Institutul de Matematică şi Informatică "Vladimir Andrunachievici"
Universitatea de Stat din MoldovaRO EN
On T-nilpotence of a matrix set
Authors: Yu. P. Maturin
Keywords: T-nilpotent, matrix, ring
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Keywords: T-nilpotent, matrix, ring
Abstract
Let $R$ be a ring and $I$ be an arbitrary right $T$-nilpotent subset of $R$. In the paper it is proved that in this case the set of all $n\times n$-matrices with entries in $I$ is a right $T$-nilpotent subset of the ring of $n\times n$-matrices with entries in $R$, where $n\in {\mathbb N}$. It is also showed that it is impossible to generalize this result for rings of matrices of infinite dimension.Department of Mathematics and Economics, Faculty of
Physics, Mathematics, Economics and Innovation
Technologies, Drohobych Ivan Franko State Pedagogical
University, Stryiska Str., 3, Drohobych, 82100, Lviv
Region, Ukraine
E-mail:
Physics, Mathematics, Economics and Innovation
Technologies, Drohobych Ivan Franko State Pedagogical
University, Stryiska Str., 3, Drohobych, 82100, Lviv
Region, Ukraine
E-mail:
DOI
https://doi.org/10.56415/basm.y2023.i2.p36Fulltext
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Contents
- The Second Hankel Determinant for k-symmetrical Functions
- Relative Separation Axioms via Semi-Open Sets
- Growth Properties of Solutions to Higher Order Complex Linear Differential Equations with Analytic Coefficients in the Annulus
- On T-nilpotence of a matrix set
- On the Existence of Stationary Nash Equilibria for Mean Payoff Games on Graphs
- Global Asymptotic Stability of Generalized Homogeneous Dynamical Systems
- The linear Fredholm integral equations with functionals and parameters
- B-spline collocation method for solving Fredholm integral equations with discontinuous right-hand side
- On recursive 1-differentiability of the quasigroup prolongations
- Zero-Order Markov Processes with Multiple Final Sequences of States
