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We consider linear systems with unspecified parameters that lie between given upper and lower bounds. Except for a few special cases, the computation of many quantities of interest for such systems ca...
Abstract: Let $I$ be a squarefree monomial ideal of a polynomial ring $S$. In this paper, we prove that the arithmetical rank of $I$ is equal to the projective dimension of $S/I$ when one of the follo...
The k-secant degree is studied with a combinatorial approach. A planar toric degeneration of any projective toric surface X corresponds to a regular unimodular trian-gulation D of the polytope definin...
It is known that every planar graph has a planar embedding where edges are represented by non-crossing straight-line segments. We study the planar slope number, i.e., the minimum number of distinct ed...
We compare a heuristic count of components of the center variety in degree 3 with the equivalent count obtained from known families.From this comparison we conjecture that more than 100 unknown compon...
Geometry of the locus of polynomials of degree 4 with iterative roots     Geometry  polynomials  iterative roots       font style='font-size:12px;'> 2010/11/23
We study polynomial iterative roots of polynomials and describe the locus of complex polynomials of degree 4 admitting a polynomial iterative square root.
We compute all dynamical degrees of monomial maps. Our approach is based on the isomorphism between the polytope algebra of P. McMullen and the universal cohomology of complete toric varieties.
Assume that the coefficients of a polynomial in a complex variable are Laurent polynomials in some complex parameters. The parameter space (a complex torus) splits into strata corresponding to differ...
In a recent contribution, Tˇarnˇauceanu has introduced the subgroup commutativity degree of a finite group,adapting to the context of the lattice theory some ideas and some techniques, which were know...
Bounding an index by the largest character degree of a solvable group      Index  Character Degree  p-radical       font style='font-size:12px;'> 2010/12/14
In this paper, we show that if p is a prime and G is a p-solvable group, then |G: Op(G)|p  (b(G)p/p)1/(p−1) where b(G) is the largest character degree of G. If p is an odd prime that is not a M...
Classification of finite groups is a central problem in theory of groups.Even though finite abelian groups have been completely classified, a lot still remains to be done as far as non-abelian groups ...
On four normlized table algebras generated by a faithful nonreal element of degree 3           font style='font-size:12px;'> 2007/7/28
期刊信息 篇名 On four normlized table algebras generated by a faithful nonreal element of degree 3 语种 英文 撰写或编译 撰写 作者 陈贵云,Z.Arad 第一作者单位 西南师范大学 刊物名称 Journal of Algebra, 283:2(2005) 页面 457-484 出版日期 2005年 月 日 文...

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