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Alfred Geroldinger

Alfred Geroldinger

Overview

Alfred Geroldinger is affiliated with the University of Graz in Austria. Their research activity spans across Mathematics and Computer Science, with a substantial focus on Algebra and Number Theory as well as Computational Theory and Mathematics. They have contributed to multiple subfields including Geometry and Topology, Artificial Intelligence, and Management Science and Operations Research.

The main topics covered by their body of work include Rings, Modules, and Algebras; Commutative Algebra and Its Applications; Advanced Algebra and Logic; Advanced Topology and Set Theory; semigroups and automata theory; Algebraic structures and combinatorial models; and Algebraic Geometry and Number Theory.

Geroldinger's recent papers reflect a consistent focus on algebraic structures and factorization theory. Notable publications are:

  • Factorization theory in commutative monoids (2020), published in Semigroup Forum
  • On the arithmetic of monoids of ideals (2022), published in Arkiv för matematik
  • On strongly primary monoids, with a focus on Puiseux monoids (2020), published in Journal of Algebra
  • On product-one sequences over dihedral groups (2020), published in Journal of Algebra and Its Applications
  • A characterization of length-factorial Krull monoids (2021), published in arXiv (Cornell University)

Their publication record includes a significant presence in arXiv, with 14 papers, alongside contributions to the Israel Journal of Mathematics, Communications in Algebra, Semigroup Forum, and Journal of Algebra.

Geroldinger has collaborated frequently with Qinghai Zhong, Andreas Reinhart, Franz Halter-Koch, Felix Gotti, and Aqsa Bashir. The counts of coauthored works indicate ongoing collaborative research efforts within the algebraic and number theory communities.

In addition to articles, Geroldinger has authored a book titled Advances in Rings, Modules and Factorizations, published by Springer International Publishing in 2020.

Best Publications

  • Non-Unique Factorizations : Algebraic, Combinatorial and Analytic Theory

    Alfred Geroldinger;Franz Halter-Koch

  • Non-unique factorizations

    Alfred Geroldinger

  • Zero-sum problems in finite abelian groups: A survey

    Weidong Gao;Alfred Geroldinger

  • Combinatorial Number Theory and Additive Group Theory

    Alfred Geroldinger;Imre Z. Ruzsa

  • On Davenport's constant

    Alfred Geroldinger;Rudolf Schneider

  • Sets of Lengths

    Alfred Geroldinger

  • On Long Minimal Zero Sequences in Finite Abelian Groups

    Weidong Gao;Alfred Geroldinger

  • Über nicht-eindeutige Zerlegungen in irreduzible Elemente

    Alfred Geroldinger

  • Zero-sum problems in finite abelian groups and affine caps

    Yves Edel;Christian Elsholtz;Alfred Geroldinger;Silke Kubertin

  • On products of k atoms

    Weidong Gao;Alfred Geroldinger

  • Semigroup-theoretical characterizations of arithmetical invariants with applications to numerical monoids and Krull monoids

    Víctor Blanco;Pedro A. García-Sánchez;Alfred Geroldinger

  • Local tameness of v-noetherian monoids

    Alfred Geroldinger;Wolfgang Hassler

  • Factorization theory in commutative monoids

    Alfred Geroldinger;Qinghai Zhong

  • The Interplay of Invariant Theory with Multiplicative Ideal Theory and with Arithmetic Combinatorics

    Kálmán Sándor Cziszter;Mátyás Domokos;A. Geroldinger

  • Inverse zero-sum problems III

    Weidong Gao;Alfred Geroldinger;David J. Grynkiewicz

  • Inverse zero-sum problems

    Weidong Gao;Alfred Geroldinger;Wolfgang A. Schmid

  • Arithmetic of seminormal weakly Krull monoids and domains

    Alfred Geroldinger;Florian Kainrath;Andreas Reinhart

  • Arithmetic of Mori domains and monoids

    Alfred Geroldinger;Wolfgang Hassler

  • On the arithmetic of tame monoids with applications to Krull monoids and Mori domains

    Alfred Geroldinger;Florian Kainrath

  • The large Davenport constant I: Groups with a cyclic, index 2 subgroup

    Alfred Geroldinger;David J. Grynkiewicz

Frequent Co-Authors

Marco Fontana
Marco Fontana Roma Tre University

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