Concept
Anneau euclidien
Publications associées (35)
The multivariate Serre conjecture ring
It is well-known that for any integral domain R, the Serre conjecture ring R(X), i.e., the localization of the univariate polynomial ring R[X] at monic polynomials, is a Bezout domain of Krull dimension
San Diego2023Dense Packings via Lifts of Codes to Division Rings
Nihar Prakash Gargava, Vlad Serban
obtain algorithmically effective versions of the dense lattice sphere packings constructed from orders in Q-division rings by the first author. The lattices in question are lifts of suitable codes from prime characteristic to orders O in Q-division rings a ...
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC2023Generalised Implicit Neural Representations
We consider the problem of learning implicit neural representations (INRs) for signals on non-Euclidean domains. In the Euclidean case, INRs are trained on a discrete sampling of a signal over a regular lattice. Here, we assume that the continuous signal e ...
2022Symplectic Model-Reduction with a Weighted Inner Product
Jan Sickmann Hesthaven, Babak Maboudi Afkham
In the recent years, considerable attention has been paid to preserving structures and invariants in reduced basis methods, in order to enhance the stability and robustness of the reduced system. In the context of Hamiltonian systems, symplectic model redu ...
2018Computer Algebraic Approach to Verification and Debugging of Galois Field Multipliers
Cunxi Yu, Maciej Jerzy Ciesielski
The paper presents a novel method to verify and debug gate-level arithmetic circuits implemented in Galois Field arithmetic. The method is based on forward reduction of the specification polynomials of the circuit in GF(2(m)) using GF(2) models of its logi ...
IEEE2018On finitely generated modules over quasi-Euclidean rings
Let R be a unital commutative ring, and let M be an R-module that is generated by k elements but not less. Let be the subgroup of generated by the elementary matrices. In this paper we study the action of by matrix multiplication on the set of unimodular r ...
Springer Verlag2017