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Rings, Matrices over Which Are Representable As the Sum of Two Potent Matrices
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Journal Article
Rings, Matrices over Which Are Representable As the Sum of Two Potent Matrices
2023
Overview
This paper investigates conditions under which representability of each element
from the field
as the sum
, where
,
, and
are fixed natural numbers >1, implies a similar representability of each square matrix over the field
. We propose a general approach to solving this problem. As an application we describe fields and commutative rings where 2 is a unit, over which each square matrix is the sum of two 4-potent matrices.
Publisher
Pleiades Publishing,Springer Nature B.V
