Georgian Mathematical Journal最新文献_第6页

Finite groups in which some particular invariant subgroups are TI-subgroups or subnormal subgroups 其中某些特定不变子群是 TI 子群或子法向子群的有限群

IF 0.7 4区数学 Q2 Mathematics

Georgian Mathematical Journal

Pub Date : 2024-01-30 DOI: 10.1515/gmj-2024-2001

Yifan Liu, Jiangtao Shi

Let A and G be finite groups such that A acts coprimely on G by automorphisms. We prove that if every self-centralizing non-nilpotent A-invariant subgroup of G is a TI-subgroup or a subnormal subgroup, then every non-nilpotent A-invariant subgroup of G is subnormal and G is p-nilpotent or p-closed for any prime divisor p of | G |

{|G|}

. If every self-centralizing non-metacyclic A-invariant subgroup of G is a TI-subgroup or a subnormal subgroup, then every non-metacyclic A-invariant subgroup of G is subnormal and G is solvable.

设 A 和 G 都是有限群，且 A 通过自动形共同作用于 G。我们证明，如果 G 的每个自中心化非零能 A 不变子群都是 TI 子群或子正常子群，那么 G 的每个非零能 A 不变子群都是子正常的，并且对于 | G | {|G|} 的任何素除数 p，G 都是 p 零能或 p 封闭的。如果 G 的每个自中心化非元胞 A 不变子群都是 TI 子群或子正常子群，那么 G 的每个非元胞 A 不变子群都是子正常的，并且 G 是可解的。

{"title":"Finite groups in which some particular invariant subgroups are TI-subgroups or subnormal subgroups","authors":"Yifan Liu, Jiangtao Shi","doi":"10.1515/gmj-2024-2001","DOIUrl":"https://doi.org/10.1515/gmj-2024-2001","url":null,"abstract":"Let A and G be finite groups such that A acts coprimely on G by automorphisms. We prove that if every self-centralizing non-nilpotent A-invariant subgroup of G is a TI-subgroup or a subnormal subgroup, then every non-nilpotent A-invariant subgroup of G is subnormal and G is p-nilpotent or p-closed for any prime divisor p of <m:math xmlns:m=\"http://www.w3.org/1998/Math/MathML\"> <m:mrow> <m:mo stretchy=\"false\">|</m:mo> <m:mi>G</m:mi> <m:mo stretchy=\"false\">|</m:mo> </m:mrow> </m:math> {|G|} . If every self-centralizing non-metacyclic A-invariant subgroup of G is a TI-subgroup or a subnormal subgroup, then every non-metacyclic A-invariant subgroup of G is subnormal and G is solvable.","PeriodicalId":55101,"journal":{"name":"Georgian Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-01-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139590014","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

Generalized essential spectra involving the class of g-g-Riesz operators 涉及 g-g-Riesz 算子类的广义本质谱

IF 0.7 4区数学 Q2 Mathematics

Georgian Mathematical Journal

Pub Date : 2024-01-30 DOI: 10.1515/gmj-2024-2002

Imen Ferjani, Omaima Kchaou, Bilel Krichen

In this paper, we explore the spectral properties of unbounded generalized Fredholm operators acting on a non-reflexive Banach space X. The results are formulated in terms of some topological conditions made on X or on its dual X *

{X^{*}}

. In addition, we introduce the concept of the so-called g-g-Riesz linear operators as an extension of Riesz operators. The obtained results are used to discuss the incidence of the behavior of generalized essential spectra. Furthermore, a relation between the generalized essential spectrum and the left (resp. the right) essential spectrum by means of g-Riesz perturbation is provided.

在本文中，我们探讨了作用于非反射巴拿赫空间 X 的无界广义弗雷德霍姆算子的谱性质。结果是根据对 X 或其对偶 X * {X^{*}} 的一些拓扑条件得出的。 .此外，我们还引入了所谓 g-g-Riesz 线性算子的概念，作为 Riesz 算子的扩展。所获得的结果被用来讨论广义本质谱行为的发生。此外，我们还通过 g-Riesz 扰动提供了广义本质谱与左（或右）本质谱之间的关系。

引用次数: 0

On the representation of solution for the perturbed quasi-linear controlled neutral functional-differential equation with the discontinuous initial condition 关于具有不连续初始条件的扰动准线性受控中性函微分方程解的表示法

IF 0.7 4区数学 Q2 Mathematics

Georgian Mathematical Journal

Pub Date : 2024-01-10 DOI: 10.1515/gmj-2023-2122

Abdeljalil Nachaoui, Tea Shavadze, Tamaz Tadumadze

The analytic relation between solutions of the original Cauchy problem and a corresponding perturbed problem is established. In the representation formula of solution, the effects of the discontinuous initial condition and perturbation of the initial data are revealed.

建立了原始 Cauchy 问题的解与相应扰动问题的解之间的解析关系。在解的表示公式中，揭示了不连续初始条件和初始数据扰动的影响。

引用次数: 0

A note on b-generalized (α,β)-derivations in prime rings 关于素环中 b 广义 (α,β)-derivations 的说明

IF 0.7 4区数学 Q2 Mathematics

Georgian Mathematical Journal

Pub Date : 2024-01-04 DOI: 10.1515/gmj-2023-2121

Nripendu Bera, Basudeb Dhara

Let R be a prime ring, let 0 ≠ b ∈ R

{0neq bin R}

, and let α and β be two automorphisms of R. Suppose that F : R → R

{F:Rrightarrow R}

, F 1 : R → R

{F_{1}:Rrightarrow R}

are two b-generalized ( α , β )

{(alpha,beta)}

-derivations of R associated with the same ( α , β )

{(alpha,beta)}

-derivation d : R → R

d:Rrightarrow R

, and let G

设 R 是素环，设 0≠b∈R {0neq bin R} ，设 α 和 β 是 R 的两个自变量。假设 F : R → R {F:Rrightarrow R} , F 1 : R → R {F_{1}:Rrightarrow R} 是 R 的两个自变量。 , F 1 : R → R {F_{1}:Rrightarrow R} 是 R 的两个 b-generalized ( α , β ) {(alpha,beta)} -derivation ，与同一个 ( α , β ) {(alpha,beta)} -derivation d 相关联： R → R d:Rrightarrow R ，让 G : R → R G:Rrightarrow R 是 R 的一个 b-generalized ( α , β ) (alpha,beta) -derivation ，与 ( α , β ) (alpha,beta) -derivation g 相关联： R → R g:Rrightarrow R 。本文的主要目的是研究以下代数等式：(1) F ( x y ) + α ( x y ) + α ( y x ) = 0 {F(xy)+alpha(xy)+alpha(yx)=0} ，(2) F ( x y ) + α ( x y ) + α ( y x ) = 0 {F(xy)+alpha(xy)+alpha(yx)=0} 。 (2) F ( x y ) + G ( x ) α ( y ) + α ( y x ) = 0 {F(xy)+G(x)alpha(y)+alpha(yx)=0} (3) F ( x y ) + G ( y x ) + α ( x y ) + α ( y x ) = 0 {F(xy)+G(yx)+alpha(xy)+alpha(yx)=0} , (4) F ( x ) + G ( x ) + α ( y x ) = 0 {F(xy)+G(x)+alpha(yx)=0} (4) F ( x ) F ( y ) + G ( x ) α ( y ) + α ( y x ) = 0 {F(x)F(y)+G(x)alpha(y)+alpha(yx)=0} , (5) F ( x y ) + G ( yx ) + α ( y x ) = 0 {F(x)F(y)+G(x)alpha(yx)=0} (5) F ( x y ) + d ( x ) F 1 ( y ) + α ( x y ) = 0 {F(xy)+d(x)F_{1}(y)+alpha(xy)=0} (6) F ( x y ) + d ( x ) F 1 ( y ) = 0 {F(xy)+d(x)F_{1}(y)=0} , (7) F ( x y ) + d ( x ) F 1 ( y ) = 0 {F(xy)+d(x)F_{1}(y)=0} (7) F ( x y ) + d ( x ) F 1 ( y ) + α ( y x ) = 0 {F(xy)+d(x)F_{1}(y)+alpha(yx)=0} , (8) F ( x y ) + d ( x ) F 1 ( y ) = 0 {F(xy)+d(x)F_{1}(y)+alpha(yx)=0} (8) F ( x y ) + d ( x ) F 1 ( y ) + α ( x y ) + α ( y x ) = 0 {F(xy)+d(x)F_{1}(y)+alpha(xy)+alpha(yx)=0} , (9) F ( x y ) + d ( x ) F 1 ( y ) + α ( y x ) = 0 {F(xy)+d(x)F_{1}(y)+alpha(yx)=0} (9) F ( x y ) + d ( x ) F 1 ( y ) + α ( y x ) - α ( x y ) = 0 {F(xy)+d(x)F_{1}(y)+alpha(yx)-alpha(xy)=0} , (10) [ F ( x y ) +d(x)F_{1}(y)+alpha(yx)-alpha(xy)=0} (10) [ F ( x ) , x ] α , β = 0 {[F(x),x]_{alpha,beta}=0} , (11) ( F ( x ) , x ] α , β = 0 {[F(x),x]_{alpha,beta}=0} (11) ( F ( x ) ∘ x ) α , β = 0 {(F(x)circ x)_{alpha,beta}=0} , (12) F ( [ x ] α , β = 0 {[F(x)circ x]_{alpha,beta}=0} (12) F ( [ x , y ] ) = [ x , y ] α , β {F([x,y])=[x,y]_{alpha,beta}} (13) F ( x ∘ y ) = ( x ∘ y ) α , β {F(xcirc y)=(xcirc y)_{alpha,beta}} for all x , y {x,y} in some suitable subset of R.

引用次数: 0

Numerical approaches for solution of hyperbolic difference equations on circle 圆上双曲差分方程的数值求解方法

IF 0.7 4区数学 Q2 Mathematics

Georgian Mathematical Journal

Pub Date : 2024-01-03 DOI: 10.1515/gmj-2023-2103

Allaberen Ashyralyev, Fatih Hezenci, Yasar Sozen

The present paper considers nonlocal boundary value problems for hyperbolic equations on the circle T 1

mathbb{T}^{1}

. The first-order modified difference scheme for the numerical solution of nonlocal boundary value problems for hyperbolic equations on a circle is presented. The stability and coercivity estimates in various Hölder norms for solutions of the difference schemes are established. Moreover, numerical examples are provided.

本文研究了圆 T 1 mathbb{T}^{1} 上双曲方程的非局部边界值问题。本文提出了用于圆上双曲方程非局部边界值问题数值求解的一阶修正差分方案。建立了差分方案解在各种赫尔德规范下的稳定性和矫顽力估计。此外，还提供了数值示例。

引用次数: 0

Multiplicity result for a (p(x),q(x))-Laplacian-like system with indefinite weights 具有不确定权重的 (p(x),q(x)) 类似拉普拉契系统的多重性结果

IF 0.7 4区数学 Q2 Mathematics

Georgian Mathematical Journal

Pub Date : 2024-01-01 DOI: 10.1515/gmj-2023-2107

Khaled Kefi, Chaima Nefzi

Under some suitable conditions, we show that at least three weak solutions exist for a system of differential equations involving the ( p ⁢ ( x ) , q ⁢ ( x ) )

{(p(x),q(x))}

Laplacian-like with indefinite weights. The proof is related to the Bonanno–Marano critical theorem (Appl. Anal. 89 (2010), 1–10).

在一些合适的条件下，我们证明了涉及 ( p ( x ) , q ( x ) ) 的微分方程系统至少存在三个弱解 {(p(x),q(x))} 的微分方程系统至少存在三个弱解。证明与 Bonanno-Marano 临界定理有关（Appl.89 (2010), 1-10).

引用次数: 0

Two presentations of a weak type inequality for geometric maximal operators 几何最大算子弱型不等式的两种呈现形式

IF 0.7 4区数学 Q2 Mathematics

Georgian Mathematical Journal

Pub Date : 2024-01-01 DOI: 10.1515/gmj-2023-2113

Paul Hagelstein, Giorgi Oniani, Alex Stokolos

Let Φ : [ 0 , ∞ ) → [ 0 , ∞ )

{Phi:[0,infty)rightarrow[0,infty)}

be a Young’s function satisfying the Δ 2

{Delta_{2}}

-condition and let M ℬ

{M_{mathcal{B}}}

be the geometric maximal operator associated to a homothecy invariant basis ℬ

{mathcal{B}}

acting on measurable functions on ℝ n

{mathbb{R}^{n}}

. Let Q be the unit cube in ℝ n

{mathbb{R}^{n}}

and let L Φ ⁢

设 Φ : [ 0 , ∞ ) → [ 0 , ∞ ) {Phi:[0,infty)rightarrow[0,infty)}是满足Δ 2 {Delta_{2}} 的杨氏函数。 -条件，并让 M ℬ {M_{mathcal{B}} 是与作用于ℝ n {mathbb{R}^{n} 上可测函数的同神不变基 ℬ {mathcal{B}} 相关联的几何最大算子。｝ .设 Q 是 ℝ n {mathbb{R}^{n}} 中的单位立方体，设 L Φ ( Q ) {L^{Phi}(Q)} 是与Φ 相关的奥利兹空间，其规范为 ∥ f ∥ L Φ ( Q ) := inf { c > 0 : ∫ Q Φ ( | f | c ) ≤ 1 } . . |f|_{L^{Phi}(Q)}:=infBiggl{{}c>0:int_{Q}Phibigg{(}frac{|f|}{c}bigg{% )}leq 1Bigg{}}. 我们证明 M ℬ {M_{mathcal{B}}} 满足弱类型估计 | { x ∈ ℝ n : M ℬ f ( x ) > α }。 | ≤ C 1 ∫ ℝ n Φ ( | f | α ) |{xinmathbb{R}^{n}:M_{{mathcal{B}}kern 1.422638ptf(x)>alpha}|leq C_{1}% int_{mathbb{R}^{n}}Phibigg{(}frac{|f|}{alpha}bigg{)} for all measurable functions f on ℝ n {mathbb{R}^{n}} and α >；0 {alpha>0} 当且仅当 M ℬ {M_{mathcal{B}}} 满足弱类型估计 | { x∈ Q ： M ℬ f ( x ) > α } ≤ C 2 ∥ f ∥ L Φ ( Q ) α |{xin Q:M_{mathcal{B}}kern 1.422638ptf(x)>alpha}|leq C_{2}frac{|f|{% L^{Phi}(Q)}}{alpha} for all measurable functions f supported on Q and α > 0 {alpha>0} .由于这一等价性，我们证明，如果 Φ 满足上述条件，且 ℬ {mathcal{B}} 是一个同神不变基，微分 ℝ n {mathbb{R}^{n} 上所有可测函数 f 的积分，使得 ∫ ℝ n Φ ( | f | ) <；∞ {int_{mathbb{R}^{n}}Phi(|f|)<infty} 那么相关的最大算子 M ℬ {M_{mathcal{B}}} 满足上述两个弱类型估计。

引用次数: 0

Centralizing identities involving generalized derivations in prime rings 素环中涉及广义派生的集中化等式

IF 0.7 4区数学 Q2 Mathematics

Georgian Mathematical Journal

Pub Date : 2024-01-01 DOI: 10.1515/gmj-2023-2109

Vincenzo De Filippis, Pallavee Gupta, Shailesh Kumar Tiwari, Balchand Prajapati

Let ℛ

{mathcal{R}}

be a prime ring of characteristic not equal to 2, let 𝒰

{mathcal{U}}

be Utumi quotient ring of ℛ

{mathcal{R}}

and let 𝒞

{mathcal{C}}

be the extended centroid of ℛ

{mathcal{R}}

. Let Δ be a generalized derivation on ℛ

{mathcal{R}}

, and let δ 1

{delta_{1}}

and δ 2

{delta_{2}}

be derivations on

设 ℛ {mathcal{R}} 是一个特征不等于 2 的素环，设 𝒰 {mathcal{U}} 是 ℛ {mathcal{R}} 的乌图米商环，设 𝒞 {mathcal{C}} 是 ℛ {mathcal{R}} 的扩展中心点。 .设 Δ 是ℛ {mathcal{R}} 上的广义推导。让 δ 1 {delta_{1}} 和 δ 2 {delta_{2}} 是ℛ {mathcal{R}} 上的导数。 .设 p ( v ) {p(v)} 是ℛ {mathcal{R}} 上的多线性多项式。上的非中心值。 .如果 δ 1 ( Δ 2 ( p ( v ) ) p ( v ) ) = δ 2 ( Δ ( p ( v ) 2 ) ) {delta_{1}(Delta^{2}(p(v))p(v))=delta_{2}(Delta(p(v)^{2}))} 对于所有 v∈ ℛ n {vinmathcal{R}^{n}} ，那么我们就能找到完整的描述。那么我们就能找到对 Δ、δ 1 {delta_{1}} 和 δ 2 {delta_{2}} 的完整描述。 .

引用次数: 0

Almost measurable functions on probability spaces 概率空间上的几乎可测函数

IF 0.7 4区数学 Q2 Mathematics

Georgian Mathematical Journal

Pub Date : 2024-01-01 DOI: 10.1515/gmj-2023-2120

Alexander Kharazishvili

The notion of (real-valued) almost measurable functions on probability spaces is introduced and some of their properties are considered. It is shown that any almost measurable function may be treated as a quasi-random variable in the sense of [A. Kharazishvili, On some version of random variables, Trans. A. Razmadze Math. Inst. 177 2023, 1, 143–146].

引入了概率空间上（实值）几乎可测函数的概念，并考虑了它们的一些性质。研究表明，任何几乎可测函数都可被视为[A. Kharazishvili, On some version of random variable, Trans.Kharazishvili, On some version of random variables, Trans.A. Razmadze Math.177 2023, 1, 143-146].

引用次数: 0

On φ-u-S-flat modules and nonnil-u-S-injective modules 关于φ-u-S平模块和非零-u-S注入模块

IF 0.7 4区数学 Q2 Mathematics

Georgian Mathematical Journal

Pub Date : 2024-01-01 DOI: 10.1515/gmj-2023-2117

Hwankoo Kim, Najib Mahdou, El Houssaine Oubouhou

This paper introduces and studies the ϕ-u-S-flat (resp., nonnil-u-S-injective) modules, which are a generalization of both ϕ-flat modules and u-S-flat modules (resp., both nonnil-injective modules and u-S-injective modules). We give the Cartan–Eilenberg–Bass theorem for nonnil-u-S-Noetherian rings. Finally, we offer some new characterizations of the ϕ-von Neumann regular ring.

本文介绍并研究了ϕ-u-S-平（即非零-u-S-注入）模块，它是ϕ-平模块和u-S-平模块（即非零-注入模块和u-S-注入模块）的广义化。我们给出了非 nnil-u-S-Noetherian 环的 Cartan-Eilenberg-Bass 定理。最后，我们给出了 ϕ-von Neumann 正则环的一些新特征。

引用次数: 0

首页上一页

1
2
3
4
5
6
7
...
10

下一页尾页

类型

全部化学•材料生命科学医学物理工程技术环境•农林材料科学地球科学法学管理学化学环境科学与生态学计算机科学教育学经济学农林科学人文科学生物学数学物理与天体物理心理学综合性期刊其他工业工程理学历史学农学文学信息工程

数据库

全部 ACS Publications Elsevier ieeexplore Springer The Royal Society of Chemistry Wiley

期刊

Georgian Mathematical Journal

全部 Acc. Chem. Res. ACS Applied Bio Materials ACS Appl. Electron. Mater. ACS Appl. Energy Mater. ACS Appl. Mater. Interfaces ACS Appl. Nano Mater. ACS Appl. Polym. Mater. ACS BIOMATER-SCI ENG ACS Catal. ACS Cent. Sci. ACS Chem. Biol. ACS Chemical Health & Safety ACS Chem. Neurosci. ACS Comb. Sci. ACS Earth Space Chem. ACS Energy Lett. ACS Infect. Dis. ACS Macro Lett. ACS Mater. Lett. ACS Med. Chem. Lett. ACS Nano ACS Omega ACS Photonics ACS Sens. ACS Sustainable Chem. Eng. ACS Synth. Biol. Anal. Chem. BIOCHEMISTRY-US Bioconjugate Chem. BIOMACROMOLECULES Chem. Res. Toxicol. Chem. Rev. Chem. Mater. CRYST GROWTH DES ENERG FUEL Environ. Sci. Technol. Environ. Sci. Technol. Lett. Eur. J. Inorg. Chem. IND ENG CHEM RES Inorg. Chem. J. Agric. Food. Chem. J. Chem. Eng. Data J. Chem. Educ. J. Chem. Inf. Model. J. Chem. Theory Comput. J. Med. Chem. J. Nat. Prod. J PROTEOME RES J. Am. Chem. Soc. LANGMUIR MACROMOLECULES Mol. Pharmaceutics Nano Lett. Org. Lett. ORG PROCESS RES DEV ORGANOMETALLICS J. Org. Chem. J. Phys. Chem. J. Phys. Chem. A J. Phys. Chem. B J. Phys. Chem. C J. Phys. Chem. Lett. Analyst Anal. Methods Biomater. Sci. Catal. Sci. Technol. Chem. Commun. Chem. Soc. Rev. CHEM EDUC RES PRACT CRYSTENGCOMM Dalton Trans. Energy Environ. Sci. ENVIRON SCI-NANO ENVIRON SCI-PROC IMP ENVIRON SCI-WAT RES Faraday Discuss. Food Funct. Green Chem. Inorg. Chem. Front. Integr. Biol. J. Anal. At. Spectrom. J. Mater. Chem. A J. Mater. Chem. B J. Mater. Chem. C Lab Chip Mater. Chem. Front. Mater. Horiz. MEDCHEMCOMM Metallomics Mol. Biosyst. Mol. Syst. Des. Eng. Nanoscale Nanoscale Horiz. Nat. Prod. Rep. New J. Chem. Org. Biomol. Chem. Org. Chem. Front. PHOTOCH PHOTOBIO SCI PCCP Polym. Chem.

﹀