共查询到20条相似文献,搜索用时 62 毫秒
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著名的Eisenstein判别法为寻求整系数不可约多项式提供了方法,但此判别法的三个充分条件具有一定的局限性,致使对相当多的特殊整系数不可约多项式的判断失效.在总结前人研究工作的基础上,推导能有效判断特殊不可约整系数多项式的方法,拓展原有研究结果,可拓宽判断不可约整系数多项式的工具和方法. 相似文献
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The purpose of this note is to give a representation of subdirectly irreducible Ockham algebras via a sepecial algebra G=(2^N;f);We shas that Gis a subdirectly irreducible algebra,and that any subdirectly irreducible Ockham algebra is isomorphic to a subalgebra of G. 相似文献
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讨论了分次环A,Ae和A#G*的相关性质,在A是分次忠实时,A#G*是亚直既约环当且仅当Ae是亚直既约环;在A是分次非退化时,A#G*是G亚直既约环当且仅当A是分次亚直既约环. 相似文献
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岳华 《数学的实践与认识》2003,33(6):96-104
本文证明了可分无穷维 Hilbert空间上每个有界线性算子均可写成两个强不可约算子之和 .这回答了文献 [9]中提出一个公开问题 相似文献
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确定有限域上给定周期的不可约多项式的个数以及利用低次不可约多项式构造高次不可约多项式 总被引:5,自引:0,他引:5
主要利用较献[4]更为简明的方法证明了有关有限域Fq(q为一个素数幂)上的以l为周期的n次不可约多项式的个数的结论。另外,本结合结合初等数论知识得到了前面这个结论的几个推论,并对利用低次不可约多项式构造高次不可约多项式进行了研究。 相似文献
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ANoteontheSubdirectlyIrreducibleckhamAlgebras¥FangJie(Departmentofmathematics,ZhongshanUniversity,Guangzhou,510275)Abstract:T... 相似文献
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图G的一个k-边染色是一个映射ψ:E(G)→{1,2…k},使得每一对相邻边x和y,有ψ(x)≠ψ(y,).G的边色数χ'(G)是使得G有一个k-边染色的最小的整数k.本文证明了:如果G是一个最大度为6能嵌入到欧拉示性数非负的曲面的图,且满足下列条件之一,那么χ'(G)=6:(1)不含带弦4-圈;(2)同时不含带弦5-圈和带弦6-圈. 相似文献
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It is proved that a ring (0) is projective-free precisely whenit has invariant basis number and every idempotent matrix notequal to I is non-full. 2000 Mathematics Subject Classification16D40. 相似文献
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Mitsuhiro Miyazaki 《代数通讯》2013,41(9):2894-2900
Let K be a field, D a finite distributive lattice and P the set of all join-irreducible elements of D. We show that if {y ∈ P | y ≥ x} is pure for any x ∈ P, then the Hibi ring ? K (D) is level. Using this result and the argument of sagbi basis theory, we show that the homogeneous coordinate rings of Schubert subvarieties of Grassmannians are level. 相似文献
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J. Cel 《Discrete and Computational Geometry》2000,23(1):147-154
Let S be a nonempty proper subset of R
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. A point y in cl, S is clearly R -visible from a point x via S if and only if there exists a neighborhood N of y such that S contains all closed half-lines emanating from x through points of . The following Krasnosel'skii-type theorem is proved—if every two boundary points of S are clearly R -visible via S from a common point, then S is a cone. This improves an earlier result with the number three and answers an open question.
Received March 18, 1998, and in revised form June 2, 1999. 相似文献
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In order to present the results of this note, we begin withsome definitions. Consider a differential system [formula] where IR is an open interval, and f(t, x), (t, x)IxRn, is acontinuous vector function with continuous first derivativesfr/xs, r, s=1, 2, ..., n. Let Dxf(t, x), (t, x)IxRn, denote the Jacobi matrix of f(t,x), with respect to the variables x1, ..., xn. Let x(t, t0,x0), tI(t0, x0) denote the maximal solution of the system (1)through the point (t0, x0)IxRn. For two vectors x, yRn, we use the notations x>y and x>>yaccording to the following definitions: [formula] An nxn matrix A=(ars) is called reducible if n2 and there existsa partition [formula] (p1, q1, p+q=n) such that [formula] The matrix A is called irreducible if n=1, or if n2 and A isnot reducible. The system (1) is called strongly monotone if for any t0I, x1,x2Rn [formula] holds for all t>t0 as long as both solutions x(t, t0, xi),i=1, 2, are defined. The system is called cooperative if forall (t, x)IxRn the off-diagonal elements of the nxn matrix Dxf(t,x) are nonnegative. 1991 Mathematics Subject Classification34A30, 34C99. 相似文献
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We characterize polynomials f with integer coefficients such that a ring with unity R is necessarily commutative if f(R) = 0, in the sense that f(x) = 0 for all ${x \in R}$ . Such a polynomial must be primitive, and for primitive polynomials the condition f(R) = 0 forces R to have nonzero characteristic. The task is then reduced to considering rings of prime power characteristic and the main step towards the full characterization is a characterization of polynomials f such that R is necessarily commutative if f(R) = 0 and R is a unital ring of characteristic some power of a fixed prime p. 相似文献
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