Results 101 to 110 of about 704,075 (198)

Entanglement, Space–Time Coordinates, and Bell's Inequalities in Photon–Polarization Experiments

Annalen der Physik, Volume 538, Issue 9, September 2026.
This work presents a revised analysis of Bell‐type inequalities. It is argued that standard derivations of Bell‐type inequalities implicitly rely on additional assumptions beyond those originally stated, specifically concerning the cardinalities of the sets of measurements and photon‐pair properties.
Karl Hess, Jürgen Jakumeit
wiley   +1 more source

NEUTROSOPHIC RINGS [PDF]

, 2006
In this book we define the new notion of neutrosophic rings. The motivation for this study is two-fold. Firstly, the classes of neutrosophic rings defined in this book are generalization of the two well-known classes of rings: group rings and semigroup ...
Vasantha, Kandasamy, Kandasamy, W.B. Vasantha, Smarandache, Florentin   +2 more
core   +1 more source

Commutative monoid rings as Hilbert rings [PDF]

Proceedings of the American Mathematical Society, 1985
Assume that R is a commutative unitary ring and that S is a cancellative monoid with quotient group G. Let \(\alpha\) be the torsion-free rank of G and let \(X=\{X_ i\}\) be a set of \(\alpha\) indeterminates over R. We prove that the monoid ring R[S], the group ring R[G], and the polynomial ring R[X] are simultaneously Hilbert rings. In particular, if
openaire   +2 more sources

Musical Chemistry and Spectroscopy: Analogies Bridging Two Worlds in Multiple Dimensions

Helvetica Chimica Acta, Volume 109, Issue 9, September 2026.
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

The non-commutative full rhotrix ring and its subrings [PDF]

, 2018
This paper presents the triple (Rn(F),+,o) consisting of the set of all rhotrices of size n with entries in an arbitrary ring F; and together with the operations of rhotrix addition ‘+’ and row-column based method for rhotrix multiplication; 'o' , so as ...
Mohammed, A
core   +1 more source

A Linear Generalization of the Nearly Gorenstein Property, With Applications to Veronese Subalgebras

Mathematische Nachrichten, Volume 299, Issue 9, Page 2436-2451, September 2026.
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

Noûs, Volume 60, Issue 3, Page 619-644, September 2026.
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

A note on co-maximal graphs of commutative rings

AKCE International Journal of Graphs and Combinatorics, 2018
Let R be a commutative ring with unity. The co-maximal graph Γ ( R ) is the graph with vertex set R and two vertices a and b are adjacent if R a + R b = R .
Deepa Sinha, Anita Kumari Rao
doaj   +1 more source

On the chain of commuting operators on Banach spaces

Bulletin of the London Mathematical Society, Volume 58, Issue 9, September 2026.
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

Harary index of the zero divisor graph of upper triangular matrices

Scientific Reports
The Harary Index is an important topological parameter for examining the structure of a graph. This work presents a quantitative analysis of the structural features of zero-divisor graph using the Harary Index.
Omaima Alshanqiti, Sahil Sharma, Vijay Kumar Bhat   +2 more
doaj   +1 more source