Generalized derivations and additive theory
type: Item
instance of: scholarly article
title: Generalized derivations and additive theory
zbMATH Open document ID: 1026.11030
DOI: 10.1016/S0024-3795(01)00406-2
author: J. A. Dias Da Silva
author: Hemar Godinho
published in: Linear Algebra and its Applications
publication date: 2002-05-15T00:00:00Z
full work available at URL: abstract.html
review text: The authors obtain lower bounds for the degree of the minimal polynomial of some derivations. As an application, they deduce some generalizations of the Cauchy-Davenport theorem.
Mathematics Subject Classification ID: 11B75
Mathematics Subject Classification ID: 15A69
Mathematics Subject Classification ID: 11P32
zbMATH DE Number: 1741556
zbMATH Keywords: addition theorem
zbMATH Keywords: minimal polynomial
reviewed by: Yahya Ould Hamidoune
MaRDI profile type: Publication
cites work: Q5611784
cites work: Combinatorial matrix theory
cites work: Critical pairs of matrices for the degree of the minimal polynomial of the Kronecker sum
cites work: A Pollard type result for restricted sums
cites work: The invariant polynomials degrees of the Kronecker sum of two linear operators and additive theory
cites work: Cyclic Spaces for Grassmann Derivatives and Additive Theory
cites work: A note on the minimal polynomial of the Kronecker sum of two linear operators
cites work: Q3129746
cites work: Q3952291
cites work: Q5287502
cites work: Q4771383
cites work: Q3343999
cites work: An application of group theory to matrices and to ordinary differential equations
OpenAlex ID: W2048390780
description: scientific article; zbMATH DE number 1741556