Pub Date : 2023-06-21DOI: 10.21136/cmj.2023.0392-22
Farid Kourki, R. Tribak
{"title":"Commutative rings whose certain modules decompose into direct sums of cyclic submodules","authors":"Farid Kourki, R. Tribak","doi":"10.21136/cmj.2023.0392-22","DOIUrl":"https://doi.org/10.21136/cmj.2023.0392-22","url":null,"abstract":"","PeriodicalId":50596,"journal":{"name":"Czechoslovak Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2023-06-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45035089","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}
Pub Date : 2023-06-21DOI: 10.21136/CMJ.2023.0170-22
Weihao Xia, Jihui Wang, Jiansheng Cai
A majority coloring of a digraph D with k colors is an assignment π: V(D) → {1, 2, …, k} such that for every v ∈ V(D) we have π(w) = π(v) for at most half of all out-neighbors w ∈ N+(v). A digraph D is majority k-choosable if for any assignment of lists of colors of size k to the vertices, there is a majority coloring of D from these lists. We prove that if U(D) is a 1-planar graph without a 4-cycle, then D is majority 3-choosable. And we also prove that every NIC-planar digraph is majority 3-choosable.
{"title":"Majority choosability of 1-planar digraph","authors":"Weihao Xia, Jihui Wang, Jiansheng Cai","doi":"10.21136/CMJ.2023.0170-22","DOIUrl":"https://doi.org/10.21136/CMJ.2023.0170-22","url":null,"abstract":"A majority coloring of a digraph D with k colors is an assignment π: V(D) → {1, 2, …, k} such that for every v ∈ V(D) we have π(w) = π(v) for at most half of all out-neighbors w ∈ N+(v). A digraph D is majority k-choosable if for any assignment of lists of colors of size k to the vertices, there is a majority coloring of D from these lists. We prove that if U(D) is a 1-planar graph without a 4-cycle, then D is majority 3-choosable. And we also prove that every NIC-planar digraph is majority 3-choosable.","PeriodicalId":50596,"journal":{"name":"Czechoslovak Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2023-06-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46311847","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}
Pub Date : 2023-06-20DOI: 10.21136/CMJ.2023.0358-22
M. Ben Nasr, Ali Jaballah
We establish several finiteness characterizations and equations for the cardinality and the length of the set of overrings of rings with nontrivial zero divisors and integrally closed in their total ring of fractions. Similar properties are also obtained for related extensions of commutative rings that are not necessarily integral domains. Numerical characterizations are obtained for rings with some finiteness conditions afterwards.
{"title":"Equations for the set of overrings of normal rings and related ring extensions","authors":"M. Ben Nasr, Ali Jaballah","doi":"10.21136/CMJ.2023.0358-22","DOIUrl":"https://doi.org/10.21136/CMJ.2023.0358-22","url":null,"abstract":"We establish several finiteness characterizations and equations for the cardinality and the length of the set of overrings of rings with nontrivial zero divisors and integrally closed in their total ring of fractions. Similar properties are also obtained for related extensions of commutative rings that are not necessarily integral domains. Numerical characterizations are obtained for rings with some finiteness conditions afterwards.","PeriodicalId":50596,"journal":{"name":"Czechoslovak Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2023-06-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45689782","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}
Pub Date : 2023-06-19DOI: 10.21136/cmj.2023.0432-22
Xiaojian Lu, Deren Luo
{"title":"Tensor products of higher almost split sequences in subcategories","authors":"Xiaojian Lu, Deren Luo","doi":"10.21136/cmj.2023.0432-22","DOIUrl":"https://doi.org/10.21136/cmj.2023.0432-22","url":null,"abstract":"","PeriodicalId":50596,"journal":{"name":"Czechoslovak Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2023-06-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46022200","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}
Pub Date : 2023-06-19DOI: 10.21136/cmj.2023.0450-22
H. Kalita, R. Agarwal, B. Hazarika
{"title":"Convergence of ap-Henstock-Kurzweil integral on locally compact spaces","authors":"H. Kalita, R. Agarwal, B. Hazarika","doi":"10.21136/cmj.2023.0450-22","DOIUrl":"https://doi.org/10.21136/cmj.2023.0450-22","url":null,"abstract":"","PeriodicalId":50596,"journal":{"name":"Czechoslovak Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2023-06-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46006453","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}
Pub Date : 2023-06-12DOI: 10.21136/CMJ.2023.0310-22
Jae Gil Choi, S. Shim
We study a conditional Fourier-Feynman transform (CFFT) of functionals on an abstract Wiener space (H, B, v). An infinite dimensional conditioning function is used to define the CFFT. To do this, we first present a short survey of the conditional Wiener integral concerning the topic of this paper. We then establish evaluation formulas for the conditional Wiener integral on the abstract Wiener space B. Using the evaluation formula, we next provide explicit formulas for CFFTs of functionals in the Kallianpur and Bromley Fresnel class ℱ(B) and we finally investigate some Fubini theorems involving CFFT.
{"title":"Conditional Fourier-Feynman transform given infinite dimensional conditioning function on abstract Wiener space","authors":"Jae Gil Choi, S. Shim","doi":"10.21136/CMJ.2023.0310-22","DOIUrl":"https://doi.org/10.21136/CMJ.2023.0310-22","url":null,"abstract":"We study a conditional Fourier-Feynman transform (CFFT) of functionals on an abstract Wiener space (H, B, v). An infinite dimensional conditioning function is used to define the CFFT. To do this, we first present a short survey of the conditional Wiener integral concerning the topic of this paper. We then establish evaluation formulas for the conditional Wiener integral on the abstract Wiener space B. Using the evaluation formula, we next provide explicit formulas for CFFTs of functionals in the Kallianpur and Bromley Fresnel class ℱ(B) and we finally investigate some Fubini theorems involving CFFT.","PeriodicalId":50596,"journal":{"name":"Czechoslovak Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2023-06-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49180431","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}
Pub Date : 2023-06-07DOI: 10.21136/CMJ.2023.0173-22
Qianqian Yuan, Hailou Yao
We introduce the notions of silting comodules and finitely silting comodules in quasi-finite category, and study some properties of them. We investigate the torsion pair and dualities which are related to finitely silting comodules, and give the equivalences among silting comodules, finitely silting comodules, tilting comodules and finitely tilting comodules.
{"title":"Finitely silting comodules in quasi-finite comodule category","authors":"Qianqian Yuan, Hailou Yao","doi":"10.21136/CMJ.2023.0173-22","DOIUrl":"https://doi.org/10.21136/CMJ.2023.0173-22","url":null,"abstract":"We introduce the notions of silting comodules and finitely silting comodules in quasi-finite category, and study some properties of them. We investigate the torsion pair and dualities which are related to finitely silting comodules, and give the equivalences among silting comodules, finitely silting comodules, tilting comodules and finitely tilting comodules.","PeriodicalId":50596,"journal":{"name":"Czechoslovak Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2023-06-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46075006","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}
Pub Date : 2023-05-24DOI: 10.21136/cmj.2023.0442-22
Y. Mizuta, T. Shimomura
{"title":"Sobolev type inequalities for fractional maximal functions and Riesz potentials in Morrey spaces of variable exponent on half spaces","authors":"Y. Mizuta, T. Shimomura","doi":"10.21136/cmj.2023.0442-22","DOIUrl":"https://doi.org/10.21136/cmj.2023.0442-22","url":null,"abstract":"","PeriodicalId":50596,"journal":{"name":"Czechoslovak Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2023-05-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43468032","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}
Pub Date : 2023-05-22DOI: 10.21136/cmj.2023.0313-22
Varayu Boonpogkrong
{"title":"The topology of the space of $mathcal{HK}$ integrable functions in ${mathbb R}^n$","authors":"Varayu Boonpogkrong","doi":"10.21136/cmj.2023.0313-22","DOIUrl":"https://doi.org/10.21136/cmj.2023.0313-22","url":null,"abstract":"","PeriodicalId":50596,"journal":{"name":"Czechoslovak Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2023-05-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45077067","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}
Pub Date : 2023-05-22DOI: 10.21136/CMJ.2023.0193-22
Yu Wang, Xiao-Meng Li
Let U be the two-parameter quantized enveloping algebra Ur,s(sl2)documentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} begin{document}$${U_{r,s}}({mathfrak{s}mathfrak{l}_2})$$end{document} and F(U) the locally finite subalgebra of U under the adjoint action. The aim of this paper is to determine some ring-theoretical properties of F(U) in the case when rs−1 is not a root of unity. Then we describe the annihilator ideals of finite dimensional simple modules of U by generators.
{"title":"Annihilator ideals of finite dimensional simple modules of two-parameter quantized enveloping algebra Ur,s(sl2)documentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{","authors":"Yu Wang, Xiao-Meng Li","doi":"10.21136/CMJ.2023.0193-22","DOIUrl":"https://doi.org/10.21136/CMJ.2023.0193-22","url":null,"abstract":"Let U be the two-parameter quantized enveloping algebra Ur,s(sl2)documentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} begin{document}$${U_{r,s}}({mathfrak{s}mathfrak{l}_2})$$end{document} and F(U) the locally finite subalgebra of U under the adjoint action. The aim of this paper is to determine some ring-theoretical properties of F(U) in the case when rs−1 is not a root of unity. Then we describe the annihilator ideals of finite dimensional simple modules of U by generators.","PeriodicalId":50596,"journal":{"name":"Czechoslovak Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2023-05-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49635981","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}
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