Results 41 to 50 of about 355,626 (313)
New Automorphisms of Generic Matrix Algebras and Polynomial Algebras
The note under review deals with the problem of tameness for automorphisms of certain algebras. Recall that an automorphism of the polynomial algebra \(K[x_1,\ldots,x_n]\) over a field \(K\) is tame if it is a product of affine and triangular ones, and wild otherwise.
Drensky, Vesselin, Gupta, C.K.
openaire +1 more source
Finite W-algebras for glN [PDF]
We study the quantum finite W -algebras W (glN, f ), associ-ted to the Lie algebra glN, and its arbitrary nilpotent element f . We construct for such an algebra an r1× r1 matrix L(z) of Yangian type, where r1 is the number of maximal parts of the ...
De Sole, Alberto +2 more
core +1 more source
Dynamical Theory of Generalized Matrices [PDF]
We propose a generalization of spin algebra using multi-index objects, and a dynamical system analogous to matrix theory. The system has a solution described by generalized spin representation matrices and possesses a symmetry similar to the volume ...
Kawamura, Yoshiharu
core +4 more sources
Algebras of right ample semigroups
Strict RA semigroups are common generalizations of ample semigroups and inverse semigroups. The aim of this paper is to study algebras of strict RA semigroups.
Guo Junying, Guo Xiaojiang
doaj +1 more source
An efficient deep learning model for brain tumour detection with privacy preservation
Abstract Internet of medical things (IoMT) is becoming more prevalent in healthcare applications as a result of current AI advancements, helping to improve our quality of life and ensure a sustainable health system. IoMT systems with cutting‐edge scientific capabilities are capable of detecting, transmitting, learning and reasoning.
Mujeeb Ur Rehman +8 more
wiley +1 more source
The spectral norms of geometric circulant matrices with the generalized k-Horadam numbers
In this paper, we use the algebra methods, the properties of the r-circulant matrix and the geometric circulant matrix to study the upper and lower bound estimate problems for the spectral norms of a geometric circulant matrix involving the generalized k-
Baijuan Shi
doaj +1 more source
Recursive Matrix Calculation Paradigm by the Example of Structured Matrix
In this paper, we derive recursive algorithms for calculating the determinant and inverse of the generalized Vandermonde matrix. The main advantage of the recursive algorithms is the fact that the computational complexity of the presented algorithm is ...
Jerzy S. Respondek
doaj +1 more source
ON SELBERG-TYPE SQUARE MATRICES INTEGRALS [PDF]
In this paper we consider Selberg-type square matrices integrals with focus on Kummer-beta types I & II integrals. For generality of the results for real normed division algebras, the generalized matrix variate Kummer-beta types I & II are defined under ...
Mohammad Arashi
doaj +1 more source
Quasi exactly solvable matrix models in sl(n)
We reconsider the quasi exactly solvable matrix models constructed recently by R. Zhdanov. The 2$\times$2 matrix operators representing the algebra sl(2) are generalized to matrices of arbitrary dimension and a similar construction is achieved for the ...
Brihaye, Yves, Kosinski, Piotr
core +2 more sources
Lie (Jordan) σ−centralizer at the zero products on generalized matrix algebra
Given a unital commutative ring $ \mathscr{R} $, $ (\mathscr{A}, \mathscr{B}) $ and $ (\mathscr{B}, \mathscr{A}) $ are bimodules of $ \mathscr{M} $ and $ \mathscr{N} $, respectively, where $ \mathscr{A}, \mathscr{B} $ are unitals $ \mathscr{R}- $algebras.
Mohd Arif Raza, Huda Eid Almehmadi
doaj +1 more source

