ALGEBRA COLLOQUIUM是1994年初创刊的国际数学期刊，由中国科学院数学与系统科学研究院与苏州大学联合主编，英文版每季3月、6月、9月和12月出版。 .代数学术讨论会载有纯代数和应用代数领域的高水平原创研究文章。也考虑发表来自相关领域且适用于代数的论文。本刊旨在反映代数的最新发展，促进国际学术交流。

The Algebra Colloquium is an international mathematics journal founded in 1994, co-published by the Academy of Mathematics and Systems Science, Chinese Academy of Sciences, and Soochow University. The English version is published quarterly in March, June, September, and December. The journal features high-quality original research articles in pure and applied algebra, and also considers papers from related fields that are applicable to algebra. The aim of this journal is to reflect the latest developments in algebra and to promote international academic exchange.

《Algebra Colloquium》是1994年创办的国际数学期刊，由中国科学院数学与系统科学研究院与苏州大学联合主办。该期刊英文版每年出版四期，分别在3月、6月、9月和12月发行。期刊主要刊载纯代数和应用代数领域的高水平原创研究文章，同时也欢迎相关领域的研究论文，前提是其内容与代数相关。本刊旨在反映代数领域的最新发展，促进国际学术交流。

Algebra Colloquium

We introduce the notion of a quadratic graph, which is a graph whose eigenvalues are integral or quadratic algebraic integral, and we determine nine infinite families of quadratic starlike trees, which are just all the quadratic starlike trees including integral starlike trees. Thus, the quadratic starlike trees are completely characterized. The expressions for characteristic polynomials of quadratic starlike trees are also given.

Yarong Hu

Qiongxiang Huang

Quadratic Starlike Trees

二次星形树

Let [Formula: see text] be a unital [Formula: see text]-ring. For any [Formula: see text], we apply the [Formula: see text]-core inverse to define a new class of partial orders in [Formula: see text], called the [Formula: see text]-core partial order. Suppose that [Formula: see text] are [Formula: see text]-core invertible. We say that [Formula: see text] is below [Formula: see text] under the [Formula: see text]-core partial order if [Formula: see text] and [Formula: see text], where [Formula: see text] denotes the [Formula: see text]-core inverse of [Formula: see text]. Characterizations of the [Formula: see text]-core partial order are given, and its relationships with several types of partial orders are also considered. In particular, we show that the core partial order coincides with the [Formula: see text]-core partial order, and the star partial order coincides with the [Formula: see text]-core partial order.

Huihui Zhu

Liyun Wu

A New Class of Partial Orders

一类新的偏序关系

In this paper, let $(\mathcal{A},\mathcal{B},\mathcal{C})$ be a recollement of extriangulated categories. We introduce the global dimension and extension dimension of extriangulated categories, and give some upper bounds of global dimensions (resp. extension dimensions) of the categories involved in $(\mathcal{A},\mathcal{B},\mathcal{C})$, which give a simultaneous generalization of some results in the recollement of abelian categories and triangulated categories.

Weili Gu

Xin Ma

Lingling Tan

Homological Dimensions of Extriangulated Categories and Recollements

Extriangulated范畴的同调维数与重构

Let [Formula: see text] be any positive integer and [Formula: see text] the edge ideal of a vertex-weighted oriented [Formula: see text]-cycle graph [Formula: see text]. We provide explicit formulas for the regularity and depth of [Formula: see text]. In particular, we find that the regularity of [Formula: see text] is a linear function; [Formula: see text], the set of associated prime ideals of [Formula: see text], equals [Formula: see text]; and the depth of [Formula: see text] is a constant for all [Formula: see text]. We also give some examples to show that these results are related to the direction selection of edges and the weight of vertices.

Hong Wang

Guangjun Zhu

Li Xu

Algebraic Properties of Powers of Edge Ideals of Vertex-Weighted Oriented Cycles

顶点加权有向环边理想的幂的代数性质

Let [Formula: see text] be a commutative domain with 1 and [Formula: see text] [Formula: see text] its field of quotients. In this note an [Formula: see text]-module [Formula: see text] is called [Formula: see text]-Warfield cotorsion if [Formula: see text], where [Formula: see text] denotes the class of all Warfield cotorsion [Formula: see text]-modules and [Formula: see text] the class of all [Formula: see text]-projective [Formula: see text]-modules. It is shown that [Formula: see text] is a PVMD if and only if all [Formula: see text]-cotorsion [Formula: see text]-modules are [Formula: see text]-Warfield cotorsion, and that [Formula: see text] is a Krull domain if and only if every [Formula: see text]-Matlis cotorsion strong [Formula: see text]-module over [Formula: see text] is a [Formula: see text]-Warfield cotorsion [Formula: see text]-module.

Yongyan Pu

Wei Zhao

Gaohua Tang

Fanggui Wang

Xuelian Xiao

On w∞ -Warfield Cotorsion Modules and Krull Domains

关于w∞ -Warfield余挠模与Krull域

In this paper, we give a sufficient condition under which an involution monoid generates a variety with continuum many subvarieties. According to this result, several involution [Formula: see text]-trivial monoids are shown to generate varieties with continuum many subvarieties. These examples include Rees quotients of free involution monoids, Lee monoids with involution, and Straubing monoids with involution.

Meng Gao

Wenting Zhang

Yanfeng Luo

Varieties of Involution J-Trivial Monoids with Continuum Many Subvarieties

具有连续多个子变种的J-Trivial幺半群的变种

Motivated by the concept of matching Rota-Baxter algebras arising from polarized associative Yang-Baxter equations and Volterra integral equations, we introduce the notion of a matching Rota-Baxter system, which generalizes the Rota-Baxter system proposed by Brzeziński. We show that this notion is also related to Yang-Baxter pairs and to matching pre-Lie algebras. We then modify the definition of matching Rota-Baxter systems by adding a curvature term, and make a connection with matching pre-Lie algebras and with compatible associative algebras. Furthermore, we study matching Rota-Baxter systems on a dendriform algebra and show how they induce matching quadri-algebra structures. Finally, we give a linear basis of free matching Rota-Baxter system by Gröbner-Shirshov bases methods.

Yi Zhang

Shuangjian Guo

Matching Rota-Baxter Systems and Gröbner-Shirshov Bases

匹配Rota-Baxter系统和Gröbner-Shirshov基

We present a new generalized version of Cline's formula and Jacobson's lemma for g-Drazin inverses in a ring. These generalized results extend many known results, e.g., Chen and Abdolyousefi [Generalized Jacobson's lemma in a Banach algebra, Comm. Algebra 49 (2021) 3263–3272], and Yan and Zeng [The generalized inverses of the products of two elements in a ring, Turkish J. Math. 44 (2020) 1744–1756].

Huanyin Chen

Marjan Sheibani

Generalized Cline's Formula and Jacobson's Lemma in a Ring

环中广义Cline公式与Jacobson引理

We consider stable representations of non-Dynkin quivers with respect to a central charge. These attract a lot of interest in mathematics and physics since they can be identified with so-called BPS states. Another motivation is the work of Dimitrov et al. on the phases of stable representations of the generalized Kronecker quiver. One aim is to explain for general Euclidean and wild quivers the behavior of phases of stable representations well known in some examples. In addition, we study especially the behavior of preinjective, postprojective and regular indecomposable modules. We show that the existence of a stable representation with self-extensions implies the existence of infinitely many stables without self-extensions for rigid central charges. In this case the phases of the stable representations approach one or two limit points. In particular, the phases are not dense in two arcs. The category of representations of acyclic quivers is a special case of rigid Abelian categories which show this behavior for rigid central charges.

Magnus Engenhorst

Phases of Stable Representations of Euclidean and Wild Quivers

欧几里得和野性箭图的稳定表示相位

We first show that if there is a counterexample to the two-dimensional Jacobian conjecture, then there exists a nonempty closed smooth affine surface in [Formula: see text] satisfying various properties. Next, we conjecture that such a surface does not exist.

短名	Algebra Colloq.
Journal Impact	0.53
国际分区	MATHEMATICS, APPLIED(Q4)
期刊索引	SCI Q4中科院 4 区中国科学引文数据库

ISSN	0219-1733, 1005-3867
h-index	30
国内分区	数学(4区)数学数学(4区)数学应用数学(4区)

出版信息	出版商: World Scientific Publishing Co. Pte Ltd，出版周期: ，期刊类型: journal，开源期刊: 否
基本数据	创刊年份: 1996，原创研究文献占比: ，自引率:， Gold OA占比:

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