Results 11 to 20 of about 479 (130)

A GENERAL THEORY OF ZERO-DIVISOR GRAPHS OVER A COMMUTATIVE RING

International Electronic Journal of Algebra, 2016
Let R be a commutative ring with 1 6= 0, I a proper ideal of R, and ∼ a multiplicative congruence relation on R. Let R/∼ = { [x]∼ | x ∈ R } be the commutative monoid of ∼-congruence classes under the induced multiplication [x]∼[y]∼ = [xy]∼, and let Z(R/∼) be the set of zero-divisors of R/∼. The ∼-zero-divisor graph of R is the (simple) graph Γ∼(R) with
David F. Anderson, Elizabeth Fowler Lewis   +1 more
openalex   +4 more sources

Rayleigh-Schrödinger perturbation theory generalized to eigen-operators in non-commutative rings [PDF]

Journal of Mathematical Chemistry, 2010
A perturbation scheme to find approximate solutions of a generalized spectral problem is presented. The spectral problem is generalized in the sense that the ``eigenvalues'' searched for, are not real numbers but operators in a non-commutative ring, and the associated ``eigenfunctions'' do not belong to an Hilbert space but are elements of a module on ...
openaire   +1 more source

Subicular Astrocytes Govern Seizure‐Impaired Fear Memory

Advanced Science, EarlyView.
Astrocytes in dorsal subiculum act as a critical modulator of seizure‐associated cognitive dysfunction, operating through a Ca2+‐dependent adenosine‐linked astrocyte‐neuron signaling pathway that disrupts neuronal circuit homeostasis. This research highlights the potential of astrocyte‐targeted interventions as a therapeutic strategy, moving beyond the
Yuying Shao, Jing Xi, Yuhao Sun, Yulan Li, Zhisheng Li, Wangjialu Lu, Jialu Chen, Lin Yang, Fan Fei, Heming Cheng, Li Cheng, Cenglin Xu, Zhuo Huang, Vladimir Parpura, Yi Wang, Zhong Chen   +15 more
wiley   +1 more source

Generalizations of Multiplicative Ideal Theory to Commutative Rings with Zerodivisors

Bulletin of the Faculty of Science, Ibaraki University. Series A, Mathematics, 1985
Multiplicative ideal theories are studied for a commutative integral domain. We concern generalizations of these theories to a commutative ring with zero divisors. This paper is a synthetic report of the author's study on the area. The paper contains the solutions of open questions/conjectures of Griffin, Hinkle-Huckaba, Huckaba-Papick, Hutchins ...
openaire   +3 more sources

A Perspective on Interactive Theorem Provers in Physics

Advanced Science, EarlyView.
Into an interactive theorem provers (ITPs), one can write mathematical definitions, theorems and proofs, and the correctness of those results is automatically checked. This perspective goes over the best usage of ITPs within physics and motivates the open‐source community run project PhysLean, the aim of which is to be a library for digitalized physics
Joseph Tooby‐Smith
wiley   +1 more source

Experimental Joint Estimation of Phase and Phase Diffusion Via Deterministic Bell Measurements

Advanced Science, EarlyView.
This work employs Bell measurement, a form of entangling measurement, to estimate both the phase and its fluctuations in an optical interferometer. By incorporating a novel quantum effect at the measurement stage, the proposed method achieves the ultimate precision limit and demonstrates the significant potential of entangling measurements in multi ...
Ben Wang, Minghao Mi, Huangqiuchen Wang, Qian Xie, Lijian Zhang   +4 more
wiley   +1 more source

Efficient Dynamics: Reduced‐Order Modeling of the Time‐Dependent Schrödinger Equation

Advanced Physics Research, EarlyView.
Reduced‐order modeling (ROM) approaches for the time‐dependent Schrödinger equation are investigated, highlighting their ability to simulate quantum dynamics efficiently. Proper Orthogonal Decomposition, Dynamic Mode Decomposition, and Reduced Basis Methods are compared across canonical systems and extended to higher dimensions.
Kolade M. Owolabi
wiley   +1 more source

An Alternative Approach to Spontaneous Photon Triplets Generation

Advanced Physics Research, EarlyView.
Day by day, communication and computing technologies are progressing at a lightning speed, which is particularly true of the quantum version of these technologies (QIST). Increasingly, these technologies are emerging from unusual and sometimes bewildering quantum optical effects, which are based on exotic quantum physical theories.
Serge Gauvin
wiley   +1 more source

Fully Quantum Perturbative Description of Correlated Stokes–Anti‐Stokes Scattering

physica status solidi (b), EarlyView.
The generation of Stokes‐anti‐Stokes (SaS) photon pairs with quantum correlations, like entanglement, has been developing recently, but a proper theoretical ground was missing. A fully quantum perturbative theory is provided to describe the four‐wave mixing contribution to the correlated SaS scattering, in which both matter and electromagnetic field ...
Raul Corrêa, Marcelo F. Santos, Carlos H. Monken, Ado Jorio   +3 more
wiley   +1 more source

Simulating Quantum State Transfer Between Distributed Devices Using Noisy Interconnects

Advanced Quantum Technologies, EarlyView.
Noisy connections challenge future networked quantum computers. This work presents a practical method to address this by simulating an ideal state transfer over noisy interconnects. The approach reduces the high sampling cost of previous methods, an advantage that improves as interconnect quality gets better.
Marvin Bechtold, Johanna Barzen, Frank Leymann, Alexander Mandl   +3 more
wiley   +1 more source