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Final published version
We derive an algebraic version over an algebraically closed field k with characteristic not equal 2 of Yang's Small Dimension Lemma. With its help we describe the k-valued solutions of d'Alembert's functional equation on semigroups S in terms of multiplicative functions and irreducible, 2-dimensional representations of S.
Original language | English |
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Journal | Aequationes Mathematicae |
Volume | 95 |
Issue | 2 |
Pages (from-to) | 281-299 |
Number of pages | 19 |
ISSN | 0001-9054 |
DOIs | |
Publication status | Published - Apr 2021 |
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ID: 217509089