共查询到18条相似文献,搜索用时 46 毫秒
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提出了强拟Armendariz环的概念,给出了强Armendariz环和强拟Armendariz环上的一些结果. 相似文献
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将优化系统的概念推广应用至切代数,并以一个二阶非线性演化方程为例,给出了方程所容许的切对称,建立了切对称的一维优化系统.并利用优化系统对所研究的方程进行了对称约化,得到了与不等价对称相对应的约化方程和不变解. 相似文献
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A ring R is called a left (right) SF-ring if all simple left (right) R-modules are flat. It is known that von Neumann regular rings are left and right SF-rings. In this paper, we study the regularity of right SF-rings and prove that if R is a right SF-ring whose all maximal (essential) right ideals are GW-ideals, then R is regular. 相似文献
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对环R的一个自同态α,通过引入α-弱Armendariz环和α-弱拟Armendariz环研究了R相对于α的弱Armendariz性质.这两类环是对弱Armendariz环和弱拟Armendariz环的进一步推广,为研究环的弱Armendariz性质提供了新思路.本文对这两类环给出了一些刻画,构造了一些所需的例子和反例,统一和推广了一些已知的研究结果. 相似文献
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Let R be a ring with identity. The polynomial ring over R is denoted by R[x] with x its indeterminate. It is shown that polynomial rings over symmetric rings need not be symmetric by an example. 相似文献
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Let R be a ring with identity. The polynomial ring over R is denoted by R[x] with x its indeterminate. It is shown that polynomial rings over symmetric rings need not be symmetric by an example. 相似文献
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为了统一交换环和约化环的层表示,Lambek引进了Symmetric环.继续symmetric环的研究,定义引入了强symmetric环的概念,研究它的一些扩张性质.证明环R是强symmetric环当且仅当R[x]是强symmetric环当且仅当R[x;x~(-1)]是强symmetric环.也证明对于右Ore环R的经典右商环Q,R是强symmetric环当且仅当Q是强symmetric环. 相似文献
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Osnel Broche Cristo 《代数通讯》2013,41(9):3347-3356
Let RG denote the group ring of a group G over a commutative ring with unity R. Given a homomorphism σ:G → {± 1} and an involution ? of the group G, an oriented invoultion σ? of RG is defined in a natural way. We characterize when the set of symmetric elements under this involution is a subring. This gives a unified setting for earlier work of several authors. 相似文献
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Hanxing Lin 《代数通讯》2013,41(2):388-394
We show that an arbitrary Hochschild extension of a reduced ring by a two-sided ideal is symmetric and reversible, and that any Hochschild extension of a clean ring by an arbitrary bimodule is clean. This generalizes a result of Kim and Lee, and provides many examples of clean rings. 相似文献
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Let K be an infinite field of characteristic different from 2, and G a group. Under suitable restrictions upon G, we classify the groups such that the symmetric units of KG satisfy the solvability identity (x 1, x 2,…, x 2 n ) o = 1, for some n. 相似文献