Results 71 to 80 of about 97,313 (257)
Combs, Fast and Slow: Non‐Adiabatic Mean‐Field Theory of Active Cavities
Laser &Photonics Reviews, EarlyView.A unified mean‐field theory is developed that describes active cavities with dynamics of any speed, whether they be fast, slow, or anything in between. By creating an operator‐based framework that makes no adiabatic approximation, this approach delivers more efficient simulations and new analytical insights for a wide range of integrated combs, such as
David Burghoff
wiley +1 more source
Z-Polynomials and Ring Commutativity [PDF]
Mathematical Proceedings of the Royal Irish Academy, 2012 We characterise polynomials f with integer coefficients such that a ring with unity R is necessarily commutative if f(x) is central for all x Ɛ R. We also solve the corresponding problem without the assumption that the ring has a unity.
Buckley, Stephen M., McHale, D.
openaire +3 more sources
General infinitesimal variations of the Hodge structure of ample curves in surfaces
Mathematische Nachrichten, EarlyView.Abstract Given a smooth projective complex curve inside a smooth projective surface, one can ask how its Hodge structure varies when the curve moves inside the surface. In this paper, we develop a general theory to study the infinitesimal version of this question in the case of ample curves.
Víctor González‐Alonso, Sara Torelli
wiley +1 more source
On some properties of the asymptotic Samuel function
Mathematische Nachrichten, EarlyView.Abstract The asymptotic Samuel function generalizes to arbitrary rings the usual order function of a regular local ring. Here, we explore some natural properties in the context of excellent, equidimensional rings containing a field. In addition, we establish some results regarding the Samuel slope of a local ring.
A. Bravo, S. Encinas, J. Guillán‐Rial
wiley +1 more source
The k-annihilating-ideal hypergraph of commutative ring
AKCE International Journal of Graphs and Combinatorics, 2019 The concept of the annihilating-ideal graph of a commutative ring was introduced by Behboodi et. al in 2011. In this paper, we extend this concept to the hypergraph for which we define an algebraic structure called k-annihilating-ideal of a commutative ...
K. Selvakumar, V. Ramanathan
doaj
, 2018 Magnitude homology was introduced by Hepworth and Willerton in the case of graphs, and was later extended by Leinster and Shulman to metric spaces and enriched categories.
Hepworth, Richard
core +1 more source
Characterization of the Spin and Crystal Field Hamiltonian of Erbium Dopants in Silicon
Advanced Quantum Technologies, EarlyView.Erbium in silicon is a promising platform for scalable quantum information processing, as it combines optically addressable spins in the telecom regime with the mature, wafer‐scale nanofabrication techniques available for silicon. In this work, the point symmetry and magnetic interaction of two particularly promising erbium sites are investigated.
Adrian Holzäpfel +5 more
wiley +1 more source
S-almost perfect commutative rings [PDF]
Journal of Algebra, 2019 Given a multiplicative subset $S$ in a commutative ring $R$, we consider $S$-weakly cotorsion and $S$-strongly flat $R$-modules, and show that all $R$-modules have $S$-strongly flat covers if and only if all flat $R$-modules are $S$-strongly flat. These equivalent conditions hold if and only if the localization $R_S$ is a perfect ring and, for every ...
Silvana Bazzoni, Leonid Positselski
openaire +4 more sources
Ring homomorphisms on real Banach algebras
International Journal of Mathematics and Mathematical Sciences, 2003 Let B be a strictly real commutative real Banach algebra with the carrier space ΦB. If A is a commutative real Banach algebra, then we give a representation of a ring homomorphism ρ:A→B, which needs not be linear nor continuous.
Takeshi Miura, Sin-Ei Takahasi
doaj +1 more source
Ideal Dasar Prima Dalam Aljabar Atas Suatu Ring Komutatif
Jurnal Fourier, 2018 Definisi ideal dasar dan ideal bebas dalam aljabar bebas atas ring komutatif dengan elemen satuan adalah ekuivalen. Namun, ideal dasar dalam suatu aljabar tak bebas belum tentu merupakan ideal bebas, sementara ideal bebas pasti ideal dasar.
Khurul Wardati
doaj +1 more source