Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas最新文献_第10页

Monotonicity and convexity (concavity) properties for zero-balanced hypergeometric function 零平衡超几何函数的单调性和凸性（凹性）性质

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas Pub Date : 2024-01-31 DOI: 10.1007/s13398-024-01555-6

Tie-Hong Zhao, Miao-Kun Wang

引用次数: 0

Differential gradient estimates for nonlinear parabolic equations under integral Ricci curvature bounds 积分里奇曲率约束下非线性抛物方程的微分梯度估计

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas Pub Date : 2024-01-29 DOI: 10.1007/s13398-024-01552-9

Shahroud Azami

引用次数: 0

Helix surfaces for Berger-like metrics on the anti-de Sitter space 反德西特空间伯杰类度量的螺旋面

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas Pub Date : 2024-01-29 DOI: 10.1007/s13398-024-01550-x

Giovanni Calvaruso, Irene I. Onnis, Lorenzo Pellegrino, Daria Uccheddu

引用次数: 0

Seiberg–Witten differentials on the Hitchin base 希钦基地上的西伯格-威滕差速器

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas Pub Date : 2024-01-29 DOI: 10.1007/s13398-024-01551-w

Ugo Bruzzo, Peter Dalakov

引用次数: 0

Hall classes of groups 厅级组

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas Pub Date : 2024-01-18 DOI: 10.1007/s13398-023-01549-w

{"title":"Hall classes of groups","authors":"","doi":"10.1007/s13398-023-01549-w","DOIUrl":"https://doi.org/10.1007/s13398-023-01549-w","url":null,"abstract":"<h3>Abstract</h3> In 1958, Philip Hall (Ill J Math 2:787–801, 1958) proved that if a group G has a nilpotent normal subgroup N such that (G/N') is nilpotent, then G is nilpotent. The scope of Hall’s nilpotency criterion is not restricted to group theory, and in fact similar statements hold for Lie algebras and more generally for algebraically coherent semiabelian categories (see Chao in Math Z 103:40–42, 1968; Gray in Adv Math 349:911–919, 2019; Stitzinger in Ill J Math 22:499–505, 1978). We say that a group class ({mathfrak {X}}) is a Hall class if it contains every group G admitting a nilpotent normal subgroup N such that (G/N') belongs to ({mathfrak {X}}) . Thus, Hall’s nilpotency criterion just asserts that nilpotent groups form a Hall class. Many other relevant classes of groups have been proved to be Hall classes; for example, Plotkin (Sov Math Dokl 2:471–474, 1961) and Robinson (Math Z 107:225–231, 1968) proved that locally nilpotent groups and hypercentral groups form Hall classes. Note that these generalizations also hold if groups are replaced by other algebraic structures, for example Lie algebras (see Stitzinger in Ill J Math 22:499–505, 1978). The aim of this paper is to develop a general theory of Hall classes of groups, that could later be reasonably extended to Lie algebras. Among other results, we prove that many natural types of generalized nilpotent groups form Hall classes, and we give examples showing in particular that the class of groups having a finite term in the lower central series is not a Hall class, even if we restrict to the universe of linear groups.","PeriodicalId":21293,"journal":{"name":"Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139496212","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 structures of normal forms of complex points of small $${mathcal {C}}^{2}$$ -perturbations of real 4-manifolds embedded in a complex 3-manifold 论小$${mathcal {C}}^{2}$ -扰动的实4-manifolds嵌入复3-manifolds的复点的正常形式结构

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas Pub Date : 2024-01-16 DOI: 10.1007/s13398-023-01545-0

Tadej Starčič

引用次数: 0

The isomorphism problem for basic modules and the divisibility profile of the algebra of polynomials 基本模块的同构问题和多项式代数的可分性剖面

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas Pub Date : 2024-01-16 DOI: 10.1007/s13398-023-01547-y

P. Aydoğdu, C. A. Arellano, S. R. López-Permouth, R. Muhammad, M. Zailaee

{"title":"The isomorphism problem for basic modules and the divisibility profile of the algebra of polynomials","authors":"P. Aydoğdu, C. A. Arellano, S. R. López-Permouth, R. Muhammad, M. Zailaee","doi":"10.1007/s13398-023-01547-y","DOIUrl":"https://doi.org/10.1007/s13398-023-01547-y","url":null,"abstract":"While mutual congeniality of bases is known to guarantee that basic modules from so-related bases are isomorphic, the question of what can be said about isomorphism of basic modules in general has remained open. We show that, for some algebras, basic modules may be non-isomorphic. We also show that it is possible, for some algebras, for all basic modules to be isomorphic, regardless of congeniality. In the process, and as a byproduct, we introduce the notion of domains of divisibility of modules over arbitrary rings. The mechanism employed here to differentiate non-isomorphic basic modules is by showing that they have different domains of divisibility. Domains of divisibility measure how divisible a module can be; for those cases when divisibility is equivalent to injectivity, domains of divisibility provide a way to gauge injectivity of modules as an alternative to the domains of injectivity and other mechanisms in the literature. We focus on the algebra of polynomials with one variable, and observe that F[x] has a full divisibility profile for any field F. When F is algebraically closed, we see that the direct product and the direct sum of all Pascal basic modules have the smallest divisibility domain. We also analyze the diversity of the family of basic modules as we explore how many of those divisibility domains correspond to basic modules. We show that, for an arbitrary infinite field F, F[x] has infinitely many pairwise non-isomorphic basic modules, the divisibility profile of F[x] is complete, and for an algebraically closed field F, the collection of basic modules has any subset S of F with a non-empty at most countable complement, the set ({ x + alpha | alpha notin S }) as a domain of divisibility for some basic F[x]-module.","PeriodicalId":21293,"journal":{"name":"Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas","volume":"8 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139484077","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 zeros of the regular power series of a quaternionic variable 论四元变量正幂级数的零点

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas Pub Date : 2024-01-11 DOI: 10.1007/s13398-023-01546-z

Gradimir V. Milovanović, Abdullah Mir

引用次数: 0

On Bar-Natan–van der Veen’s perturbed Gaussians 关于 Bar-Natan-van der Veen 的扰动高斯模型

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas Pub Date : 2024-01-10 DOI: 10.1007/s13398-023-01536-1

Jorge Becerra

引用次数: 0

Hamiltonian systems involving exponential growth in $${mathbb {R}}^{2}$$ with general nonlinearities 涉及 $${mathbb {R}}^{2}$ 中指数增长且具有一般非线性的哈密顿系统

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas Pub Date : 2024-01-04 DOI: 10.1007/s13398-023-01542-3

Uberlandio B. Severo, Manassés de Souza, Marta Menezes

引用次数: 0