1) reduced ring
约化环
1.
In this paper we claim that some special 4-by-4 upper triangular matrix ring over reduced ring R is an Armendariz ring.
证明了约化环R上的两类特殊上三角形矩阵环是Armendariz环和斜Armendariz环。
2.
In this paper,we prove that:(1) If ring R is both reduced and Morphic,then R is left(right) hereditary;(2) A reduced ring R is Morphic ring if and only if every right R-module is flat;(3) A reduced ring R is Morphic ring if and only if every cyclic left R-module is GP-injective,if and only if R is left PP and GP-injective.
文章研究了M orphic环的一些性质,证明了:(1)约化的Morphic环是左(右)遗传的;(2)约化环R是Morphic环■M∈MR,M是平坦模;(3)约化环R是Morphic环■每个循环左R-模是GP-内射的R是左PP环和左GP-内射环。
3.
In this paper, the authors consider semicommutative properties of some subrings of the n×nupper triangular matrix ring T_n(R)over a reduced ring, including A_n(R)(n=2k+1≥3),and A_n(R)+RE_ 1,k(n=2k≥4).
研究了约化环R上的n阶上三角矩阵子环An(R)(n=2k+1≥3),An(R)+RE1,k(n=2k≥4)的半交换性。
2) cyclic reduction
循环约化
3) Reduced near-ring
约化近环
4) lock cyclic reduction
块循环约化
1.
When A is a M-matrix block tridiagonal systems,we apply incomplete block cyclic reduction to get a precondition,then get a solution with generalized PCG methods.
对M阵用块循环约化后,给出新的分裂方式,该分裂构造的选代收敛,其收敛速度比Jacobi等一般迭代收敛快,且有很好的并行性。
5) cyclic reduction method
循环约化法
6) cycle reduction
循环约化<缩减>
补充资料:1,4-环己烷化二甲醇化二乙烯基醚
CAS: 17351-75-6
分子式: C12H20O2
中文名称: 1,4-环己烷化二甲醇化二乙烯基醚
英文名称: 1,4-cyclohexane dimethanol divinyl ether;1,4-bis((vinyloxy)methyl)cyclohexane;1,4-dimethanolcyclohexane divinyl ether;1,4-bis((ethenyloxy)methyl)-cyclohexan;1,4-bis[(ethenyloxy)methyl]-cyclohexan
分子式: C12H20O2
中文名称: 1,4-环己烷化二甲醇化二乙烯基醚
英文名称: 1,4-cyclohexane dimethanol divinyl ether;1,4-bis((vinyloxy)methyl)cyclohexane;1,4-dimethanolcyclohexane divinyl ether;1,4-bis((ethenyloxy)methyl)-cyclohexan;1,4-bis[(ethenyloxy)methyl]-cyclohexan
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