发布求助
文献互助 智能选刊 最新文献

Czechoslovak Mathematical Journal最新文献

筛选
英文 中文
Homological dimensions for endomorphism algebras of Gorenstein projective modules 戈伦斯坦投影模组内态代数的同调维数
IF 0.5 4区 数学
Czechoslovak Mathematical Journal Pub Date : 2024-08-28 DOI: 10.21136/cmj.2024.0199-23
Aiping Zhang, Xueping Lei
{"title":"Homological dimensions for endomorphism algebras of Gorenstein projective modules","authors":"Aiping Zhang, Xueping Lei","doi":"10.21136/cmj.2024.0199-23","DOIUrl":"https://doi.org/10.21136/cmj.2024.0199-23","url":null,"abstract":"<p>Let <i>A</i> be a CM-finite Artin algebra with a Gorenstein-Auslander generator <i>E, M</i> be a Gorenstein projective <i>A</i>-module and <i>B</i> = End<sub><i>A</i></sub><i>M</i>. We give an upper bound for the finitistic dimension of <i>B</i> in terms of homological data of <i>M</i>. Furthermore, if <i>A</i> is <i>n</i>-Gorenstein for 2 ⩽ <i>n</i> &lt; ∞, then we show the global dimension of <i>B</i> is less than or equal to <i>n</i> plus the <i>B</i>-projective dimension of Hom<sub><i>A</i></sub>(<i>M, E</i>). As an application, the global dimension of End<sub><i>A</i></sub><i>E</i> is less than or equal to <i>n</i>.</p>","PeriodicalId":50596,"journal":{"name":"Czechoslovak Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2024-08-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142182226","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Non-weight modules over the super Schrödinger algebra 超薛定谔代数上的非重模块
IF 0.5 4区 数学
Czechoslovak Mathematical Journal Pub Date : 2024-08-28 DOI: 10.21136/cmj.2024.0030-23
Xinyue Wang, Liangyun Chen, Yao Ma
{"title":"Non-weight modules over the super Schrödinger algebra","authors":"Xinyue Wang, Liangyun Chen, Yao Ma","doi":"10.21136/cmj.2024.0030-23","DOIUrl":"https://doi.org/10.21136/cmj.2024.0030-23","url":null,"abstract":"<p>We construct a family of non-weight modules which are free <span>(U(frak{h}))</span>-modules of rank 2 over the <i>N</i> = 1 super Schrödinger algebra in (1+1)-dimensional spacetime. We determine the isomorphism classes of these modules. In particular, free <span>(U(frak{h}))</span>-modules of rank 2 over <span>(frak{osp}(1mid 2))</span> are also constructed and classified. Moreover, we obtain the sufficient and necessary conditions for such modules to be simple.</p>","PeriodicalId":50596,"journal":{"name":"Czechoslovak Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2024-08-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142182224","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Extremal trees and molecular trees with respect to the Sombor-index-like graph invariants $$cal{SO}_5$$ and $$cal{SO}_6$$ 与松博指数样图不变式 $$cal{SO}_5$$ 和 $$cal{SO}_6$$ 有关的极值树和分子树
IF 0.5 4区 数学
Czechoslovak Mathematical Journal Pub Date : 2024-08-27 DOI: 10.21136/cmj.2024.0221-24
Wei Gao
{"title":"Extremal trees and molecular trees with respect to the Sombor-index-like graph invariants $$cal{SO}_5$$ and $$cal{SO}_6$$","authors":"Wei Gao","doi":"10.21136/cmj.2024.0221-24","DOIUrl":"https://doi.org/10.21136/cmj.2024.0221-24","url":null,"abstract":"<p>I. Gutman (2022) constructed six new graph invariants based on geometric parameters, and named them Sombor-index-like graph invariants, denoted by <span>(cal{SO}_1, cal{SO}_2, dots, cal{SO}_6)</span>. Z. Tang, H. Deng (2022) and Z. Tang, Q. Li, H. Deng (2023) investigated the chemical applicability and extremal values of these Sombor-index-like graph invariants, and raised some open problems, see Z. Tang, Q. Li, H. Deng (2023). We consider the first open problem formulated at the end of Z. Tang, Q. Li, H. Deng (2023). We obtain the extremal values of the graph invariants <span>(cal{SO}_5)</span> and <span>(cal{SO}_6)</span> among all trees and molecular trees of order <i>n</i>, and characterize the trees and molecular trees that achieve the extremal values, respectively. Thus, the problem is completely solved.</p>","PeriodicalId":50596,"journal":{"name":"Czechoslovak Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2024-08-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142182225","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Cotorsion pairs in comma categories 逗号类别中的同位语对
IF 0.5 4区 数学
Czechoslovak Mathematical Journal Pub Date : 2024-08-23 DOI: 10.21136/cmj.2024.0420-23
Yuan Yuan, Jian He, Dejun Wu
{"title":"Cotorsion pairs in comma categories","authors":"Yuan Yuan, Jian He, Dejun Wu","doi":"10.21136/cmj.2024.0420-23","DOIUrl":"https://doi.org/10.21136/cmj.2024.0420-23","url":null,"abstract":"<p>Let <span>(cal{A})</span> and <span>(cal{B})</span> be abelian categories with enough projective and injective objects, and <span>(T coloncal{A}rightarrowcal{B})</span> a left exact additive functor. Then one has a comma category (<span>(mathopen{cal{B} downarrow T})</span>). It is shown that if <span>(T coloncal{A}rightarrowcal{B})</span> is <span>(cal{X})</span>-exact, then is a (hereditary) cotorsion pair in <span>(cal{A})</span> and <img alt=\"\" src=\"//media.springernature.com/lw66/springer-static/image/art%3A10.21136%2FCMJ.2024.0420-23/MediaObjects/10587_2024_2023_Fig2_HTML.gif\" style=\"width:66px;max-width:none;\"/> is a (hereditary) cotorsion pair in <span>(cal{B})</span> if and only if <img alt=\"\" src=\"//media.springernature.com/lw128/springer-static/image/art%3A10.21136%2FCMJ.2024.0420-23/MediaObjects/10587_2024_2023_Fig3_HTML.gif\" style=\"width:128px;max-width:none;\"/> is a (hereditary) cotorsion pair in (<span>(mathopen{cal{B}downarrow T})</span>) and <span>(cal{X})</span> and <span>(cal{Y})</span> are closed under extensions. Furthermore, we characterize when special preenveloping classes in abelian categories <span>(cal{A})</span> and <span>(cal{B})</span> can induce special preenveloping classes in (<span>(mathopen{cal{B}downarrow T})</span>).</p>","PeriodicalId":50596,"journal":{"name":"Czechoslovak Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2024-08-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142182227","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Regularizing effect of the interplay between coefficients in some noncoercive integral functionals 某些非强制积分函数中系数间相互作用的正则效应
IF 0.5 4区 数学
Czechoslovak Mathematical Journal Pub Date : 2024-08-21 DOI: 10.21136/cmj.2024.0216-24
Aiping Zhang, Zesheng Feng, Hongya Gao
{"title":"Regularizing effect of the interplay between coefficients in some noncoercive integral functionals","authors":"Aiping Zhang, Zesheng Feng, Hongya Gao","doi":"10.21136/cmj.2024.0216-24","DOIUrl":"https://doi.org/10.21136/cmj.2024.0216-24","url":null,"abstract":"<p>We are interested in regularizing effect of the interplay between the coefficient of zero order term and the datum in some noncoercive integral functionals of the type</p><span>$$cal{J} (v)= int_Omega j(x,v,nabla v), {rm d}x +int_Omega a(x) vert vvert^{2} , {rm d} x -int_Omega fv , {rm d}x, quad vin W^{1,2}_{0}(Omega),$$</span><p>where Ω ⊂ ℝ<sup><i>N</i></sup>, <i>j</i> is a Carathéodory function such that <i>ξ</i> ↦ <i>j</i>(<i>x, s, ξ</i>) is convex, and there exist constants 0 ⩽ <i>τ</i> &lt; 1 and <i>M</i> &gt; 0 such that</p><span>$${vertxivert^{2}}{over{{(1+vert svert)^{tau}}}}leqslant j(x,s,xi)leqslant Mvertxivert^2$$</span><p>for almost all <i>x</i> ∈ Ω, all <i>s</i> ∈ ℝ and all <i>ξ</i> ∈ ℝ<sup><i>N</i></sup>. We show that, even if 0 &lt; <i>a</i>(<i>x</i>) and <i>f</i>(<i>x</i>) only belong to <i>L</i><sup>1</sup>(Ω), the interplay</p><span>$$vert f(x)vertleqslant2 Qa(x)$$</span><p>implies the existence of a minimizer <i>u</i> ∈ <i>W</i><span>\u0000<sup>1,2</sup><sub>0</sub>\u0000</span> (Ω) which belongs to <i>L</i><sup>∞</sup>(Ω).</p>","PeriodicalId":50596,"journal":{"name":"Czechoslovak Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2024-08-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142182228","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On linear maps leaving invariant the copositive/completely positive cones 关于使共正/完全正锥不变的线性映射
IF 0.5 4区 数学
Czechoslovak Mathematical Journal Pub Date : 2024-08-16 DOI: 10.21136/cmj.2024.0002-24
Sachindranath Jayaraman, Vatsalkumar N. Mer
{"title":"On linear maps leaving invariant the copositive/completely positive cones","authors":"Sachindranath Jayaraman, Vatsalkumar N. Mer","doi":"10.21136/cmj.2024.0002-24","DOIUrl":"https://doi.org/10.21136/cmj.2024.0002-24","url":null,"abstract":"<p>The objective of this manuscript is to investigate the structure of linear maps on the space of real symmetric matrices <span>(cal{S}^{n})</span> that leave invariant the closed convex cones of copositive and completely positive matrices (COP<sub><i>n</i></sub> and CP<sub><i>n</i></sub>). A description of an invertible linear map on <span>(cal{S}^{n})</span> such that <i>L</i>(CP<sub><i>n</i></sub>) ⊂ <i>CP</i><sub><i>n</i></sub> is obtained in terms of semipositive maps over the positive semidefinite cone <span>(cal{S}_{+}^{n})</span> and the cone of symmetric nonnegative matrices <span>(cal{N}_{+}^{n})</span> for <i>n</i> ⩽ 4, with specific calculations for <i>n</i> = 2. Preserver properties of the Lyapunov map <i>X</i> ↦ <i>AX</i> + <i>XA</i><sup><i>t</i></sup>, the generalized Lyapunov map <i>X</i> ↦ <i>AXB</i> + <i>B</i><sup><i>t</i></sup><i>XA</i><sup><i>t</i></sup>, and the structure of the dual of the cone <i>π</i>(CP<sub><i>n</i></sub>) (for <i>n</i> ⩽ 4) are brought out. We also highlight a different way to determine the structure of an invertible linear map on <span>(cal{S}^{2})</span> that leaves invariant the closed convex cone <span>(cal{S}_{+}^{2})</span>.</p>","PeriodicalId":50596,"journal":{"name":"Czechoslovak Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2024-08-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142182252","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The Grothendieck ring of quantum double of quaternion group 四元组量子双环的格罗内狄克环
IF 0.4 4区 数学
Czechoslovak Mathematical Journal Pub Date : 2024-07-24 DOI: 10.21136/cmj.2024.0113-24
Hua Sun, Jia Pang, Yanxi Shen
{"title":"The Grothendieck ring of quantum double of quaternion group","authors":"Hua Sun, Jia Pang, Yanxi Shen","doi":"10.21136/cmj.2024.0113-24","DOIUrl":"https://doi.org/10.21136/cmj.2024.0113-24","url":null,"abstract":"","PeriodicalId":50596,"journal":{"name":"Czechoslovak Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2024-07-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141808630","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A remark on a Diophantine equation of S. S. Pillai 关于 S. S. Pillai 的一个 Diophantine 方程的评论
IF 0.4 4区 数学
Czechoslovak Mathematical Journal Pub Date : 2024-07-24 DOI: 10.21136/cmj.2024.0124-24
Azizul Hoque
{"title":"A remark on a Diophantine equation of S. S. Pillai","authors":"Azizul Hoque","doi":"10.21136/cmj.2024.0124-24","DOIUrl":"https://doi.org/10.21136/cmj.2024.0124-24","url":null,"abstract":"","PeriodicalId":50596,"journal":{"name":"Czechoslovak Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2024-07-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141806266","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On zero-symmetric nearrings with identity whose additive groups are simple 论其加法群为简单群的具有同一性的零对称近环
IF 0.4 4区 数学
Czechoslovak Mathematical Journal Pub Date : 2024-07-24 DOI: 10.21136/cmj.2024.0086-24
Wen-Fong Ke, Johannes H. Meyer, Günter F. Pilz, Gerhard Wendt
{"title":"On zero-symmetric nearrings with identity whose additive groups are simple","authors":"Wen-Fong Ke, Johannes H. Meyer, Günter F. Pilz, Gerhard Wendt","doi":"10.21136/cmj.2024.0086-24","DOIUrl":"https://doi.org/10.21136/cmj.2024.0086-24","url":null,"abstract":"","PeriodicalId":50596,"journal":{"name":"Czechoslovak Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2024-07-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141806452","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Some Hölder-logarithmic estimates on Hardy-Sobolev spaces 哈代-索博廖夫空间上的一些荷尔德-对数估计
IF 0.4 4区 数学
Czechoslovak Mathematical Journal Pub Date : 2024-07-22 DOI: 10.21136/cmj.2024.0552-23
I. Feki, Ameni Massoudi
{"title":"Some Hölder-logarithmic estimates on Hardy-Sobolev spaces","authors":"I. Feki, Ameni Massoudi","doi":"10.21136/cmj.2024.0552-23","DOIUrl":"https://doi.org/10.21136/cmj.2024.0552-23","url":null,"abstract":"","PeriodicalId":50596,"journal":{"name":"Czechoslovak Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2024-07-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141814370","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","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