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Mathematics
Slovenia
2026

D-Index & Metrics

Mathematics

D-Index
40
Citations
7152
World Ranking
2042
National Ranking
2

Research.com Recognitions

  • 2026 - Research.com Mathematics in Slovenia Leader Award
  • 2025 - Research.com Mathematics in Slovenia Leader Award
  • 2022 - Research.com Mathematics in Slovenia Leader Award

Overview

Matej Brešar is affiliated with the University of Ljubljana in Slovenia. Their research spans primarily the field of Mathematics, with substantial contributions in Computer Science as well. The focus areas within Mathematics include Algebra and Number Theory, Mathematical Physics, Geometry and Topology, and Discrete Mathematics and Combinatorics. Within these areas, the main topics of work cover Advanced Topics in Algebra, Algebraic structures and combinatorial models, Matrix Theory and Algorithms, Advanced Operator Algebra Research, Rings, Modules, and Algebras, Finite Group Theory Research, and Synthesis and properties of polymers.

Brešar has authored numerous publications, with a strong record in specialized mathematical journals and repositories. Notable venues where their work appears consist of arXiv (Cornell University), Journal of Algebra, Linear and Multilinear Algebra, Bulletin of the London Mathematical Society, and Bulletin of Mathematical Sciences.

Their recent scholarly papers include:

  • The Waring problem for matrix algebras, II (2023), Bulletin of the London Mathematical Society
  • Functional identities and their applications (2023), Bulletin of Mathematical Sciences
  • Automorphisms and derivations of finite-dimensional algebras (2022), Journal of Algebra
  • Zero product preserving maps on matrix rings over division rings (2020), Contemporary Mathematics - American Mathematical Society

Books published by Brešar include "Zero Product Determined Algebras" (2021) via Frontiers in Mathematics, and the forthcoming "Introduction to Noncommutative Algebra" (2025) from Springer Nature.

Frequent collaborators in research projects include Peter Šemrl, M. L. C. Godoy, Žan Bajuk, A. R. Villena, and J. Alaminos.

Best Publications

  • Centralizing Mappings and Derivations in Prime Rings

    M. Bresar

  • On the distance of the composition of two derivations to the generalized derivations

    Matej Bresar

  • Commuting traces of biadditive mappings, commutativity-preserving mappings and Lie mappings

    Matej Brešar

  • Jordan derivations on semiprime rings

    M. Brešar

  • Jordan mappings of semiprime rings

    Matej Brešar

  • On Generalized Biderivations and Related Maps

    M. Bresar

  • Mappings which Preserve Idempotents, Local Automorphisms, and Local Derivations

    Matej Brešar;Peter Šemrl

  • Jordan derivations on prime rings

    M. Brešar;J. Vukman

  • Maps preserving zero products

    J. Alaminos;Matej Brešar;J. Extremera;A. R. Villena

  • On left derivations and related mappings

    M. Brešar;J. Vukman

  • Characterizing homomorphisms, derivations and multipliers in rings with idempotents

    Matej Brešar

  • Centralizing Maps in Prime Rings with Involution

    M. Bresar;W.S. Martindale;C.R. Miers

  • On some additive mappings in rings with involution

    M. Brešar;J. Vukman

  • Introduction to Noncommutative Algebra

    Matej Brešar

  • Characterizations of derivations on some normed algebras with involution

    Matej Brešar

  • On Herstein's Lie Map Conjectures, III

    Kostial I. Beidar;Matej Bresar;Mikhail A. Chebotar;W. S. Martindale

  • Linear Maps Preserving the Spectral Radius

    Matej Brešar;Peter Šemrl

  • On locally linearly dependent operators and derivations

    Matej Brešar;Peter Šemrl

  • Centralizing mappings on von Neumann algebras

    Matej Brešar

  • Strong commutativity preserving maps of semiprime rings

    Matej Brešar;C. Robert Miers

  • On Herstein’s Lie map conjectures, I

    Kostial I. Beidar;Matej Bresar;Mikhail A. Chebotar;W. S. Martindale

Frequent Co-Authors

Peter Šemrl
Peter Šemrl University of Ljubljana
Kaiming Zhao
Kaiming Zhao Wilfrid Laurier University
Claudio Procesi
Claudio Procesi Sapienza University of Rome

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