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给出了两个幺半群的半直积及圈积为右(左)逆半群的充分必要条件,从而推广了[2]中两个幺半群的半幺直积和圈积为逆半群的充分必要条件. 相似文献
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评析问题212不能仅用"右乘"来定义逆矩阵本问题共收稿6篇.来稿观点不一,但一致认为:原文中仅由AB=E2(即仅由A"右乘"B来定义A的逆矩阵A-1=B)推不出BA=AB.事实上,按 相似文献
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为了进一步讨论Quantale内部结构之间的对应关系,我们首先引入了左(右)蕴含核映射的概念;其次讨论了左(右)蕴含核映射的一些性质,左(右)蕴含Quantale商的等价刻画,并且给出了一个映射是左(右)蕴含核映射的等式刻画.最后,证明了在预Girard quantale上左(右)蕴含核映射与右(左)理想余核之间是一一对应关系. 相似文献
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研究了由右$c$-正则元确定的一类新的群逆,将之称为右$c$-群逆.证明了每个右$c$-群可逆元都是群可逆的,并通过反例说明了群可逆元未必是右$c$-群可逆的.给出了右$c$-群可逆元是群可逆元的条件,并对右$c$-群可逆元的强clean分解进行了研究.作为应用,从右$c$-群逆的角度对abelian环和直接有限环给出了一些新刻画. 相似文献
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正则左S-系是von Neumann正则半群的自然推广,逆左S-系是逆半群的自然推广.作为左逆半群的自然推广,本文引入了L-逆左系的概念,并用来刻画了几类幺半群,如左逆幺半群,逆幺半群,adequate幺半群等. 相似文献
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一个被遗漏的Hermite标准形的重要性质及应用 总被引:2,自引:0,他引:2
孙卓明 《数学的实践与认识》2007,37(11):185-189
为了使Hermite标准形得到更好的应用,给出了左、右单位矩阵的概念,并指出了矩阵的Hermite行(列)标准形与该矩阵的右(左)单位矩阵的关系,且将其灵活地运用到矩阵广义逆及矩阵方程的讨论中去. 相似文献
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正则左S-系是von neumann正则半群的自然推广,逆左S-系是逆半群的自然扩广,作为左逆半群的自然推广,本文引入了L-逆左系的概念,并用来刻画了几类幺半群,如左逆幺半群,逆幺半群,adequate幺半群等。 相似文献
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该文在点标拓扑空间范畴中引进了(i,p)-同伦逆和群同伦逆的概念,并讨论了它们存在的条件和性质. 相似文献
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Let S be a locally inverse semigroup with an inverse transversal S°. In this paper, we construct an amenable partial order on S by an R-cone. Conversely, every amenable partial order on S can be constructed in this way. We give some properties of a locally inverse semigroup with a Clifford transversal. In particular, if S is a locally inverse semigroup with a Clifford transversal, then there is an order-preserving bijection from the set of all amenable partial orders on S to the set of all R-cones of S. 相似文献
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It is well known that there exists the smallest inverse semigroup congruence on an orthodox semigroup. We denote by Y the smallest inverse semigroup congruence on an orthodox semigroup. Let S be a fight inverse semigroup. We construct partial orders on S by some kind of its subsemigroups and uncover that partial orders on S have close contact with partial orders on S/Y. 相似文献
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G. Tao 《Journal of Optimization Theory and Applications》1997,95(3):677-691
As an application of an optimization technique, a gradient-projection method is employed to derive an adaptive algorithm for updating the parameters of an inverse which is designed to cancel the effects of actuator uncertainties in a control system. The actuator uncertainty is parametrized by a set of unknown parameters which belong to a parameter region. A desirable inverse is implemented with adaptive estimates of the actuator parameters. Minimizing an estimation error, a gradient algorithm is used to update such parameter estimates. To ensure that the parameter estimates also belong to the parameter region, the adaptive update law is designed with parameter projection. With such an adaptive inverse, desired control system performance can be achieved despite the presence of the actuator uncertainties. 相似文献
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对于从线性空间到赋范线性空间的线性算子T引入右有界拟线性内逆的概念.在算子值域的闭包R(T)为切比雪夫子空间的条件下,给出右度量内逆的表示.证得:如果算子的值域R(T)非闭且闭包R(T)为切比雪夫的,则必存在不同的右有界拟线性内逆. 相似文献
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A normal orthodox semigroup is an orthodox semigroup whose idempotent elements form a normal band.We deal with congruces on a normal orthodox semigroup with an iverse transversal .A structure theorem for such semigroup is obtained.Munn(1966)gave a fundamental inverse semigroup Following Munn‘s idea ,we give a fundamental normal orthodox semigroup with an inverse transversal. 相似文献
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We study the skew inverse Laurent-serieswise Armendariz (or simply, SIL-Armendariz) condition on R, a generalization of the standard Armendariz condition from polynomials to skew inverse Laurent series. We study relations between the set of annihilators in R and the set of annihilators in R((x ?1; α)). Among applications, we show that a number of interesting properties of a SIL-Armendariz ring R such as the Baer and the α-quasi Baer property transfer to its skew inverse Laurent series extensions R((x ?1; α)) and vice versa. For an α-weakly rigid ring R, R((x ?1; α)) is a left p.q.-Baer ring if and only if R is left p.q.-Baer and every countable subset of S ?(R) has a generalized countable join in R. Various types of examples of SIL-Armendariz rings is provided. 相似文献