Defining powers in algebraic structures

We briefly review the historical development of the concept of power and then study the most elementary algebraic structures in which positive integer, zero, non-negative and rational powers can be defined. We also discuss three examples illustrating powers in contexts other than those typically encountered in school mathematics.

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Publication Details

Journal
The Mathematical Gazette
Published
2026-11-05
DOI
https://doi.org/10.1080/00255572.2026.2739212
Primary Topic
History and Theory of Mathematics
Type
article
Field-Weighted Citation Impact
0.00
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article

Defining powers in algebraic structures

Pentti Haukkanen, Timo Tossavainen
The Mathematical Gazette
History and Theory of Mathematics
article

Defining powers in algebraic structures

Pentti Haukkanen, Timo Tossavainen
article en

Abstract

We briefly review the historical development of the concept of power and then study the most elementary algebraic structures in which positive integer, zero, non-negative and rational powers can be defined. We also discuss three examples illustrating powers in contexts other than those typically encountered in school mathematics.

The Mathematical Gazette
Tampere University (FI), Luleå University of Technology (SE)
Openalex Percentile: Top 5%
History and Theory of Mathematics
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Defining powers in algebraic structures — Pentti Haukkanen, Timo Tossavainen · The Mathematical Gazette (2026) | TGRS Research Map | TGRS