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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
Beitrage zur Algebra und Geometrie-Contributions to Algebra and Geometry Pub Date : 2023-11-04 DOI: 10.1007/s13366-023-00720-z
Rainer Löwen, Markus J. Stroppel
{"title":"Semiaffine stable planes","authors":"Rainer Löwen, Markus J. Stroppel","doi":"10.1007/s13366-023-00720-z","DOIUrl":"https://doi.org/10.1007/s13366-023-00720-z","url":null,"abstract":"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.","PeriodicalId":44678,"journal":{"name":"Beitrage zur Algebra und Geometrie-Contributions to Algebra and Geometry","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-11-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135773387","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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
Beitrage zur Algebra und Geometrie-Contributions to Algebra and Geometry Pub Date : 2023-10-24 DOI: 10.1007/s13366-023-00719-6
Samira Asgari, Yahya Talebi, Ali Reza Moniri Hamzekolaee
{"title":"Exploring virtual versions of H-supplemented and NS-modules","authors":"Samira Asgari, Yahya Talebi, Ali Reza Moniri Hamzekolaee","doi":"10.1007/s13366-023-00719-6","DOIUrl":"https://doi.org/10.1007/s13366-023-00719-6","url":null,"abstract":"","PeriodicalId":44678,"journal":{"name":"Beitrage zur Algebra und Geometrie-Contributions to Algebra and Geometry","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135316000","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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
Beitrage zur Algebra und Geometrie-Contributions to Algebra and Geometry Pub Date : 2023-10-12 DOI: 10.1007/s13366-023-00718-7
Usha N. Bhosle
{"title":"Brauer groups and Picard groups of the moduli of parabolic vector bundles on a nodal curve","authors":"Usha N. Bhosle","doi":"10.1007/s13366-023-00718-7","DOIUrl":"https://doi.org/10.1007/s13366-023-00718-7","url":null,"abstract":"","PeriodicalId":44678,"journal":{"name":"Beitrage zur Algebra und Geometrie-Contributions to Algebra and Geometry","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135969438","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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
Beitrage zur Algebra und Geometrie-Contributions to Algebra and Geometry Pub Date : 2023-09-27 DOI: 10.1007/s13366-023-00715-w
Francesco Ammendolia, Giovanni Scudo
{"title":"Generalized derivations with nilpotent values on Lie ideals in semiprime rings","authors":"Francesco Ammendolia, Giovanni Scudo","doi":"10.1007/s13366-023-00715-w","DOIUrl":"https://doi.org/10.1007/s13366-023-00715-w","url":null,"abstract":"","PeriodicalId":44678,"journal":{"name":"Beitrage zur Algebra und Geometrie-Contributions to Algebra and Geometry","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-09-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135537674","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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
Beitrage zur Algebra und Geometrie-Contributions to Algebra and Geometry Pub Date : 2023-09-22 DOI: 10.1007/s13366-023-00717-8
Antonio Lotta
{"title":"On homogeneous $$eta $$-Einstein almost cosymplectic manifolds","authors":"Antonio Lotta","doi":"10.1007/s13366-023-00717-8","DOIUrl":"https://doi.org/10.1007/s13366-023-00717-8","url":null,"abstract":"Abstract We prove that every compact, homogeneous $$eta $$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mi>η</mml:mi> </mml:math> -Einstein almost cosymplectic manifold is a cosymplectic manifold.","PeriodicalId":44678,"journal":{"name":"Beitrage zur Algebra und Geometrie-Contributions to Algebra and Geometry","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-09-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136060810","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
S-fusible rings S-fusible环
Beitrage zur Algebra und Geometrie-Contributions to Algebra and Geometry Pub Date : 2023-09-20 DOI: 10.1007/s13366-023-00716-9
Mohamed Es-saidi, Najib Mahdou, Ünsal Tekir
{"title":"S-fusible rings","authors":"Mohamed Es-saidi, Najib Mahdou, Ünsal Tekir","doi":"10.1007/s13366-023-00716-9","DOIUrl":"https://doi.org/10.1007/s13366-023-00716-9","url":null,"abstract":"","PeriodicalId":44678,"journal":{"name":"Beitrage zur Algebra und Geometrie-Contributions to Algebra and Geometry","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-09-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136313824","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On pseudo-Hermitian quadratic nilpotent lie algebras 关于伪厄密二次幂零李代数
Beitrage zur Algebra und Geometrie-Contributions to Algebra and Geometry Pub Date : 2023-09-14 DOI: 10.1007/s13366-023-00714-x
Mustapha Bachaou, Ignacio Bajo, Mohamed Louzari
{"title":"On pseudo-Hermitian quadratic nilpotent lie algebras","authors":"Mustapha Bachaou, Ignacio Bajo, Mohamed Louzari","doi":"10.1007/s13366-023-00714-x","DOIUrl":"https://doi.org/10.1007/s13366-023-00714-x","url":null,"abstract":"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.","PeriodicalId":44678,"journal":{"name":"Beitrage zur Algebra und Geometrie-Contributions to Algebra and Geometry","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-09-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134910947","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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
Beitrage zur Algebra und Geometrie-Contributions to Algebra and Geometry Pub Date : 2023-09-13 DOI: 10.1007/s13366-023-00709-8
Michael Joswig, Mario Kummer, Andreas Thom, Claudia He Yun
{"title":"Some thoughts and experiments on Bergman’s compact amalgamation problem","authors":"Michael Joswig, Mario Kummer, Andreas Thom, Claudia He Yun","doi":"10.1007/s13366-023-00709-8","DOIUrl":"https://doi.org/10.1007/s13366-023-00709-8","url":null,"abstract":"Abstract We study the question whether copies of $$S^{1}$$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:msup> <mml:mi>S</mml:mi> <mml:mn>1</mml:mn> </mml:msup> </mml:math> in $$textrm{SU}(3)$$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mrow> <mml:mtext>SU</mml:mtext> <mml:mo>(</mml:mo> <mml:mn>3</mml:mn> <mml:mo>)</mml:mo> </mml:mrow> </mml:math> 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.","PeriodicalId":44678,"journal":{"name":"Beitrage zur Algebra und Geometrie-Contributions to Algebra and Geometry","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-09-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135734946","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Factorization of quaternionic polynomials of bi-degree (n,1). 双度（n,1）四元多项式的因式分解。
IF 0.5
Beitrage zur Algebra und Geometrie-Contributions to Algebra and Geometry Pub Date : 2023-01-01 Epub Date: 2022-02-22 DOI: 10.1007/s13366-022-00629-z
Johanna Lercher, Daniel Scharler, Hans-Peter Schröcker, Johannes Siegele
{"title":"Factorization of quaternionic polynomials of bi-degree (n,1).","authors":"Johanna Lercher, Daniel Scharler, Hans-Peter Schröcker, Johannes Siegele","doi":"10.1007/s13366-022-00629-z","DOIUrl":"10.1007/s13366-022-00629-z","url":null,"abstract":"<p><p>We consider polynomials of bi-degree (<i>n</i>, 1) over the skew field of quaternions where the indeterminates commute with each other and with all coefficients. Polynomials of this type do not generally admit factorizations. We recall a necessary and sufficient condition for existence of a factorization with univariate linear factors that has originally been stated by Skopenkov and Krasauskas. Such a factorization is, in general, non-unique by known factorization results for univariate quaternionic polynomials. We unveil existence of bivariate polynomials with non-unique factorizations that cannot be explained in this way and characterize them geometrically and algebraically. Existence of factorizations is related to the existence of special rulings of two different types (left/right) on the ruled surface parameterized by the bivariate polynomial in the projective space over the quaternions. Special non-uniqueness in above sense can be explained algebraically by commutation properties of factors in suitable factorizations. A necessary geometric condition for this to happen is degeneration to a point of at least one of the left/right rulings.</p>","PeriodicalId":44678,"journal":{"name":"Beitrage zur Algebra und Geometrie-Contributions to Algebra and Geometry","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9944413/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"10780714","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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