Results 191 to 200 of about 118,403 (253)

Hilbert's Basis Theorem for Poisson Ore Extensions

open access: yesMathematische 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   +3 more
wiley   +1 more source

On the Nonnegative Rank of Positive Operators

open access: yesMathematische Nachrichten, EarlyView.
ABSTRACT In this paper, we introduce the concept of a nonnegative rank of a positive operator T:X→Y$T: X\rightarrow Y$ between ordered vector spaces. In the case of nonnegative matrices, our definition agrees with the standard definition of a nonnegative rank.
Roman Drnovšek, Marko Kandić
wiley   +1 more source

A Boothby–Wang Construction in Generalized Contact Geometry

open access: yesMathematische Nachrichten, EarlyView.
ABSTRACT We establish a generalized analogue of the Boothby–Wang theorem in generalized contact geometry, along with related results. We present a general method for constructing examples of generalized contact structures that are not of Poon–Wade type, and even examples that fail to be generalized contact structures.
Debjit Pal
wiley   +1 more source

Nonconstant Positive Steady States for a Predator–Prey System With Signal‐Dependent Diffusion

open access: yesMathematische Nachrichten, EarlyView.
ABSTRACT This paper investigates a highly nonlinear predator–prey reaction–diffusion system featuring signal‐dependent prey diffusion, where the motility of the prey is modulated by a chemical signal released by predators. For unbounded functional responses, we establish the global‐in‐time existence and uniform‐in‐time boundedness of classical ...
Qigang Deng   +3 more
wiley   +1 more source

Graded Differential Polynomial Rings

open access: yesMathematische Nachrichten, EarlyView.
ABSTRACT We study differential polynomial rings R[t;δ]$R[t;\delta]$ over Γ$\Gamma$‐graded rings, where Γ$\Gamma$ is an arbitrary group. We show that R[t;δ]$R[t;\delta]$ admits a Γ$\Gamma$‐grading compatible with that of R$R$ if and only if δ$\delta$ is a γ$\gamma$‐derivation for some γ∈CΓ(ΓR)$\gamma \in C_\Gamma (\Gamma _R)$, and that this grading is ...
Yassine Ait Mohamed
wiley   +1 more source

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