# Characters in Analysis and Algebra

Desvl at
Let $$M$$ be a monoid and $$K$$ be a field, then by a character of $$G$$ in $$K$$ we mean a monoid-homomorphism$\chi:M \to K^\ast.$ By trivial character we mean a character such that $$\chi(M)=\{1\}$$. We are particularly interested in the linear independence of characters. Functions \(f_i:M \to K……