Advances in Representation Theory of Algebras

A special issue of Axioms (ISSN 2075-1680). This special issue belongs to the section "Algebra and Number Theory".

Deadline for manuscript submissions: 31 January 2027 | Viewed by 897

Special Issue Editors

Department of Mathematics, Shanghai University, Shanghai, China
Interests: triangulated categories and derived categories; gorenstein homological algebras

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Guest Editor
Instituto de Matemática Interdisciplinar, Departamento de Geometría y Topología, Universidad Complutense de Madrid, Plaza de Ciencias 3, E-28040 Madrid, Spain
Interests: real and complex lie algebras and groups; differential forms and distribution theory; contractions and deformations; Casimir invariants; symmetries in physics; representation theory; lie group analysis of differential equations; Lagrangian and Hamiltonian formalism in classical mechanics; integrable and superintegrable systems; symmetry-conditioned perturbation theory; inverse problems in dynamics; supersymmetry
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Special Issue Information

Dear Colleagues,

The representation theory of algebras is a new branch of algebra that emerged in the early 1970s. Its fundamental focus is the study of module categories on Artin algebra and the exploration of algebraic structures via module theory. Since then, this theory has developed significantly and become closer to perfection, leading to new insights in the field. This Special Issue, “Advances in Representation Theory of Algebras”, is dedicated to publishing high-quality papers and advancing research in this area.

The submission of original research articles and reviews is welcome. Research areas may include (but are not limited to) the following:

triangulated categories, derived categories, singular categories, the representation of quiver, homological algebras, Gorenstein homological algebras, quasi-hereditary algebras, AR theory, and tilting theory.

I look forward to receiving your contributions.

Dr. Nan Gao
Dr. Rutwig Campoamor-Stursberg
Guest Editors

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 250 words) can be sent to the Editorial Office for assessment.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Axioms is an international peer-reviewed open access monthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2400 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • triangulated categories
  • derived categories
  • singular categories
  • representation of quiver
  • homological algebras
  • gorenstein homological algebras
  • quasi-hereditary algebras
  • AR theory
  • tilting theory

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Published Papers (1 paper)

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Research

7 pages, 240 KB  
Article
Singular Equivalences and ϕ-Dimensions
by Jinrui Yang and Yongyun Qin
Axioms 2026, 15(2), 96; https://doi.org/10.3390/axioms15020096 - 28 Jan 2026
Viewed by 481
Abstract
The ϕ-dimension of an algebra is a homological invariant arising from the Igusa–Todorov function. In this paper, we establish a new bound on the ϕ-dimensions of two algebras related by singular equivalences of the Morita-type with level. Full article
(This article belongs to the Special Issue Advances in Representation Theory of Algebras)
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