Results 41 to 50 of about 91,509 (288)
Local rings of bounded module type are almost maximal valuation rings
It is shown that every commutative local ring of bounded module type is an almost maximal valuation ...
Couchot, Francois
core +3 more sources
Subicular Astrocytes Govern Seizure‐Impaired Fear Memory
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 +15 more
wiley +1 more source
Some Results On Lie Ideals With (σ,τ)-derivationIn Prime Rings
In this paper, we proved that if R is a prime ring, U be a nonzero Lie ideal of R , d be a nonzero (?,?)-derivation of R. Then if Ua?Z(R) (or aU?Z(R)) for a?R, then either or U is commutative Also, we assumed that Uis a ring to prove that: (i) If Ua?Z(R)
Baghdad Science Journal
doaj +1 more source
Centrally Prime Rings which are Commutative [PDF]
In this paper the definition of centrally prime rings is introduced , our main purpose is to classify those centrally prime rings which are commutative and so that several conditions are given each of which makes a centrally prime ring commutative.
Adil K.Jabbar
doaj +1 more source
By studying and using the quasi-pure part concept, we improve some statements and show that some assumptions in some articlesare superfluous. We give some characterizations of Gelfand rings. For example: we prove that R is Gelfand if and only if m(∑ α∈A Iα) =∑α∈A m(Iα), for each family {Iα}α∈A of ideals of R, in addition if R is semiprimitive and Max(R)
Badie, Mehdi +2 more
openaire +3 more sources
A Perspective on Interactive Theorem Provers in Physics
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
Semidegenerate Congruence-modular Algebras Admitting a Reticulation
The reticulation L(R) of a commutative ring R was introduced by Joyal in 1975, then the theory was developed by Simmons in a remarkable paper published in 1980. L(R) is a bounded distributive algebra whose main property is that the Zariski prime
George Georgescu
doaj +1 more source
Experimental Joint Estimation of Phase and Phase Diffusion Via Deterministic Bell Measurements
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 +4 more
wiley +1 more source
Continuous functions with compact support
The main aim of this paper is to investigate a subring of the ring of continuous functions on a topological space X with values in a linearly ordered field F equipped with its order topology, namely the ring of continuous functions with compact support ...
Sudip Kumar Acharyya +2 more
doaj +1 more source
This article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Yiming Ren, Guo‐Wei Wei
wiley +1 more source

