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Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas最新文献

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S-almost semisimple rings S 几乎半简单环
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas Pub Date : 2024-06-10 DOI: 10.1007/s13398-024-01625-9
Ayoub Bouziri
{"title":"S-almost semisimple rings","authors":"Ayoub Bouziri","doi":"10.1007/s13398-024-01625-9","DOIUrl":"https://doi.org/10.1007/s13398-024-01625-9","url":null,"abstract":"","PeriodicalId":21293,"journal":{"name":"Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas","volume":" 431","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-06-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141364574","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 the Bishop–Phelps–Bollobás property for positive functionals 关于正函数的毕晓普-费尔普斯-波洛巴性质
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas Pub Date : 2024-06-08 DOI: 10.1007/s13398-024-01588-x
María D. Acosta, M. Soleimani-Mourchehkhorti
{"title":"On the Bishop–Phelps–Bollobás property for positive functionals","authors":"María D. Acosta, M. Soleimani-Mourchehkhorti","doi":"10.1007/s13398-024-01588-x","DOIUrl":"https://doi.org/10.1007/s13398-024-01588-x","url":null,"abstract":"","PeriodicalId":21293,"journal":{"name":"Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas","volume":" 2","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-06-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141369501","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
Parametrizing W-weighted BT inverse to obtain the W-weighted q-BT inverse 参数化 W 加权 BT 逆，获得 W 加权 q-BT 逆
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas Pub Date : 2024-06-04 DOI: 10.1007/s13398-024-01620-0
D. E. Ferreyra, N. Thome, C. Torigino
{"title":"Parametrizing W-weighted BT inverse to obtain the W-weighted q-BT inverse","authors":"D. E. Ferreyra, N. Thome, C. Torigino","doi":"10.1007/s13398-024-01620-0","DOIUrl":"https://doi.org/10.1007/s13398-024-01620-0","url":null,"abstract":"<p>The core-EP and BT inverses for rectangular matrices were studied recently in the literature. The main aim of this paper is to unify both concepts by means of a new kind of generalized inverse called <i>W</i>-weighted <i>q</i>-BT inverse. We analyze its existence and uniqueness by considering an adequate matrix system. Basic properties and some interesting characterizations are proved for this new weighted generalized inverse. Also, we give a canonical form of the <i>W</i>-weighted <i>q</i>-BT inverse by means of the weighted core-EP decomposition.</p>","PeriodicalId":21293,"journal":{"name":"Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas","volume":"25 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-06-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141257742","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
Correction to the bibliography: On minimal Gorenstein Hilbert functions 书目更正：关于最小戈伦斯坦希尔伯特函数
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas Pub Date : 2024-06-04 DOI: 10.1007/s13398-024-01619-7
Lenin Bezerra, Rodrigo Gondim, Giovanna Ilardi, Giuseppe Zappalà
{"title":"Correction to the bibliography: On minimal Gorenstein Hilbert functions","authors":"Lenin Bezerra, Rodrigo Gondim, Giovanna Ilardi, Giuseppe Zappalà","doi":"10.1007/s13398-024-01619-7","DOIUrl":"https://doi.org/10.1007/s13398-024-01619-7","url":null,"abstract":"","PeriodicalId":21293,"journal":{"name":"Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas","volume":"8 20","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-06-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141267976","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
Blow-up analysis on line bundles over a compact Riemann surface with smooth boundary 具有光滑边界的紧凑黎曼曲面上线束的膨胀分析
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas Pub Date : 2024-05-22 DOI: 10.1007/s13398-024-01615-x
Mengjie Zhang
{"title":"Blow-up analysis on line bundles over a compact Riemann surface with smooth boundary","authors":"Mengjie Zhang","doi":"10.1007/s13398-024-01615-x","DOIUrl":"https://doi.org/10.1007/s13398-024-01615-x","url":null,"abstract":"","PeriodicalId":21293,"journal":{"name":"Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas","volume":"66 46","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141110207","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 some hypersurfaces of $${mathbb {S}}^2times {mathbb {S}}^2$$ and $${mathbb {H}}^2times {mathbb {H}}^2$$ 在 $${mathbb {S}}^2times {mathbb {S}}^2$ 和 $${mathbb {H}}^2times {mathbb {H}}^2$ 的一些超曲面上
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas Pub Date : 2024-05-20 DOI: 10.1007/s13398-024-01612-0
Zejun Hu, Xi Zhang
{"title":"On some hypersurfaces of $${mathbb {S}}^2times {mathbb {S}}^2$$ and $${mathbb {H}}^2times {mathbb {H}}^2$$","authors":"Zejun Hu, Xi Zhang","doi":"10.1007/s13398-024-01612-0","DOIUrl":"https://doi.org/10.1007/s13398-024-01612-0","url":null,"abstract":"","PeriodicalId":21293,"journal":{"name":"Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas","volume":"69 8","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141123267","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
Hilbert evolution algebras, weighted digraphs, and nilpotency 希尔伯特演化代数、加权数图和无势性
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas Pub Date : 2024-05-20 DOI: 10.1007/s13398-024-01616-w
Paula Cadavid, Pablo M. Rodriguez, Sebastian J. Vidal
{"title":"Hilbert evolution algebras, weighted digraphs, and nilpotency","authors":"Paula Cadavid, Pablo M. Rodriguez, Sebastian J. Vidal","doi":"10.1007/s13398-024-01616-w","DOIUrl":"https://doi.org/10.1007/s13398-024-01616-w","url":null,"abstract":"<p>Hilbert evolution algebras generalize evolution algebras through a framework of Hilbert spaces. In this work we focus on infinite-dimensional Hilbert evolution algebras and their representation through a suitably defined weighted digraph. By means of studying such a digraph we obtain new properties for these structures extending well-known results related to the nilpotency of finite dimensional evolution algebras. We show that differently from what happens for the finite dimensional evolution algebras, the notions of nil and nilpotency are not equivalent for Hilbert evolution algebras. Furthermore, we exhibit necessary and sufficient conditions under which a given Hilbert evolution algebra is nil or nilpotent. Our approach includes illustrative examples.</p>","PeriodicalId":21293,"journal":{"name":"Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas","volume":"50 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141153394","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
From sums of divisors to partition congruences 从除数之和到分割全等
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas Pub Date : 2024-05-18 DOI: 10.1007/s13398-024-01617-9
Mircea Merca
{"title":"From sums of divisors to partition congruences","authors":"Mircea Merca","doi":"10.1007/s13398-024-01617-9","DOIUrl":"https://doi.org/10.1007/s13398-024-01617-9","url":null,"abstract":"<p>Let <i>z</i> be a complex number. For any positive integer <i>n</i> it is well known that the sum of the <i>z</i>th powers of the positive divisors of <i>n</i> can be computed without knowing all the divisors of <i>n</i>, if we take into account the factorization of <i>n</i>. In this paper, we rely on the integer partitions of <i>n</i> in order to investigate computational methods for <span>(sum _{d|n} (pm 1)^{d+1},d^z)</span>, <span>(sum _{d|n} (-1)^{n/d+1},d^z)</span> and <span>(sum _{d|n} (-1)^{n/d+d},d^z)</span>. To compute these sums of divisors of <i>n</i>, it is sufficient to know the multiplicity of 1 in each partition involved in the computational process. Our methods do not require knowing the divisors of <i>n</i> or the factorization of <i>n</i>. New congruences involving Euler’s partition function <i>p</i>(<i>n</i>) are experimentally discovered in this context.</p>","PeriodicalId":21293,"journal":{"name":"Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas","volume":"27 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141059259","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
Correction: Inheritance of quasinilpontency and Drazin invertibility between a matrix and its entry 更正：矩阵及其条目之间的类ilpontency和Drazin可逆性的继承性
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas Pub Date : 2024-05-17 DOI: 10.1007/s13398-024-01618-8
D. Cvetković-Ilić, O. Baksalary, Honglin Zou
{"title":"Correction: Inheritance of quasinilpontency and Drazin invertibility between a matrix and its entry","authors":"D. Cvetković-Ilić, O. Baksalary, Honglin Zou","doi":"10.1007/s13398-024-01618-8","DOIUrl":"https://doi.org/10.1007/s13398-024-01618-8","url":null,"abstract":"","PeriodicalId":21293,"journal":{"name":"Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas","volume":"49 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140965835","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
Regularity results for solutions to elliptic obstacle problems in limit cases 极限情况下椭圆障碍问题解的正则性结果
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas Pub Date : 2024-05-16 DOI: 10.1007/s13398-024-01608-w
Fernando Farroni, Gianluigi Manzo
{"title":"Regularity results for solutions to elliptic obstacle problems in limit cases","authors":"Fernando Farroni, Gianluigi Manzo","doi":"10.1007/s13398-024-01608-w","DOIUrl":"https://doi.org/10.1007/s13398-024-01608-w","url":null,"abstract":"","PeriodicalId":21293,"journal":{"name":"Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas","volume":"52 17","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140970900","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
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