Results 81 to 90 of about 1,616,014 (220)
Musical Chemistry and Spectroscopy: Analogies Bridging Two Worlds in Multiple Dimensions
Music and spectroscopy speak the same language: that of fluctuations, line shapes, and ensembles. Herein, we establish useful analogies between music, chemistry, and spectroscopy, extending even to multidimensional and time‐resolved spectroscopies, with a mathematically‐grounded derivation and motivation.
Ricardo J. Fernández‐Terán
wiley +1 more source
A Linear Generalization of the Nearly Gorenstein Property, With Applications to Veronese Subalgebras
ABSTRACT We study the nearly Gorenstein property for Veronese subalgebras of (semi‐)standard graded algebras. We introduce a condition (♮)$(\natural)$ for Cohen–Macaulay semi‐standard graded rings, motivated by the study of Ehrhart rings. We show that if a semi‐standard graded algebra R$ R$ satisfies (♮)$(\natural)$, then its Veronese subalgebras R(k)$
Sora Miyashita
wiley +1 more source
Aggregation and the Structure of Value
ABSTRACT Roughly, the view I call “Additivism” sums up value across time and people. Given some standard assumptions, I show that Additivism follows from two principles. The first says that how lives align in time cannot, in itself, matter. The second says, roughly, that a world cannot be better unless it is better within some period or another.
Weng Kin San
wiley +1 more source
The theory of loops (groups without associativity), though researched by several mathematicians has not found a sound expression, for books, be it research level or otherwise, solely dealing with the properties of loops are absent.
VASANTHA, KANDASAMY
core +1 more source
Completely simple endomorphism rings of modules
It is proved that if Ap is a countable elementary abelian p-group, then: (i) The ring End (Ap) does not admit a nondiscrete locally compact ring topology.
Victor Bovdi +2 more
doaj +1 more source
Actions of finite groups on commutative rings I
Let $R$ be a commutative ring with 1, and let $G$ be a finite group of automorphisms of $R$. Denote by $R^G$ the fixed subring of $G$, and let $I$ be a subset of $R^G$. In this paper we prove that if the ideal generated by $I$ in $R$ satisfies a certain property with regard to projectivity, flatness, multiplication or related concepts, then the ideal ...
Naoum, A. G., Al-Aubaidy, W. K.
openaire +2 more sources
On Exponentially Long Prethermalization Timescales in Isolated Quantum Systems
ABSTRACT We study prethermalization in time‐independent quantum many‐body systems on a d$d$‐dimensional lattice with an extensive local Hamiltonian H=N+εP$H=N+\varepsilon P$, in the regime where ε≪1$\varepsilon \ll 1$. We prove that the prethermal timescale is exponential in ε0/ε$\varepsilon _0/\varepsilon$, where ε0$\varepsilon _0$ is an explicit ...
Matteo Gallone
wiley +1 more source
S-Noetherian rings, modules and their generalizations [PDF]
Let R be a commutative ring with identity, M an R-module and S ⊆ R a multiplicative set. Then M is called S-finite if there exist an s ∈ S and a finitely generated submodule N of M such that sM ⊆ N.
Tushar Singh +2 more
doaj
On the chain of commuting operators on Banach spaces
Abstract An operator T$T$ on a Banach space is said to be of chain N$N$ if there exist non‐scalar operators S1,⋯,SN−1$S_1,\dots,S_{N-1}$ and a non‐zero compact operator K$K$ such that T↔S1↔S2↔⋯↔SN−1↔K,$$\begin{equation*} T \leftrightarrow S_1 \leftrightarrow S_2 \leftrightarrow \dots \leftrightarrow S_{N-1} \leftrightarrow K, \end{equation*}$$where A↔B$
Tomasz Szczepanski
wiley +1 more source
Characterizations of rings and modules by means of lattices [PDF]
PhDIn this thesis we study the relationship between the lattice of submodules and the algebraic structure of a module. The key remark in our study will be the fact that the homomorphisms between two independent submadules of a module can be ...
Stephenson, W.
core +4 more sources

