Annali dell''Universita di Ferrara最新文献_第7页

Commutators and generalized derivations acting on Lie ideals in prime rings 作用于质环中列理想的换元和广义导数

Annali dell''Universita di Ferrara Pub Date : 2024-05-23 DOI: 10.1007/s11565-024-00521-9

Basudeb Dhara

{"title":"Commutators and generalized derivations acting on Lie ideals in prime rings","authors":"Basudeb Dhara","doi":"10.1007/s11565-024-00521-9","DOIUrl":"10.1007/s11565-024-00521-9","url":null,"abstract":"<div>Let R be a prime ring of char ((R)ne 2, 3) and L a noncentral Lie ideal of R. Let U be the Utumi quotient ring of R and (C=Z(U)) be the extended centroid of R. Suppose that F, G, H are three generalized derivations of R such that <div><div>$$[F(u),u]G(u)+u[H(u),u]=0$$</div></div>for all (uin L). Then either R satisfies standard polynomial (s_4(x_1,x_2,x_3,x_4)) or one of the following holds: <ol>\u0000 <li>\u0000 1.\u0000 \u0000 There exist (alpha , beta in C) such that (F(x)= alpha x) and (H(x)= beta x) for all ( xin R);\u0000 \u0000 </li>\u0000 <li>\u0000 2.\u0000 \u0000 There exists (beta in C) such that (G(x)=0), (H(x)=beta x) for all ( xin R);\u0000 \u0000 </li>\u0000 <li>\u0000 3.\u0000 \u0000 There exist (a,bin U) and (0ne mu in C) such that (F(x)=xa), (G(x)=mu x), (H(x)=bx) for all ( xin R) with (mu a+bin C).\u0000 \u0000 </li>\u0000 </ol></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"70 4","pages":"1509 - 1526"},"PeriodicalIF":0.0,"publicationDate":"2024-05-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141103398","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

The graded ring database for Fano 3-folds and the Bogomolov stability bound 法诺 3 折叠的梯度环数据库和博戈莫洛夫稳定性约束

Annali dell''Universita di Ferrara Pub Date : 2024-05-23 DOI: 10.1007/s11565-024-00518-4

Kaori Suzuki

{"title":"The graded ring database for Fano 3-folds and the Bogomolov stability bound","authors":"Kaori Suzuki","doi":"10.1007/s11565-024-00518-4","DOIUrl":"10.1007/s11565-024-00518-4","url":null,"abstract":"<div>My paper (Suzuki 2003) produced some computer routines in Magma (Bosma et al. J Symb Comp 24:235–265, 1997) for the numerical invariants of Fano 3-folds, and used them in particular to determine the maximum value (f=19) of the Fano index. As a byproduct of the research, extensive data associated with all possible sets of singular points of Fano 3-folds with Fano indices greater than or equal to 2 was obtained. Collaborative research with Gavin Brown developed an improved version of the Magma program. The data discussed above was added to the Graded Ring Data Base (Brown et al. 2015) at the University of Kent. Subsequently, GRDB, now located to the University of Warwick, recently modified its interface to accommodate additional conditions, facilitating a more refined selection of Fano manifolds. In this context, we focus on the inequality known as the Bogomolov stability bound. We present a list of candidates for Fano 3-folds that do not satisfy these conditions and propose the conjecture that they do not exist.This result has been independently obtained in Liu and Liu (2023).</div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"70 3","pages":"1023 - 1035"},"PeriodicalIF":0.0,"publicationDate":"2024-05-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11565-024-00518-4.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141103454","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

Some models for bubbling of (log) Kähler–Einstein metrics 凯勒-爱因斯坦（对数）度量冒泡的一些模型

Annali dell''Universita di Ferrara Pub Date : 2024-05-21 DOI: 10.1007/s11565-024-00520-w

Martin de Borbon, Cristiano Spotti

引用次数: 0

Edge volume: 2018–2022 边缘量：2018-2022 年

Annali dell''Universita di Ferrara Pub Date : 2024-05-20 DOI: 10.1007/s11565-024-00519-3

Massimiliano Mella, Ivan Cheltsov

引用次数: 0

Topics in group schemes and surfaces in positive characteristic 正特征群方案和曲面专题

Annali dell''Universita di Ferrara Pub Date : 2024-05-16 DOI: 10.1007/s11565-024-00514-8

Nikolaos Tziolas

引用次数: 0

Boas-type theorems for the free metaplectic transform 自由元映射变换的博厄斯型定理

Annali dell''Universita di Ferrara Pub Date : 2024-05-15 DOI: 10.1007/s11565-024-00522-8

Abdelghani El Gargati, Imane Berkak, El Mehdi Loualid

引用次数: 0

On maximizing curves of degree 7 论 7 度曲线的最大化

Annali dell''Universita di Ferrara Pub Date : 2024-05-13 DOI: 10.1007/s11565-024-00523-7

Izabela Czarnota

引用次数: 0

Approximation by semi-exponential Post-Widder operators 半指数后维德算子近似法

Annali dell''Universita di Ferrara Pub Date : 2024-05-08 DOI: 10.1007/s11565-024-00517-5

Brijesh Kumar Grewal, Meenu Rani

引用次数: 0

K-stability of Fano 3-folds of Picard rank 3 and degree 20 皮卡等级 3 和 20 度的法诺 3 折叠的 K 稳定性

Annali dell''Universita di Ferrara Pub Date : 2024-04-29 DOI: 10.1007/s11565-024-00516-6

Elena Denisova

引用次数: 0

Effect of the zeros of initial term non-gap polynomials of higher index on the uniqueness of meromorphic functions 高指数初始项非空隙多项式的零点对合态函数唯一性的影响

Annali dell''Universita di Ferrara Pub Date : 2024-04-23 DOI: 10.1007/s11565-024-00513-9

Abhijit Banerjee, Jhilik Banerjee

引用次数: 0