Alen Đurić
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Research Subjects
Alen Đurić has a total of 8 co-authors. Here are the top co-authors by number of shared publications:
- Polona Oblak
Faculty of Computer and Information Science, University of Ljubljana, Ljubljana, Slovenia
3 shared publications - Dusko Bogdanic
Department of Mathematics and Computer Science University of Banja Luka Bosnia and Herzegovina
2 shared publications - Klemen Šivic
Faculty of mathematics and physics Jadranska 19 1000 Ljubljana Slovenia
2 shared publications Sara Koljančić
Univ Banja Luka, Fac Nat Sci & Math, Mladena Stojanovica 2, Banja Luka 78000, Bosnia & Herceg
2 shared publications- Nik Stopar
Univ Ljubljana, Fac Elect Engn, Ljubljana, Slovenia
1 shared publication - Pierre-Louis Curien
IRIF, pôle PPS, équipe Picube, CNRS, Université Paris Cité and Inria, France
1 shared publication
Latest Publications
- Open Access
- 15 March 2024
- Published by Elsevier in Linear Algebra and its Applications
- Vol. 690, 59-90
Jordan structures of nilpotent matrices in the centralizer of a nilpotent matrix with two Jordan blocks of the same size
- 15 March 2024
- Published by Elsevier in Linear Algebra and its Applications
- Vol. 690, 59-90
Open AccessJordan structures of nilpotent matrices in the centralizer of a nilpotent matrix with two Jordan blocks of the same size
- Open Access
Coherent presentations of monoids with a right-noetherian Garside family
This paper shows how to construct coherent presentations (presentations by generators, relations and relations among relations) of monoids admitting a right-noetherian Garside family. Thereby, it resolves the question of finding a unifying generalisation of the following two distinct extensions of construction of coherent presentations for spherical Artin-Tits monoids: to general Artin-Tits monoids, and to Garside monoids. The result is applied to some monoids which are neither Artin-Tits nor Garside.
Open AccessCoherent presentations of monoids with a right-noetherian Garside family
This paper shows how to construct coherent presentations (presentations by generators, relations and relations among relations) of monoids admitting a right-noetherian Garside family. Thereby, it resolves the question of finding a unifying generalisation of the following two distinct extensions of construction of coherent presentations for spherical Artin-Tits monoids: to general Artin-Tits monoids, and to Garside monoids. The result is applied to some monoids which are neither Artin-Tits nor Garside.
- Open Access
Jordan structures of nilpotent matrices in the centralizer of a nilpotent matrix with two Jordan blocks of the same size
In this paper we characterize all nilpotent orbits under the action by conjugation that intersect the nilpotent centralizer of a nilpotent matrix $B$ consisting of two Jordan blocks of the same size. We list all the possible Jordan canonical forms of the nilpotent matrices that commute with $B$ by characterizing the corresponding partitions.Open AccessJordan structures of nilpotent matrices in the centralizer of a nilpotent matrix with two Jordan blocks of the same size
In this paper we characterize all nilpotent orbits under the action by conjugation that intersect the nilpotent centralizer of a nilpotent matrix $B$ consisting of two Jordan blocks of the same size. We list all the possible Jordan canonical forms of the nilpotent matrices that commute with $B$ by characterizing the corresponding partitions. - Open Access
The total zero-divisor graph of commutative rings
In this paper we initiate the study of the total zero-divisor graphs over commutative rings with unity. These graphs are constructed by both relations that arise from the zero-divisor graph and from the total graph of a ring. We characterize Artinian rings with the connected total zero-divisor graphs and give their diameters. Moreover, we compute major characteristics of the total zero-divisor graphs of the ring ${\mathbb Z}_m$ of integers modulo $m$ and prove that the total zero-divisor graphs of ${\mathbb Z}_m$ and ${\mathbb Z}_n$ are isomorphic if and only if $m=n$.Open AccessThe total zero-divisor graph of commutative rings
In this paper we initiate the study of the total zero-divisor graphs over commutative rings with unity. These graphs are constructed by both relations that arise from the zero-divisor graph and from the total graph of a ring. We characterize Artinian rings with the connected total zero-divisor graphs and give their diameters. Moreover, we compute major characteristics of the total zero-divisor graphs of the ring ${\mathbb Z}_m$ of integers modulo $m$ and prove that the total zero-divisor graphs of ${\mathbb Z}_m$ and ${\mathbb Z}_n$ are isomorphic if and only if $m=n$.