Results 51 to 60 of about 1,658 (196)
A Study on Commutative Elliptic Octonion Matrices
In this study, firstly notions of similarity and consimilarity are given for commutative elliptic octonion matrices. Then the Kalman-Yakubovich s-conjugate equation is solved for the first conjugate of commutative elliptic octonions. Also, the notions of
Sürekçi Arzu Cihan +1 more
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On $A$-Convex Norms on Commutative Algebras
Let \(A\) be a commutative complex algebra, \(\|\;\|\) a norm on \(A\) (which is not assumed to be an algebra norm) and \(\|a\|_{op}\) the operator semi-norm of \(a\), that is, \[ \|a\|_{op}=\sup _{\|b\|\leqslant 1}\|ab\|\;\;\text{for\;each}\;a\in A. \] Moreover, let \[ m(\|\;\|)=\sup _{\|b\|\leqslant 1}\|b\|_{op}\;\;\text{and}\;\;r(\|\;\|)=\sup _{\|b\|
Arhippainen Jorma Eemil +1 more
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An Innovative Approach to Multi‐Valued Logic
The current generation of computer systems operates on the principles of binary logic, which encompasses both logical and arithmetic operations. However, silicon technology has reached its peak performance, prompting researchers to explore alternative methods for enhancing computational efficiency. One such method is the adoption of Multi‐Valued Logic (
Ali Mokhtari, Peyman Kabiri
wiley +1 more source
Zero Triple Product Determined Matrix Algebras
Let A be an algebra over a commutative unital ring C. We say that A is zero triple product determined if for every C-module X and every trilinear map {⋅,⋅,⋅}, the following holds: if {x,y,z}=0 whenever xyz=0, then there exists a C-linear operator T:A3⟶X ...
Hongmei Yao, Baodong Zheng
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Covariant non-commutative space–time
We introduce a covariant non-commutative deformation of 3+1-dimensional conformal field theory. The deformation introduces a short-distance scale ℓp, and thus breaks scale invariance, but preserves all space–time isometries.
Jonathan J. Heckman, Herman Verlinde
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Commutator Leavitt Path Algebras [PDF]
For any field K and directed graph E, we completely describe the elements of the Leavitt path algebra L_K(E) which lie in the commutator subspace [L_K(E),L_K(E)]. We then use this result to classify all Leavitt path algebras L_K(E) that satisfy L_K(E)=[L_K(E),L_K(E)].
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ABSTRACT The alternate arm converter (AAC) is one of the most efficient multilevel topologies based on voltage source converters (VSCs), which has recently gained attention in various applications, particularly in high voltage direct current (HVDC) systems.
Ehsan Akbari, Milad Samady Shadlu
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Commutative pseudo-equality algebras [PDF]
Pseudo equality algebras were initially introduced by Jenei and $\rm K\acute{o}r\acute{o}di$ as a possible algebraic semantic for fuzzy type theory, and they have been revised by Dvurečenskij and Zahiri under the name of JK-algebras. In this paper we define and study the commutative pseudo equality algebras.
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On Spatial Point Processes With Composition‐Valued Marks
Summary Methods for marked spatial point processes with scalar marks have seen extensive development in recent years. While the impressive progress in data collection and storage capacities has yielded an immense increase in spatial point process data with highly challenging non‐scalar marks, methods for their analysis are not equally well developed ...
Matthias Eckardt +2 more
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W1+∞ and W˜ algebras, and Ward identities
It was demonstrated recently that the W1+∞ algebra contains commutative subalgebras associated with all integer slope rays (including the vertical one).
Ya. Drachov, A. Mironov, A. Popolitov
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