Results 41 to 50 of about 355,626 (313)

New Automorphisms of Generic Matrix Algebras and Polynomial Algebras

open access: yesJournal of Algebra, 1997
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]

open access: yes, 2018
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]

open access: yes, 2005
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

open access: yesOpen Mathematics, 2018
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

open access: yesCAAI Transactions on Intelligence Technology, EarlyView., 2023
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

open access: yesJournal of Inequalities and Applications, 2018
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

open access: yesInformation, 2020
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]

open access: yesJournal of Algebraic Systems, 2013
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)

open access: yes, 1997
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

open access: yesAIMS Mathematics
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

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