The small dimension lemma and d’Alembert’s equation on semigroups
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DOI: 10.1007/s00010-020-00746-x
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… read more here.
Keywords: small dimension; equation semigroups; dimension lemma;