Studies with generalized matrix algebra

1967 ◽  
Vol 85 (1) ◽  
pp. 193-210 ◽  
Author(s):  
A. Bjerhammar
Keyword(s):  
Matrix Algebra ◽  
Generalized Matrix ◽  
Generalized Matrix Algebra

scholarly journals σ-derivations on generalized matrix algebras

2020 ◽  
Vol 28 (2) ◽  
pp. 115-135
Author(s):  
Aisha Jabeen ◽  
Mohammad Ashraf ◽  
Musheer Ahmad
Keyword(s):  
Commutative Ring ◽  
Matrix Algebra ◽  
Morita Context ◽  
Matrix Algebras ◽  
Generalized Matrix ◽  
Generalized Matrix Algebra

AbstractLet 𝒭 be a commutative ring with unity, 𝒜, 𝒝 be 𝒭-algebras, 𝒨 be (𝒜, 𝒝)-bimodule and 𝒩 be (𝒝, 𝒜)-bimodule. The 𝒭-algebra 𝒢 = 𝒢(𝒜, 𝒨, 𝒩, 𝒝) is a generalized matrix algebra defined by the Morita context (𝒜, 𝒝, 𝒨, 𝒩, ξ𝒨𝒩, Ω𝒩𝒨). In this article, we study Jordan σ-derivations on generalized matrix algebras.

scholarly journals The First Hochschild Cohomology of Square Algebras With it's Stability

2017 ◽  
Vol 9 (4) ◽  
pp. 200
Author(s):  
Feysal Hassani ◽  
Negin Salehi Oroozaki
Keyword(s):  
Significant Role ◽  
Matrix Algebra ◽  
Hochschild Cohomology ◽  
Generalized Matrix ◽  
Generalized Matrix Algebra ◽  
Special Case

In this paper, we study on a special case of generalized matrix algebra that we call it square algebra. According to that Hochschild cohomology play a significant role in Geometry for example in orbifolds, we study the first Hochschild cohomology of the square algebra the vanishing of its.

scholarly journals Nonlinear Jordan Derivable Mappings of Generalized Matrix Algebras by Lie Product Square-Zero Elements

2021 ◽  
Vol 2021 ◽  
pp. 1-13
Author(s):  
Xiuhai Fei ◽  
Haifang Zhang
Keyword(s):  
Matrix Algebra ◽  
Matrix Algebras ◽  
Generalized Matrix ◽  
Generalized Matrix Algebra

The aim of the paper is to give a description of nonlinear Jordan derivable mappings of a certain class of generalized matrix algebras by Lie product square-zero elements. We prove that under certain conditions, a nonlinear Jordan derivable mapping Δ of a generalized matrix algebra by Lie product square-zero elements is a sum of an additive derivation δ and an additive antiderivation f . Moreover, δ and f are uniquely determined.

scholarly journals More on Lie derivations of a generalized matrix algebra

2018 ◽  
Vol 19 (1) ◽  
pp. 385 ◽  
Author(s):  
A.H. Mokhtari ◽  
H.R. Ebrahimi Vishki
Keyword(s):  
Matrix Algebra ◽  
Generalized Matrix ◽  
Generalized Matrix Algebra ◽  
Lie Derivations

Theory of Adjustments by Least Squares

1965 ◽  
Vol 19 (1) ◽  
pp. 42-63
Author(s):  
L. A. Gale
Keyword(s):  
Least Squares ◽  
Linear Relationship ◽  
Matrix Algebra ◽  
Covariance Matrices ◽  
Transformation Matrix ◽  
Correlated Observations ◽  
Generalized Matrix ◽  
Independent Observations ◽  
Singular Transformation ◽  
Generalized Matrix Algebra

The concepts of least squares adjustments and the relationships between various types of adjustment are presented in terms of generalized matrix algebra. By developments based on the variance law for independent observations and the linear relationship between independent and correlated observations, variance-covariance matrices and the corresponding weight matrices are developed. The use of generalized matrix algebra permits the derivation of weight matrices from singular, variance-covariance matrices by inversion of the latter matrices. A singular transformation matrix for the elimination of superfluous parameters from observation equations prior to adjustment is presented.

A generalized matrix-fracture flow transfer model for fractured porous media

2021 ◽  
Author(s):  
Zhechao wang ◽  
Jiafan guo ◽  
Zhejun pan ◽  
Liping qiao ◽  
Jie liu ◽  
...  
Keyword(s):  
Porous Media ◽  
Fractured Porous Media ◽  
Transfer Model ◽  
Fracture Flow ◽  
Matrix Fracture ◽  
Generalized Matrix ◽  
Flow Transfer

Iterative criterion of the descriptor system asymptotic steadiness

2020 ◽  
Keyword(s):  
Iterative Algorithm ◽  
Search Algorithm ◽  
Descriptor System ◽  
Matrix Sign Function ◽  
Sign Function ◽  
Generalized Matrix ◽  
Criterion Matrix

An iterative criterion for the asymptotic steadiness of a linear descriptor system is considered. The criterion is based on an iterative algorithm for computing a generalized matrix sign-function. As an example, the problem of analyzing the asymptotic steadiness of a large descriptor system is given. Keywords linear descriptor system; steadiness criterion; matrix sign-function; search algorithm

scholarly journals Research on the Influence of Energy Utilization and Economic Development on Human Well-Being in Qinghai-Tibet Plateau

2020 ◽  
Vol 13 (1) ◽  
pp. 196
Author(s):  
Mengmeng Meng ◽  
Weiguo Fan ◽  
Jianchang Lu ◽  
Xiaobin Dong ◽  
Hejie Wei
Keyword(s):  
Economic Development ◽  
Well Being ◽  
Resource Acquisition ◽  
Energy Utilization ◽  
Western China ◽  
Tibet Plateau ◽  
Four Dimensions ◽  
Generalized Matrix ◽  
Qinghai Tibet Plateau ◽  
Means Of Production

Qinghai-Tibet Plateau is a typical resource-rich but economically backward region in western China, and it is of great urgency to improve human well-being. Combined with previous scholars’ research and the characteristics of Qinghai-Tibet Plateau, this paper constructs an index system of human well-being including four dimensions: income and consumption, means of production, means of subsistence, and resource acquisition ability. Then, it uses generalized matrix method estimations to measure the influence of energy utilization and economic development on human well-being and makes a regression analysis on the influence of energy utilization and economic development on human well-being in various provinces in this region. It is found that per capita GDP and coke utilization promote the well-being of all dimensions, while the urban registered unemployment rate only promotes the well-being of means of subsistence. The utilization of gasoline and natural gas promotes income and consumption and inhibits the means of subsistence and resource acquisition ability, but they have opposite effects on means of production. The impacts of energy utilization and economic development in different provinces on human well-being are different. This study is of great significance to the related research aiming at improving people’s livelihood and promoting regional development.

Sign in / Sign up

Export Citation Format

Share Document