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Transitive permutation groups with elements of movement m or m − 2 元素移动量为 m 或 m - 2 的传递置换群
IF 0.8 4区 数学
Hacettepe Journal of Mathematics and Statistics Pub Date : 2024-04-14 DOI: 10.15672/hujms.1223815
M. Alaeiyan, Murtadha Shabeeb, M. Akbarizadeh
{"title":"Transitive permutation groups with elements of movement m or m − 2","authors":"M. Alaeiyan, Murtadha Shabeeb, M. Akbarizadeh","doi":"10.15672/hujms.1223815","DOIUrl":"https://doi.org/10.15672/hujms.1223815","url":null,"abstract":"Let G be a permutation group on a set Omega with no fixed points in Omega and let m be a positive integer. \u0000If for each subset Gamma of Omegga the size |Gamma^g Gamma| is bounded, for g in G, we define the \u0000movement of g as the max |Gamma^g Gamma| over all subsets Gamma of Omega, and the movement \u0000of G is defined as the maximum of move(g) over all non-identity elements of g in G. In this paper we classify all \u0000transitive permutation groups with bounded movement equal tomthat are not a 2-group, but in which every \u0000non-identity element has movement m or m − 2.","PeriodicalId":55078,"journal":{"name":"Hacettepe Journal of Mathematics and Statistics","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2024-04-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140705723","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
Iterations and unions of star selection properties on topological spaces 拓扑空间上星形选择特性的迭代与联合
IF 0.8 4区 数学
Hacettepe Journal of Mathematics and Statistics Pub Date : 2024-04-14 DOI: 10.15672/hujms.1198061
Javier Casas-de la Rosa, William Chen-mertens, Sergio A. Garcia-balan
{"title":"Iterations and unions of star selection properties on topological spaces","authors":"Javier Casas-de la Rosa, William Chen-mertens, Sergio A. Garcia-balan","doi":"10.15672/hujms.1198061","DOIUrl":"https://doi.org/10.15672/hujms.1198061","url":null,"abstract":"In this paper, we investigate what selection principles properties are possessed by small (with respect to the bounding and dominating numbers) unions of spaces with certain (star) selection principles.. Furthermore, we give several results about iterations of these properties and weaker properties than paracompactness. In addition, we study the behaviour of these iterated properties on $Psi$-spaces. Finally, we show that, consistently, there is a normal star-Menger space that is not strongly star-Menger; this example answers a couple of questions posed in [J. Casas-de la Rosa, S. A. Garcia-Balan, P. J. Szeptycki, emph{Some star and strongly star selection principles}, Topology Appl. 258 (2019) 572-587]","PeriodicalId":55078,"journal":{"name":"Hacettepe Journal of Mathematics and Statistics","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2024-04-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140705099","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 new class of ideal Connes amenability 一类新的理想康内斯可亲性
IF 0.8 4区 数学
Hacettepe Journal of Mathematics and Statistics Pub Date : 2024-04-14 DOI: 10.15672/hujms.1372448
Ahmad Minapoor, A. Rejali, M. Mehdipour
{"title":"A new class of ideal Connes amenability","authors":"Ahmad Minapoor, A. Rejali, M. Mehdipour","doi":"10.15672/hujms.1372448","DOIUrl":"https://doi.org/10.15672/hujms.1372448","url":null,"abstract":"In this paper, we introduce the notion of σ−ideally Connes amenable for dual Banach algebras and give some hereditary properties for this new notion. We also investigate σ−ideally Connes amenability of ℓ1(G,ω). We show that if ω is a diagonally bounded weight function on discrete group G and σ is isometrically isomorphism of ℓ1(G,ω), then ℓ1(G,ω) is σ−ideally Connes amenable and so it is ideally Connes amenable.","PeriodicalId":55078,"journal":{"name":"Hacettepe Journal of Mathematics and Statistics","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2024-04-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140705453","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 an attraction-repulsion chemotaxis model involving logistic source 关于涉及逻辑源的吸引-排斥趋化模型
IF 0.8 4区 数学
Hacettepe Journal of Mathematics and Statistics Pub Date : 2024-04-14 DOI: 10.15672/hujms.1284792
Ebubekir Akkoyunlu
{"title":"On an attraction-repulsion chemotaxis model involving logistic source","authors":"Ebubekir Akkoyunlu","doi":"10.15672/hujms.1284792","DOIUrl":"https://doi.org/10.15672/hujms.1284792","url":null,"abstract":"This paper is concerned with the attraction-repulsion chemotaxis system involving logistic source: u_{t}=Δu-χ∇⋅(u∇υ)+ξ∇⋅(u∇ω)+f(u), ρυ_{t}=Δυ-α₁υ+β₁u, ρω_{t}=Δω-α₂ω+β₂u under homogeneous Neumann boundary conditions with nonnegative initial data (u₀,υ₀,ω₀)∈ (W^{1,∞}(Ω))³, the parameters χ, ξ, α₁, α₂, β₁, β₂>0, ρ≥0 subject to the non-flux boundary conditions in a bounded domain Ω⊂ℝ^{N}(N≥3) with smooth boundary and f(u)≤au-μu² with f(0)≥0 and a≥0, μ>0 for all u>0. Based on the maximal Sobolev regularity and semigroup technique, it is proved that the system admits a globally bounded classical solution provided that χ+ξ0 is sufficiently small for all β₁, β₂","PeriodicalId":55078,"journal":{"name":"Hacettepe Journal of Mathematics and Statistics","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2024-04-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140704943","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
Local Distance Antimagic Chromatic Number of Join Product of Graphs with Cycles or Paths 有循环或路径的图形连接积的局部距离反魔术色度数
IF 0.8 4区 数学
Hacettepe Journal of Mathematics and Statistics Pub Date : 2024-04-14 DOI: 10.15672/hujms.1266085
W. Shiu, G. Lau, Nalliah M
{"title":"Local Distance Antimagic Chromatic Number of Join Product of Graphs with Cycles or Paths","authors":"W. Shiu, G. Lau, Nalliah M","doi":"10.15672/hujms.1266085","DOIUrl":"https://doi.org/10.15672/hujms.1266085","url":null,"abstract":"Let G be a graph of order p without isolated vertices. A bijection f : V → {1, 2, 3, . . . , p} is called a local distance antimagic labeling, if wf (u) ̸= wf (v) for every edge uv of G, where wf(u) =ΣxϵN(u) f(x). The local distance antimagic chromatic number χlda(G) is defined to be the minimum number of colors taken over all colorings of G induced by local distance antimagic labelings of G. In this paper, we determined the local distance antimagic chromatic number of some cycles, paths, disjoint union of 3-paths. We also determined the local distance antimagic chromatic number of join products of some graphs with cycles or paths.","PeriodicalId":55078,"journal":{"name":"Hacettepe Journal of Mathematics and Statistics","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2024-04-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140704307","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 approximation of functions, conjugate to the functions of several variables belonging to weighted Lipschitz and Zygmund classes 关于函数的近似，与属于加权利普希兹类和齐格蒙类的几个变量的函数共轭
IF 0.8 4区 数学
Hacettepe Journal of Mathematics and Statistics Pub Date : 2024-04-14 DOI: 10.15672/hujms.1318033
S. K. Srivastava, S. Devaiya
{"title":"On approximation of functions, conjugate to the functions of several variables belonging to weighted Lipschitz and Zygmund classes","authors":"S. K. Srivastava, S. Devaiya","doi":"10.15672/hujms.1318033","DOIUrl":"https://doi.org/10.15672/hujms.1318033","url":null,"abstract":"In the present paper, we introduce a new weighted Lipschitz class W(Lp(TN), ξ1(s1), . . . , ξN(sN)) and Zygmund class Z(Lp(TN), ξ1(s1), . . . , ξN(sN)) for N ∈ N, which generalizes the classes given in [7, 11]. We prove two theorems about \u0000the degree (error) of approximation of functions, conjugate to the N-variable functions (2π-periodic in each variable) belonging to these classes using the N-multiple matrix means of their N-multiple conjugate Fourier series. We improve the results of Móricz and Rhoades [6] and Móricz and Shi [7], which are given in the form of corollaries.","PeriodicalId":55078,"journal":{"name":"Hacettepe Journal of Mathematics and Statistics","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2024-04-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140705802","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 NOTE ON NONLINEAR MIXED TYPE PRODUCT [E ⋄ K, D]∗ ON ∗-ALGEBRAS 关于∗ 矩阵上非线性混合类型积 [e ⋄ k, d]∗ 的说明
IF 0.8 4区 数学
Hacettepe Journal of Mathematics and Statistics Pub Date : 2024-04-14 DOI: 10.15672/hujms.1294965
Mohammad Aslam Siddeeque, Raof Ahmad Bhat, Mohammad Shane Alam
{"title":"A NOTE ON NONLINEAR MIXED TYPE PRODUCT [E ⋄ K, D]∗ ON ∗-ALGEBRAS","authors":"Mohammad Aslam Siddeeque, Raof Ahmad Bhat, Mohammad Shane Alam","doi":"10.15672/hujms.1294965","DOIUrl":"https://doi.org/10.15672/hujms.1294965","url":null,"abstract":"Let B be a ∗-algebra with the unity and a nontrivial projection. In the present paper, we show under certain restrictions that if a map Ψ : B →B satisfies \u0000 Ψ([E ⋄ K, D]∗) = [Ψ(E) ⋄ K, D]∗ + [E ⋄Ψ(K), D]∗ + [E ⋄ K, Ψ(D)]∗ for all E, K, D ∈ B, then Ψ is an additive ∗-derivation.","PeriodicalId":55078,"journal":{"name":"Hacettepe Journal of Mathematics and Statistics","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2024-04-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140705558","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 Some Bounds of Degree Based Topological Indices for Total Graphs 论基于度的全图拓扑指标的若干界限
IF 0.8 4区 数学
Hacettepe Journal of Mathematics and Statistics Pub Date : 2024-04-14 DOI: 10.15672/hujms.1240245
Hong Yang, Dingtian Zhang, M. Hanif, Muhammad Faisal Hanif, S. Manzoor, Muhammad Kamran Siddiqui
{"title":"On Some Bounds of Degree Based Topological Indices for Total Graphs","authors":"Hong Yang, Dingtian Zhang, M. Hanif, Muhammad Faisal Hanif, S. Manzoor, Muhammad Kamran Siddiqui","doi":"10.15672/hujms.1240245","DOIUrl":"https://doi.org/10.15672/hujms.1240245","url":null,"abstract":"In this paper, we discuss the concept of total graph and computed some topological indices. If $Theta$ is a simple graph, then the elements of $Theta$ are the vertices $Theta_V$ and edges $Theta_E$. For $ e=uacute{u}in Theta_E$, the vertex $u$ and edge $e$, as well as $acute{u}$ and $e$, are incident. We define the general harmonic $(GH)$ index and general sum connectivity $(GS)$ index for graph $Theta$ regarding incident vertex-edge degrees as: $H_s^{alpha}(Theta)=sum_{eacute{u}}big(frac{2}{aleph_{acute{u}}+aleph_{e}}big)^{alpha}$ and $hat{chi}_s^{alpha}(Theta)=sum_{eacute{u}}(aleph_{acute{u}}+aleph_{e})^{alpha}$, where $alpha$ is any real number. In this article, we derive the closed formulas for a few standard graphs for $(GH)$ and $(GS)$ indices and then go on to calculate the lowest and the greatest general harmonic index, as well as the general sum-connectivity index, for various graphs that correspond to their total graphs.","PeriodicalId":55078,"journal":{"name":"Hacettepe Journal of Mathematics and Statistics","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2024-04-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140705266","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
Finite $p$-groups in which the normalizer of each nonnormal subgroup is small 每个非正则子群的正则都很小的有限 p$ 群
IF 0.8 4区 数学
Hacettepe Journal of Mathematics and Statistics Pub Date : 2024-04-14 DOI: 10.15672/hujms.1362734
Lu Gong
{"title":"Finite $p$-groups in which the normalizer of each nonnormal subgroup is small","authors":"Lu Gong","doi":"10.15672/hujms.1362734","DOIUrl":"https://doi.org/10.15672/hujms.1362734","url":null,"abstract":"Let $G$ be a finite non-Dedekindian $p$-group which satisfies $N_G(H)=HZ(G)$ for each nonnormal subgroup $H$, we call it an $NS$-group. \u0000In this paper, it is proved that an $NS$-group is the product of minimal nonabelian group and the center.","PeriodicalId":55078,"journal":{"name":"Hacettepe Journal of Mathematics and Statistics","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2024-04-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140706201","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
Fuzzifying bornivorous sets of fuzzifying bornological linear spaces 模糊化生化线性空间的模糊化生化集
IF 0.8 4区 数学
Hacettepe Journal of Mathematics and Statistics Pub Date : 2024-04-14 DOI: 10.15672/hujms.1264856
C. H. Yan
{"title":"Fuzzifying bornivorous sets of fuzzifying bornological linear spaces","authors":"C. H. Yan","doi":"10.15672/hujms.1264856","DOIUrl":"https://doi.org/10.15672/hujms.1264856","url":null,"abstract":"The main purpose of this paper is to introduce a notion of \u0000fuzzifying bornivorous sets of fuzzifying bornological linear \u0000spaces. In particular, we provide an example of fuzzifying \u0000bornivorous sets on a fuzzifying topological linear space with its \u0000von Neumann bornology. Furthermore, the description of fuzzifying \u0000open sets of fuzzifying bornological linear spaces is showed and its \u0000equivalent illustration is discussed as well. In addition, we study \u0000the dual relationship of fuzzifying open and close sets. The \u0000fuzzifying topological space induced by fuzzifying open sets is also \u0000discussed.","PeriodicalId":55078,"journal":{"name":"Hacettepe Journal of Mathematics and Statistics","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2024-04-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140707079","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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