发布求助
文献互助 智能选刊 最新文献

Extracta Mathematicae最新文献

筛选
英文 中文
Results on Lie ideals of prime ringswith homoderivations 关于质环的列理想与同模化的结果
Extracta Mathematicae Pub Date : 2023-12-08 DOI: 10.17398/2605-5686.38.2.125
Extracta Mathematicae Volumen, A. Sarikaya, ¨O. G¨olbas¸i
{"title":"Results on Lie ideals of prime ringswith homoderivations","authors":"Extracta Mathematicae Volumen, A. Sarikaya, ¨O. G¨olbas¸i","doi":"10.17398/2605-5686.38.2.125","DOIUrl":"https://doi.org/10.17398/2605-5686.38.2.125","url":null,"abstract":"Let R be a prime ring of characteristic not 2 and U be a noncentral square closed Lie ideal of R. An additive mapping Hon R is called a homoderivation if H(xy) =H(x)H(y)+H(x)y+xH(y)for all x, y∈R. In this paper we investigate homoderivations satisfying certain differential identitieson square closed Lie ideals of prime rings.","PeriodicalId":33668,"journal":{"name":"Extracta Mathematicae","volume":"83 3","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139011000","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
Tensorial and Hadamard product inequalities for functions of selfadjoint operators in Hilbert spaces in terms of Kantorovich ratio 以康托洛维奇比率表示的希尔伯特空间中自相关算子函数的张量和哈达玛积不等式
Extracta Mathematicae Pub Date : 2023-12-01 DOI: 10.17398/2605-5686.38.2.237
S.S. Dragomir
{"title":"Tensorial and Hadamard product inequalities for functions of selfadjoint operators in Hilbert spaces in terms of Kantorovich ratio","authors":"S.S. Dragomir","doi":"10.17398/2605-5686.38.2.237","DOIUrl":"https://doi.org/10.17398/2605-5686.38.2.237","url":null,"abstract":"Let H be a Hilbert space. In this paper we show among others that, if f, g are continuous on the interval I with \u00000 <γ ≤ f (t)/g (t)≤ Γ for t ∈ I \u0000and if A and B are selfadjoint operators with Sp (A), Sp (B) ⊂ I, then \u0000[f1−ν(A)g ν(A)] ⊗ [f ν(B)g 1−ν(B)] ≤ (1 − ν) f(A) ⊗ g (B) + νg(A) ⊗ f(B) \u0000                             ≤[(γ + Γ)2/4γΓ ]R [f1−ν (A) g ν(A)] ⊗ [f ν(B) g1−ν (B)]. \u0000The above inequalities also hold for the Hadamard product “ ◦ ” instead of tensorial product “ ⊗ ”.","PeriodicalId":33668,"journal":{"name":"Extracta Mathematicae","volume":"27 ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139014492","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
Radon-Nikodýmification of arbitrary measure spaces 任意度量空间的拉顿-尼科代化
Extracta Mathematicae Pub Date : 2023-12-01 DOI: 10.17398/2605-5686.38.2.139
T. De Pauw, P. Bouafia
{"title":"Radon-Nikodýmification of arbitrary measure spaces","authors":"T. De Pauw, P. Bouafia","doi":"10.17398/2605-5686.38.2.139","DOIUrl":"https://doi.org/10.17398/2605-5686.38.2.139","url":null,"abstract":"We study measurable spaces equipped with a σ-ideal of negligible sets. We find conditions under which they admit a localizable locally determined version – a kind of fiber space that locally describes their directions – defined by a universal property in an appropriate category that we introduce. These methods allow to promote each measure space (X, A , µ) to a strictly localizable version (X̂, Â, µ̂), so that the dual of L1 (X, A , µ) is L∞ (X̂, Â, µ̂). Corresponding to this duality is a generalized Radon-Nikodým theorem. We also provide a characterization of the strictly localizable version in special cases that include integral geometric measures, when the negligibles are the purely unrectifiable sets in a given dimension.","PeriodicalId":33668,"journal":{"name":"Extracta Mathematicae","volume":"61 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139026314","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
Continua whose hyperspace of subcontinua is infinite dimensional and a cone 子连续体的超空间是无限维的连续体和一个锥体
Extracta Mathematicae Pub Date : 2023-12-01 DOI: 10.17398/2605-5686.38.2.205
Extracta Mathematicae Volumen, S. Mac´ıas, Jr S.B. Nadler
{"title":"Continua whose hyperspace of subcontinua is infinite dimensional and a cone","authors":"Extracta Mathematicae Volumen, S. Mac´ıas, Jr S.B. Nadler","doi":"10.17398/2605-5686.38.2.205","DOIUrl":"https://doi.org/10.17398/2605-5686.38.2.205","url":null,"abstract":"We determine several classes of continua whose hyperspaces of subcontinua are infinite dimensional and homeomorphic to cones over (usually) other continuum. In particular, we obtain many Peano continua with such a property.","PeriodicalId":33668,"journal":{"name":"Extracta Mathematicae","volume":"62 2","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139023458","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 fundamental theorem of affine geometry 仿射几何基本定理
Extracta Mathematicae Pub Date : 2023-07-20 DOI: 10.17398/2605-5686.38.2.235
J.B. Sancho de Salas
{"title":"The fundamental theorem of affine geometry","authors":"J.B. Sancho de Salas","doi":"10.17398/2605-5686.38.2.235","DOIUrl":"https://doi.org/10.17398/2605-5686.38.2.235","url":null,"abstract":"We deal with a natural generalization of the classical Fundamental Theorem of Affine Geometry to the case of non bijective maps. This extension geometrically characterizes semiaffine morphisms. It was obtained by W. Zick in 1981, although it is almost unknown. Our aim is to present and discuss a simplified proof of this result.","PeriodicalId":33668,"journal":{"name":"Extracta Mathematicae","volume":"12 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-07-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139357448","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 character variety of one relator groups 一个亲缘类群的性状变化
Extracta Mathematicae Pub Date : 2023-06-01 DOI: 10.17398/2605-5686.38.1.105
Extracta Mathematicae Volumen, A. Cavicchioli, F. Spaggiari
{"title":"The character variety of one relator groups","authors":"Extracta Mathematicae Volumen, A. Cavicchioli, F. Spaggiari","doi":"10.17398/2605-5686.38.1.105","DOIUrl":"https://doi.org/10.17398/2605-5686.38.1.105","url":null,"abstract":"We consider some families of one relator groups arising as fundamental groups of 3-dimensional manifolds, and calculate their character varieties in SL(2, C). Then we give simple geometrical descriptions of such varieties, and determine the number of their irreducible components. Our paper relates to the work of Baker-Petersen, Qazaqzeh and Morales-Marcén on the character variety of certain classes of one relator groups, but we use different methods based on the concept of palindrome presentations of given groups.","PeriodicalId":33668,"journal":{"name":"Extracta Mathematicae","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43857039","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
A note on isomorphisms of quantum systems 关于量子系统同构的一个注记
Extracta Mathematicae Pub Date : 2023-06-01 DOI: 10.17398/2605-5686.38.1.17
M. Weigt
{"title":"A note on isomorphisms of quantum systems","authors":"M. Weigt","doi":"10.17398/2605-5686.38.1.17","DOIUrl":"https://doi.org/10.17398/2605-5686.38.1.17","url":null,"abstract":"We consider the question as to whether a quantum system is uniquely determined by all values of all its observables. For this, we consider linearly nuclear GB*-algebras over W*-algebras as models of quantum systems.","PeriodicalId":33668,"journal":{"name":"Extracta Mathematicae","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42396092","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 Lie ideals satisfying certain differential identities in prime rings 关于满足素环上某些微分恒等式的李理想
Extracta Mathematicae Pub Date : 2023-06-01 DOI: 10.17398/2605-5686.38.1.67
Extracta Mathematicae Volumen, B. Dhara, S. Ghosh, G. Sandhu
{"title":"On Lie ideals satisfying certain differential identities in prime rings","authors":"Extracta Mathematicae Volumen, B. Dhara, S. Ghosh, G. Sandhu","doi":"10.17398/2605-5686.38.1.67","DOIUrl":"https://doi.org/10.17398/2605-5686.38.1.67","url":null,"abstract":"Let R be a prime ring of characteristic not 2, L a nonzero square closed Lie ideal of R and let F : R → R, G : R → R be generalized derivations associated with derivations d : R → R, g : R → R respectively. In this paper, we study several conditions that imply that the Lie ideal is central. Moreover, it is shown that the assumption of primeness of R can not be removed.","PeriodicalId":33668,"journal":{"name":"Extracta Mathematicae","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44820156","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
Estimating the number of limit cycles for one step perturbed homogeneous degenerate centers 一步摄动齐次退化中心极限环数的估计
Extracta Mathematicae Pub Date : 2023-06-01 DOI: 10.17398/2605-5686.38.1.85
Extracta Mathematicae Volumen, M. MolaeiDerakhtenjani, O. RabieiMotlagh, H. Mohammadinejad
{"title":"Estimating the number of limit cycles for one step perturbed homogeneous degenerate centers","authors":"Extracta Mathematicae Volumen, M. MolaeiDerakhtenjani, O. RabieiMotlagh, H. Mohammadinejad","doi":"10.17398/2605-5686.38.1.85","DOIUrl":"https://doi.org/10.17398/2605-5686.38.1.85","url":null,"abstract":"We consider a homogeneous degenerate center of order 2m + 1 and perturb it by a homogeneous polynomial of order 2m. We study the Lyapunov constants around the origin to estimate the number of limit cycles. To do it, we classify the parameters and study their effect on the number of limit cycles. Finally, we find that the perturbed degenerate center without any condition has at least two limit cycles, and the number of the bifurcated limit cycles could reach 2m + 3.","PeriodicalId":33668,"journal":{"name":"Extracta Mathematicae","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41592780","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 Jordan ideals with left derivations in 3-prime near-rings 3 '近环上左导的Jordan理想
Extracta Mathematicae Pub Date : 2023-01-23 DOI: 10.17398/2605-5686.38.1.51
Extracta Mathematicae Volumen, A. En-guady, A. Boua
{"title":"On Jordan ideals with left derivations in 3-prime near-rings","authors":"Extracta Mathematicae Volumen, A. En-guady, A. Boua","doi":"10.17398/2605-5686.38.1.51","DOIUrl":"https://doi.org/10.17398/2605-5686.38.1.51","url":null,"abstract":"We will extend in this paper some results about commutativity of Jordan ideals proved in [2] and [6]. However, we will consider left derivations instead of derivations, which is enough to get good results in relation to the structure of near-rings. We will also show that the conditions imposed in the paper cannot be removed.","PeriodicalId":33668,"journal":{"name":"Extracta Mathematicae","volume":"158 9","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-01-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41276625","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
下一页 尾页
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整，为了账户安全，请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们：info@booksci.cn Book学术提供免费学术资源搜索服务，方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号：481959085
Book学术官方微信