共查询到20条相似文献,搜索用时 15 毫秒
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Jorge Martínez 《代数通讯》2013,41(12):3948-3964
In an algebraic frame L, the complete sublattice CP(L) generated by the polars of L is studied, in comparison with FP(L), the subframe generated by the polars. It is shown, by an example from the theory of ?-groups, that these are distinct, in general. The relationship between FP(L), CP(L), and other established constructs, closely related to the boolean algebra of polars, is also studied. 相似文献
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Wang Dingguo 《代数通讯》2013,41(2):717-726
Recently, there are a number of well known theorems which characterize rings in terms of injective modules (cf. [2], [3], [5] and [8]). The purpose of this paper is to give general theorems which show that some similar results remain true when many other classes of general injective modules are considered in place of injective modules. Our results encompass several well known results by Huynh and Smith, Liu, and Xue. In particular we answer negatively the question of Yue Chi Ming [11] and an example is given to show that E—injective modules form an intermediate class between continuous and quasi-continuous modules(cf. Example 3). 相似文献
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Yinghong Xu 《Linear algebra and its applications》2012,436(9):3618-3633
In this paper, we investigate the properties of a special kind of periodic Jacobi matrices. We show that the solution of the inverse problem for periodic Jacobi matrices is unique if and only if the matrix is of that special kind. Moreover, we present an algorithm to construct the solution of that inverse problem and give some illustrative examples. Finally, we perform a stability analysis of the algorithm. 相似文献
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一类特殊的对称的块循环矩阵的特征值 总被引:2,自引:0,他引:2
WangLigong LiXueliang HoedeC 《高校应用数学学报(英文版)》2004,19(1):17-26
In this paper, the spectrum and characteristic polynomial for a special kind of symmetric block circulant matrices are given. 相似文献
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V. Ya. Prudnikov 《Journal of Applied and Industrial Mathematics》2007,1(2):217-224
It is proved that the infimum of the ratio of a concave functional and a convex functional is attained at the extreme points of a compact convex set in a normed linear space. A criterion for the membership of a given element in the set of extreme points is proposed and the existence of a strongly convex functional on a compact set is shown. 相似文献
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Anderson D. D. Johnson E. W. Spellerberg II Richard L. 《Periodica Mathematica Hungarica》2002,44(1):111-126
Let L be an r-lattice, i.e., a modular multiplicative lattice that is compactly generated, principally generated, and has greatest element 1 compact. We consider certain subsets of L consisting of regular elements:
there is a compact element
with
there is a principal element
is a principal element with (0:X_{\alpha })=0\} . The first three subsets L_{f}, L_{sr}, and L_{r} are augmented filters
on L, i.e.,
is a multiplicatively closed subset of $L$ with $A\in
and $B\geq A$ with $B\in L$ implies $B\in
and hence are sublattices of $L$ closed under multiplication. We first consider the more general situation of augmented filters on $L.$ These results are then applied to study the four previously defined subsets for $L$ an $r$-lattice or Noether lattice (i.e., an $r$-lattice with ACC). Finally, we give a brief discussion of how the results for augmented lattices can be applied to subsets of $L$ which are regular with respect to an $L$-module. 相似文献
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Srichan Arworn 《Southeast Asian Bulletin of Mathematics》2001,25(2):191-200
To characterize all complete sublattices of a given complete lattice is an important problem. In this paper we will give three different characterizations of complete sublattices of a complete lattice by using closure operators, kernel operators, and by using Galoisclosed subrelations.The research was supported by a grant of the faculty of Science ChiangMai University Thailand. 相似文献
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We study pulse systems with Markov switchings, consider the averaging principle, and analyze the stability of the averaged equation.Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 47, No. 10, pp. 1376–1386, October, 1995. 相似文献
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Grätzer asked in 1971 for a characterization of sublattices of Tamari lattices. A natural candidate was coined by McKenzie in 1972 with the notion of a bounded homomorphic image of a free lattice—in short, bounded lattice. Urquhart proved in 1978 that every Tamari lattice is bounded (thus so are its sublattices). Geyer conjectured in 1994 that every finite bounded lattice embeds into some Tamari lattice. 相似文献
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研究了SF-环与P-内射环的关系,构造了SF-环成为P-内射环的一系列条件.证明了SF-环R只要满足其中之一:R的每个极大左理想是有限生成的;特殊右零化子的降链条件;对R的每个极大左理想M,l(M)在R中是本质的,那么R就是P-内射环.在此基础上,利用一定条件下SF-环的P-内射性,发展了SF-环的若干新结果,这些结果部分地拓展了有关文献中的结果. 相似文献