Abstract

The authors wish to make the following corrections to this paper [1] (see corrected version in postprint [2]):On page 2, paragraph 4, complete the first sentence ‘In Theorem 2 we show that if A is a real algebra and B is a basis of A then B also is a basis of Aℂ, the complexification of A (with the same multiplication structure matrices) and that A is an evolution algebra if, and only if, Aℂ is an evolution algebra’ with the phrase ‘and has a natural basis consisting of elements of A’ [...]

Highlights

  • A is an evolution algebra if, and only if, AC is an evolution algebra and has a natural basis consisting of elements of A

  • If A is a real evolution algebra, every natural basis of A is a natural basis of AC

  • If A is an evolution algebra and if B is a natural basis of A, obviously B is a natural basis of AC

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Summary

Introduction

A is an evolution algebra if, and only if, AC is an evolution algebra and has a natural basis consisting of elements of A. If A is a real evolution algebra, every natural basis of A is a natural basis of AC. Received: 10 February 2021 Accepted: 15 March 2021 Published: 4 June 2021

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