Results 51 to 60 of about 1,616,014 (220)

Hilbert's Basis Theorem for Poisson Ore Extensions

Mathematische Nachrichten, EarlyView.
ABSTRACT We prove an analogue of Hilbert's basis theorem for Poisson Ore extensions and Poisson Laurent Ore extensions. We also obtain corresponding results for iterated Poisson Ore extensions and iterated Poisson Laurent Ore extensions associated to commuting Poisson‐pairs.
Per Bäck, Patrik Lundström, Johan Öinert, Johan Richter   +3 more
wiley   +1 more source

Symbolic Analysis for Boundary Problems: From Rewriting to Parametrized Groebner Bases [PDF]

, 2010
We review our algebraic framework for linear boundary problems (concentrating on ordinary differential equations). Its starting point is an appropriate algebraization of the domain of functions, which we have named integro-differential algebras.
Regensburger, Georg, Erich L. Kaltofen, Buchberger, Bruno, Rosenkranz, Markus, Tec, Loredana   +4 more
core   +1 more source

Low-Rank Parity-Check Codes Over Finite Commutative Rings [PDF]

, 2023
Low-Rank Parity-Check (LRPC) codes are a class of rank metric codes that have many applications specifically in network coding and cryptography. Recently, LRPC codes have been extended to Galois rings which are a specific case of finite rings.
Djomou, Franck Rivel Kamwa, Kamche, Hermann Tchatchiem, Fouotsa, Emmanuel, Kalachi, Hervé Talé   +3 more
core   +1 more source

On commuting probability of finite rings

Indagationes Mathematicae, 2017
The commuting probability of a finite ring $R$, denoted by $\Pr(R)$, is the probability that any two randomly chosen elements of $R$ commute. In this paper, we obtain several bounds for $\Pr(R)$ through a generalization of $\Pr(R)$. Further, we define ${\Z}$-isoclinism between two pairs of rings and show that the generalized commuting probability ...
Dutta, Jutirekha, Basnet, Dhiren Kumar, Nath, Rajat Kanti   +2 more
openaire   +3 more sources

Non‐Rigid 3D Shape Correspondences: From Foundations to Open Challenges and Opportunities

Computer Graphics Forum, EarlyView.
Abstract Estimating correspondences between deformed shape instances is a long‐standing problem in computer graphics; numerous applications, from texture transfer to statistical modelling, rely on recovering an accurate correspondence map. Many methods have thus been proposed to tackle this challenging problem from varying perspectives, depending on ...
A. Zhuravlev, L. Bastian, D. Cao, N. El Amrani, P. Roetzer, V. Ehm, R. Marin, H. Nishizawa, S. Morishima, C. Theobalt, N. Navab, D. Cremers, F. Bernard, Z. Lähner, V. Golyanik   +14 more
wiley   +1 more source

Further Results on Action of Finite Groups on Commutative Rings [PDF]

مجلة جامعة الانبار للعلوم الصرفة, 2013
Let R be a commutative ring with identity 1 and G be a finite group of automorphisms of R of order n,Let RG be the fixed subring of R. In this paper we study the relations between the ideals of RG and R and we study RG In case R is e-ring(field).
Sind K.Ibrahim
doaj   +1 more source

Asymptotics of Time‐Varying Processes in Continuous‐Time Using Locally Stationary Approximations

Journal of Time Series Analysis, EarlyView.
ABSTRACT We introduce a general theory on stationary approximations for locally stationary continuous‐time processes. Based on the stationary approximation, we use θ$$ \theta $$‐weak dependence to establish laws of large numbers and central limit type results under different observation schemes.
Robert Stelzer, Bennet Ströh
wiley   +1 more source

Fitting ideals and module structure [PDF]

, 2002
Let R be a commutative ring with a 1. Original work by H. Fitting showed how we can associate to each finitely generated E-module a unique sequence of R-ideals, which are known as Fitting Ideals. The aim of this thesis is to undertake an investigation of
Grime, Peter John
core  

γ-Dual Codes over Finite Commutative Chain Rings

Axioms
In this article, the notion of γ-dual codes over finite chain rings is introduced as an extension of dual codes over finite chain rings. Various characteristics and properties of γ-dual codes over finite chain rings are explored.
Hai Q. Dinh, Hiep L. Thi, Roengchai Tansuchat   +2 more
doaj   +1 more source

The Additive Logic of Epistemic Reasons: An Axiomatic Account

Theoria, EarlyView.
ABSTRACT The article argues for a system of axioms that is meant to capture the logic of normative reasons for belief. The system concerns a primitive direct‐reason relation, a defined doxastic‐reason relation, and a primitive function for the revision of rational belief by reasons.
Hannes Leitgeb
wiley   +1 more source