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Journal of Algebra and Its Applications最新文献

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Finite p-groups in which the cores of all the nonnormal subgroups are in the center 所有非正则子群的核心都在中心的有限 p 群
IF 0.8 3区 数学 Q2 Mathematics
Journal of Algebra and Its Applications
Pub Date : 2024-02-27 DOI: 10.1142/s0219498825502020
Libo Zhao, Yangming Li, Lü Gong, Xiuyun Guo

Let G be a finite p-group. Then G is said to be a CZ-group if HG≤Z(G) for every nonnormal subgroup H of G. In this paper, we study the CZ-group G and get c(G)≤3. It is proved that exp(G′)=p if c(G)=2 and |G|≤p5 if c(G)=3.

设 G 是有限 p 群。本文研究 CZ 群 G，得到 c(G)≤3。证明了当 c(G)=2 时，exp(G′)=p；当 c(G)=3 时，|G|≤p5。
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引用次数: 0
Relative Gorenstein flat modules and Foxby classes and their model structures 相对戈伦斯坦平面模块和福克斯比类及其模型结构
IF 0.8 3区 数学 Q2 Mathematics
Journal of Algebra and Its Applications
Pub Date : 2024-02-22 DOI: 10.1142/s0219498825501944
Driss Bennis, Rachid El Maaouy, J. R. García Rozas, Luis Oyonarte

We introduce the concepts of relative (strongly) cotorsion and relative Gorenstein cotorsion modules for a non-necessarily semidualizing module and prove that there exists a unique hereditary abelian model structure where the cofibrations are the monomorphisms with relative Gorenstein flat cokernel and the fibrations are the epimorphisms with relative cotorsion kernel belonging to the Bass class. In the particular case of a semidualizing module, we investigate the existence of abelian model structures on the category of left (right) R-modules where the cofibrations are the epimorphisms (monomorphisms) with kernel (cokernel) belonging to the Bass (Auslander) class. We also show that the class of relative Gorenstein flat modules and the Bass class are part of weak AB-contexts.

我们为一个非必然半化模块引入了相对（强）扭转模块和相对戈伦斯坦扭转模块的概念，并证明存在一个唯一的遗传无性模型结构，其中共纤是具有相对戈伦斯坦平面内核的单形变，纤是具有相对扭转内核的属于巴斯类的外形变。在半双化模子的特殊情况下，我们研究了左（右）R 模子范畴中的无边模型结构的存在性，其中共纤是具有属于 Bass（Auslander）类的核（cokernel）的外变形（单变形）。我们还证明了相对戈伦斯坦平面模块类和巴斯类是弱 AB 上下文的一部分。
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引用次数: 0
On the norm of the lower central series in a finite group 论有限群中的下中心数列的规范
IF 0.8 3区 数学 Q2 Mathematics
Journal of Algebra and Its Applications
Pub Date : 2024-02-20 DOI: 10.1142/s0219498825502032
Lü Gong, Ziru Jing, Libo Zhao, Baojun Li

In this paper, the norm Li(G) of the lower central series in a finite group G is introduced, which unifies the norm of derived subgroups and nilpotent residuals. Some propositions of Li(G) are obtained, and some related subgroups as well as their equivalent propositions can also be found.

本文介绍了有限群 G 中下中心数列的规范 Li(G)，它统一了导出子群和无穷残差的规范。本文得到了 Li(G) 的一些命题，还找到了一些相关子群及其等价命题。
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引用次数: 0
Quandles with one nontrivial column 有一个非三维列的类数
IF 0.8 3区 数学 Q2 Mathematics
Journal of Algebra and Its Applications
Pub Date : 2024-02-19 DOI: 10.1142/s0219498825502019
Nicholas Cazet

The axioms of a quandle imply that the columns of its Cayley table are permutations. This paper studies quandles with exactly one non-trivially permuted column. Their automorphism groups, quandle polynomials, (symmetric) cohomology groups, and Hom quandles are studied. The quiver and cocycle invariant of links using these quandles are shown to relate to linking number.

quandle 的公理意味着其 Cayley 表的列是排列。本文研究的是恰好有一列非三向排列的 quandle。本文研究了它们的自变群、Quandle 多项式、（对称）同调群和 Hom quandles。研究表明，使用这些阶数的链接的簇不变性和环不变性与链接数有关。
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引用次数: 0
On finite groups with weakly σ-normal subgroups 关于具有弱 σ 正则子群的有限群
IF 0.8 3区 数学 Q2 Mathematics
Journal of Algebra and Its Applications
Pub Date : 2024-02-16 DOI: 10.1142/s0219498825502172
Juping Tang, Jiuzhou Ji, Nanying Yang
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引用次数: 0
Left and right hybrid (b,c)-core inverses in semigroups with involution 有卷积的半群中的左核和右核混合 (b,c)- 核逆变换
IF 0.8 3区 数学 Q2 Mathematics
Journal of Algebra and Its Applications
Pub Date : 2024-02-16 DOI: 10.1142/s0219498825502160
Huihui Zhu, Chenxiang Hong, D. Mosić
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引用次数: 0
On Computing Finite Index Subgroups of PSL2(ℤ) 论计算 PSL2(ℤ) 的有限索引子群
IF 0.8 3区 数学 Q2 Mathematics
Journal of Algebra and Its Applications
Pub Date : 2024-02-15 DOI: 10.1142/s0219498825502159
Nicolas Mayorga Uruburu, Ariel Pacetti, Leandro Vendramin
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引用次数: 0
Superpower Graphs of Finite Groups 有限群的超级图谱
IF 0.8 3区 数学 Q2 Mathematics
Journal of Algebra and Its Applications
Pub Date : 2024-02-15 DOI: 10.1142/s0219498825502147
Ajay Kumar, Lavanya Selvaganesh, Peter J. Cameron, T. Tamizh Chelvam
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引用次数: 0
Investigation of ID-Derivations of Finite-Dimensional Nilpotent Lie Algebras 探究有限维无potent Liegebras 的 ID 衍生
IF 0.8 3区 数学 Q2 Mathematics
Journal of Algebra and Its Applications
Pub Date : 2024-02-15 DOI: 10.1142/s0219498825502135
S. M. Moosavinejad, Farshid Saeedi
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引用次数: 0
Cohomology and deformation theory of crossed homomorphisms of Leibniz algebras 莱布尼兹代数交叉同态的同调与变形理论
IF 0.8 3区 数学 Q2 Mathematics
Journal of Algebra and Its Applications
Pub Date : 2024-02-14 DOI: 10.1142/s0219498825501956
Yizheng Li, Dingguo Wang

In this paper, we construct a differential graded Lie algebra whose Maurer–Cartan elements are given by crossed homomorphisms on Leibniz algebras. This allows us to define cohomology for a crossed homomorphism. Finally, we study linear deformations, formal deformations and extendibility of finite order deformations of a crossed homomorphism in terms of the cohomology theory.

在本文中，我们构建了一个微分级数李代数，它的毛勒-卡尔坦元素是由莱布尼兹代数上的交叉同态给出的。这使我们能够定义交叉同态的同调。最后，我们用同调理论研究了交叉同态的线性变形、形式变形和有限阶变形的可扩展性。
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引用次数: 0
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