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Beitrage zur Algebra und Geometrie-Contributions to Algebra and Geometry最新文献

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Semiaffine stable planes 半机械人计划
Q4 MATHEMATICS Pub Date : 2023-11-04 DOI: 10.1007/s13366-023-00720-z
Rainer Löwen, Markus J. Stroppel
Abstract A locally compact stable plane of positive topological dimension will be called semiaffine if for every line L and every point p not in L there is at most one line passing through p and disjoint from L . We show that then the plane is either an affine or projective plane or a punctured projective plane (i.e., a projective plane with one point deleted). We also compare this with the situation in general linear spaces (without topology), where P. Dembowski showed that the analogue of our main result is true for finite spaces but fails in general.
如果在L以外的每条直线L和每一个点p至少有一条直线经过p且与L不相交,则称为半仿射的局部紧稳定平面。我们证明了这个平面要么是仿射平面,要么是射影平面,要么是刺破的射影平面(即去掉一个点的射影平面)。我们还将其与一般线性空间(没有拓扑)的情况进行了比较,其中P. Dembowski表明,我们的主要结果的模拟对于有限空间是正确的,但在一般情况下是失败的。
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引用次数: 0
Exploring virtual versions of H-supplemented and NS-modules 探索h -补充和ns模块的虚拟版本
Q4 MATHEMATICS Pub Date : 2023-10-24 DOI: 10.1007/s13366-023-00719-6
Samira Asgari, Yahya Talebi, Ali Reza Moniri Hamzekolaee
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引用次数: 0
Brauer groups and Picard groups of the moduli of parabolic vector bundles on a nodal curve 节曲线上抛物矢量束模的Brauer群和Picard群
Q4 MATHEMATICS Pub Date : 2023-10-12 DOI: 10.1007/s13366-023-00718-7
Usha N. Bhosle
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引用次数: 0
Generalized derivations with nilpotent values on Lie ideals in semiprime rings 半素数环上李理想上幂零值的广义导数
Q4 MATHEMATICS Pub Date : 2023-09-27 DOI: 10.1007/s13366-023-00715-w
Francesco Ammendolia, Giovanni Scudo
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引用次数: 0
On homogeneous $$eta $$-Einstein almost cosymplectic manifolds 齐次$$eta $$ -爱因斯坦几乎余辛流形
Q4 MATHEMATICS Pub Date : 2023-09-22 DOI: 10.1007/s13366-023-00717-8
Antonio Lotta
Abstract We prove that every compact, homogeneous $$eta $$ η -Einstein almost cosymplectic manifold is a cosymplectic manifold.
摘要证明了每一个紧致齐次$$eta $$ η -爱因斯坦几乎协辛流形都是协辛流形。
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引用次数: 0
S-fusible rings S-fusible环
Q4 MATHEMATICS Pub Date : 2023-09-20 DOI: 10.1007/s13366-023-00716-9
Mohamed Es-saidi, Najib Mahdou, Ünsal Tekir
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引用次数: 0
On pseudo-Hermitian quadratic nilpotent lie algebras 关于伪厄密二次幂零李代数
Q4 MATHEMATICS Pub Date : 2023-09-14 DOI: 10.1007/s13366-023-00714-x
Mustapha Bachaou, Ignacio Bajo, Mohamed Louzari
Abstract We study nilpotent Lie algebras endowed with a complex structure and a quadratic structure which is pseudo-Hermitian for the given complex structure. We propose several methods to construct such Lie algebras and describe a method of double extension by planes to get an inductive description of all of them. As an application, we give a complete classification of nilpotent quadratic Lie algebras where the metric is Lorentz-Hermitian and we fully classify all nilpotent pseudo-Hermitian quadratic Lie algebras up to dimension 8 and their inequivalent pseudo-Hermitian metrics.
摘要研究了具有复结构的幂零李代数和具有给定复结构的伪厄密二次结构的幂零李代数。我们提出了几种构造这类李代数的方法,并描述了一种平面双扩展的方法,得到了它们的归纳描述。作为应用,我们给出了度量为lorenz - hermite的幂零二次李代数的完全分类,并对8维以下的所有幂零伪厄米二次李代数及其等价伪厄米李代数进行了完全分类。
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引用次数: 0
Some thoughts and experiments on Bergman’s compact amalgamation problem 关于Bergman紧致合并问题的一些思考和实验
Q4 MATHEMATICS Pub Date : 2023-09-13 DOI: 10.1007/s13366-023-00709-8
Michael Joswig, Mario Kummer, Andreas Thom, Claudia He Yun
Abstract We study the question whether copies of $$S^{1}$$ S 1 in $$textrm{SU}(3)$$ SU ( 3 ) can be amalgamated in a compact group. This is the simplest instance of a fundamental open problem in the theory of compact groups raised by George Bergman in 1987. Considerable computational experiments suggest that the answer is positive in this case. We obtain a positive answer for a relaxed problem using theoretical considerations.
摘要研究了$$textrm{SU}(3)$$ SU(3)中$$S^{1}$$ s1的拷贝能否合并成紧群的问题。这是乔治·伯格曼在1987年提出的紧群理论中一个基本开放问题的最简单实例。大量的计算实验表明,在这种情况下,答案是肯定的。我们利用理论方法得到了一个松弛问题的正解。
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引用次数: 0
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Beitrage zur Algebra und Geometrie-Contributions to Algebra and Geometry
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