringwith the identity, the definition of affine Lie algebras was given by applying the means of generator and defining relation.
在有单位元的交换环上，可应用生成元和定义关系的方法给出仿型李代数的定义。
3
We give a new characterization of weakly primary rings withidentity and conditions that a weakly primary domain is a valuation ring or quasi-valuation ring.