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We derive an algebraic version over an algebraically closed field k with characteristic $$\ne 2$$ of Yang’s Small Dimension Lemma. With its help we describe the k-valued solutions of d’Alembert’s… Click to show full abstract
We derive an algebraic version over an algebraically closed field k with characteristic $$\ne 2$$ 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.
Keywords:
small dimension;
equation semigroups;
dimension lemma
Journal Title: Aequationes Mathematicae
Year Published: 2020
Link to full text (if available)
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Journal Title: Aequationes Mathematicae
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!