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Czechoslovak Mathematical Journal最新文献

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The Picard-Lindelöf Theorem and continuation of solutions for measure differential equations 测度微分方程解的Picard-Lindelöf定理与延拓
IF 0.5 4区 数学
Czechoslovak Mathematical Journal Pub Date : 2023-05-15 DOI: 10.21136/cmj.2023.0236-22
Gastón Beltritti, Stefania Demaria, G. Giubergia, F. Mazzone
{"title":"The Picard-Lindelöf Theorem and continuation of solutions for measure differential equations","authors":"Gastón Beltritti, Stefania Demaria, G. Giubergia, F. Mazzone","doi":"10.21136/cmj.2023.0236-22","DOIUrl":"https://doi.org/10.21136/cmj.2023.0236-22","url":null,"abstract":"","PeriodicalId":50596,"journal":{"name":"Czechoslovak Mathematical Journal","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2023-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42815974","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
Linear preserver of $ntimes1$ Ferrers vectors $ntimes1$ Ferrers向量的线性保持器
IF 0.5 4区 数学
Czechoslovak Mathematical Journal Pub Date : 2023-05-09 DOI: 10.21136/cmj.2023.0440-22
Leila Fazlpar, A. Armandnejad
{"title":"Linear preserver of $ntimes1$ Ferrers vectors","authors":"Leila Fazlpar, A. Armandnejad","doi":"10.21136/cmj.2023.0440-22","DOIUrl":"https://doi.org/10.21136/cmj.2023.0440-22","url":null,"abstract":"","PeriodicalId":50596,"journal":{"name":"Czechoslovak Mathematical Journal","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2023-05-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47333822","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
Symmetries in connected graded algebras and their PBW-deformations 连通分次代数中的对称性及其PBW变形
IF 0.5 4区 数学
Czechoslovak Mathematical Journal Pub Date : 2023-04-27 DOI: 10.21136/cmj.2023.0511-22
Yongjun Xu, Xin Zhang
{"title":"Symmetries in connected graded algebras and their PBW-deformations","authors":"Yongjun Xu, Xin Zhang","doi":"10.21136/cmj.2023.0511-22","DOIUrl":"https://doi.org/10.21136/cmj.2023.0511-22","url":null,"abstract":"","PeriodicalId":50596,"journal":{"name":"Czechoslovak Mathematical Journal","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2023-04-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41366128","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 the class number of the maximal real subfields of a family of cyclotomic fields 关于切环场族的极大实子域的类数
IF 0.5 4区 数学
Czechoslovak Mathematical Journal Pub Date : 2023-04-27 DOI: 10.21136/CMJ.2023.0364-22
M. Ram
{"title":"On the class number of the maximal real subfields of a family of cyclotomic fields","authors":"M. Ram","doi":"10.21136/CMJ.2023.0364-22","DOIUrl":"https://doi.org/10.21136/CMJ.2023.0364-22","url":null,"abstract":"For any square-free positive integer m ≡ 10 (mod 16) with m ⩾ 26, we prove that the class number of the real cyclotomic field ℚ(ζ4m +ζ4m−1) is greater than 1, where ζ4m is a primitive 4mth root of unity.","PeriodicalId":50596,"journal":{"name":"Czechoslovak Mathematical Journal","volume":"73 1","pages":"937 - 940"},"PeriodicalIF":0.5,"publicationDate":"2023-04-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42565585","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 the average behavior of the Fourier coefficients of jth symmetric power L-function over certain sequences of positive integers 关于第j次对称幂函数在若干正整数序列上的傅里叶系数的平均行为
IF 0.5 4区 数学
Czechoslovak Mathematical Journal Pub Date : 2023-04-27 DOI: 10.21136/CMJ.2023.0348-22
Anubhav Sharma, A. Sankaranarayanan
{"title":"On the average behavior of the Fourier coefficients of jth symmetric power L-function over certain sequences of positive integers","authors":"Anubhav Sharma, A. Sankaranarayanan","doi":"10.21136/CMJ.2023.0348-22","DOIUrl":"https://doi.org/10.21136/CMJ.2023.0348-22","url":null,"abstract":"We investigate the average behavior of the nth normalized Fourier coefficients of the jth (j ≽ 2 be any fixed integer) symmetric power L-function (i.e., L(s,symjf)), attached to a primitive holomorphic cusp form f of weight k for the full modular group SL(2,ℤ)documentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} begin{document}$$SL(2,mathbb{Z})$$end{document} over certain sequences of positive integers. Precisely, we prove an asymptotic formula with an error term for the sum Sj∗:=∑a12+a22+a32+a42+a52+a62⩽x(a1,a2,a3,a4,a5,a6)∈ℤ6λsymjf2(a12+a22+a32+a42+a52+a62),documentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} begin{document}$$S_j^ *: = sumlimits_{matrix{{a_1^2 + a_2^2 + a_3^2 + a_4^2 + a_5^2 + a_6^2x} cr {({a_1},{a_2},{a_3},{a_4},{a_5},{a_6}) in {mathbb{Z}^6}} cr}} {lambda _{{rm{sy}}{{rm{m}}^j}f}^2(a_1^2 + a_2^2 + a_3^2 + a_4^2 + a_5^2 + a_6^2),} $$end{document} where x is sufficiently large, and L(s,symjf):=∑n=1∞λsymjf(n)ns.documentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} begin{document}$$L(s,{rm{sy}}{{rm{m}}^j}f): = sumlimits_{n = 1}^infty {{{{lambda _{{rm{sy}}{{rm{m}}^j}f}}(n)} over {{n^s}}}}.$$end{document} When j = 2, the error term which we obtain improves the earlier known result.","PeriodicalId":50596,"journal":{"name":"Czechoslovak Mathematical Journal","volume":"73 1","pages":"885 - 901"},"PeriodicalIF":0.5,"publicationDate":"2023-04-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43217567","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
Ding projective and Ding injective modules over trivial ring extensions 平凡环扩张上的丁投射模和丁内射模
IF 0.5 4区 数学
Czechoslovak Mathematical Journal Pub Date : 2023-04-13 DOI: 10.21136/CMJ.2023.0351-22
L. Mao
{"title":"Ding projective and Ding injective modules over trivial ring extensions","authors":"L. Mao","doi":"10.21136/CMJ.2023.0351-22","DOIUrl":"https://doi.org/10.21136/CMJ.2023.0351-22","url":null,"abstract":"Let R ⋉ M be a trivial extension of a ring R by an R-R-bimodule M such that MR, RM, (R, 0)R⋉ M and R⋉M(R, 0) have finite flat dimensions. We prove that (X, α) is a Ding projective left R ⋉ M-module if and only if the sequence M⊗RM⊗RX→M⊗αM⊗RX→αXdocumentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} begin{document}$$M{otimes _R}M{otimes _R}Xmathop to limits^{M otimes alpha} M{otimes _R}Xmathop to limits^alpha X$$end{document} is exact and coker(α) is a Ding projective left R-module. Analogously, we explicitly describe Ding injective R ⋉ M-modules. As applications, we characterize Ding projective and Ding injective modules over Morita context rings with zero bimodule homomorphisms.","PeriodicalId":50596,"journal":{"name":"Czechoslovak Mathematical Journal","volume":"73 1","pages":"903 - 919"},"PeriodicalIF":0.5,"publicationDate":"2023-04-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48649512","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 roller coaster approach to integration and Peano's existence theorem 过山车式的积分方法和Peano的存在性定理
IF 0.5 4区 数学
Czechoslovak Mathematical Journal Pub Date : 2023-04-11 DOI: 10.21136/cmj.2023.0514-22
Rodrigo López Pouso
{"title":"A roller coaster approach to integration and Peano's existence theorem","authors":"Rodrigo López Pouso","doi":"10.21136/cmj.2023.0514-22","DOIUrl":"https://doi.org/10.21136/cmj.2023.0514-22","url":null,"abstract":"","PeriodicalId":50596,"journal":{"name":"Czechoslovak Mathematical Journal","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2023-04-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45972298","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
Modifications of Newton-Cotes formulas for computation of repeated integrals and derivatives 用于计算重复积分和导数的牛顿-柯特公式的修正
IF 0.5 4区 数学
Czechoslovak Mathematical Journal Pub Date : 2023-03-24 DOI: 10.21136/cmj.2023.0437-22
K. Tvrdá, P. Novotný
{"title":"Modifications of Newton-Cotes formulas for computation of repeated integrals and derivatives","authors":"K. Tvrdá, P. Novotný","doi":"10.21136/cmj.2023.0437-22","DOIUrl":"https://doi.org/10.21136/cmj.2023.0437-22","url":null,"abstract":"","PeriodicalId":50596,"journal":{"name":"Czechoslovak Mathematical Journal","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2023-03-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48694248","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 necessary condition for HK-integrability of the Fourier sine transform function 傅立叶正弦变换函数HK可积的一个必要条件
IF 0.5 4区 数学
Czechoslovak Mathematical Journal Pub Date : 2023-03-22 DOI: 10.21136/cmj.2023.0257-22
J. H. Arredondo, Manuel Bernal, M. G. Morales
{"title":"A necessary condition for HK-integrability of the Fourier sine transform function","authors":"J. H. Arredondo, Manuel Bernal, M. G. Morales","doi":"10.21136/cmj.2023.0257-22","DOIUrl":"https://doi.org/10.21136/cmj.2023.0257-22","url":null,"abstract":"","PeriodicalId":50596,"journal":{"name":"Czechoslovak Mathematical Journal","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2023-03-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47690220","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
Characterizations of commutators of the Hardy-Littlewood maximal function on Triebel-Lizorkin spaces Triebel-Lizorkin空间上Hardy-Littlewood极大函数交换子的刻画
IF 0.5 4区 数学
Czechoslovak Mathematical Journal Pub Date : 2023-03-20 DOI: 10.21136/CMJ.2023.0116-22
G. Lu, Dinghuai Wang
{"title":"Characterizations of commutators of the Hardy-Littlewood maximal function on Triebel-Lizorkin spaces","authors":"G. Lu, Dinghuai Wang","doi":"10.21136/CMJ.2023.0116-22","DOIUrl":"https://doi.org/10.21136/CMJ.2023.0116-22","url":null,"abstract":"We study the mapping property of the commutator of Hardy-Littlewood maximal function on Triebel-Lizorkin spaces. Also, some new characterizations of the Lipschitz spaces are given.","PeriodicalId":50596,"journal":{"name":"Czechoslovak Mathematical Journal","volume":"73 1","pages":"513 - 524"},"PeriodicalIF":0.5,"publicationDate":"2023-03-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44864172","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
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