Congruences of edge-bipartite graphs with applications to Grothendieck group recognition I. Inflation algorithm revisited
A Mróz - Fundamenta INFormaticae, 2016 - content.iospress.com
We study edge-bipartite graphs (bigraphs), a class of signed graphs, by means of the
inflation algorithm which relies on performing certain elementary transformations on a given …
inflation algorithm which relies on performing certain elementary transformations on a given …
A study on contents distribution using electronic cash system
DG Lee, HG Oh, IY Lee - … on e-Technology, e-Commerce and e …, 2004 - ieeexplore.ieee.org
Electronic cash systems are used as payment tools of e-commerce. They should be
equipped with independence, transferability, and dividability, which are requirements of …
equipped with independence, transferability, and dividability, which are requirements of …
On the computational complexity of Bongartz's algorithm
A Mróz - Fundamenta Informaticae, 2013 - content.iospress.com
We study the complexity of Bongartz's algorithm for determining a maximal common direct
summand of a pair of modules M, N over k-algebra Λ; in particular, we estimate its …
summand of a pair of modules M, N over k-algebra Λ; in particular, we estimate its …
Experiences in symbolic computations for matrix problems
S Kasjan, A Mróz - … on Symbolic and Numeric Algorithms for …, 2012 - ieeexplore.ieee.org
We review our recent results concerning several computer algebra aspects of determining
canonical forms, performing a decomposition and deciding the isomorphism question for …
canonical forms, performing a decomposition and deciding the isomorphism question for …
Tree representations of the quiver
S Lénárt, Á Lőrinczi, I Szöllősi - Colloquium Mathematicum, 2021 - impan.pl
We explicitly describe tree representations of the canonically oriented quiver $\widetilde
{\mathbb {E}} _ {6} $. Recall that tree representations can be exhibited using matrices …
{\mathbb {E}} _ {6} $. Recall that tree representations can be exhibited using matrices …
Tree representations of the quiver
We explicitly describe field independent tree representations of the canonically oriented
quiver $\widetilde {\mathbb {D}} _ {m} $. Recall that matrices of tree representations involve …
quiver $\widetilde {\mathbb {D}} _ {m} $. Recall that matrices of tree representations involve …
The dimensions of the homomorphism spaces to indecomposable modules over the four subspace algebra
A Mróz - arXiv preprint arXiv:1207.2081, 2012 - arxiv.org
This is the addendum to the paper" On the Multiplicity Problem and the Isomorphism
Problem for the Four Subspace Algebra" Communications in Algebra, 40: 6 (2012), 2005 …
Problem for the Four Subspace Algebra" Communications in Algebra, 40: 6 (2012), 2005 …
[PDF][PDF] The indecomposable preprojective and preinjective representations of the quiver Dn
Á Lorinczi, C Szántó - Mathematica, 2014 - core.ac.uk
ÁBEL LORINCZI and CSABA SZÁNTÓ Abstract. Consider the quiver Dn and its finite
dimensional representations over the field k. We know due to Ringel in [7] that …
dimensional representations over the field k. We know due to Ringel in [7] that …
[HTML][HTML] On the normal forms of modules with respect to parametrizing bimodules
P Dowbor, A Mroz - Journal of Algebra, 2014 - Elsevier
We present a general solution of the isomorphism and multiplicity problems, restricted to the
class of all modules lying in homogeneous tubes, for tame algebras (Theorem 2.4). We …
class of all modules lying in homogeneous tubes, for tame algebras (Theorem 2.4). We …
[PDF][PDF] Proof of the tree module property for exceptional representations of the quiver E6
S Lénárt, Á Lőrinczi, I Szöllősi - arXiv preprint arXiv:2001.00016, 2019 - researchgate.net
This document contains the computer generated part of the proof of the main result in [12],
giving a complete and general list of tree representations corresponding to exceptional …
giving a complete and general list of tree representations corresponding to exceptional …