Generalized Marshall quotients on continuous and C^k function rings give new real semigroups whose units are real reduced hyperfields, plus generalized Łojasiewicz inequalities.
Constructions in the category of real semigroups.Contemporary Mathematics, 69:107–134, 2017
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Generalized Marshall Quotients and Real Semigroups of Continuous and Differentiable Functions
Generalized Marshall quotients on continuous and C^k function rings give new real semigroups whose units are real reduced hyperfields, plus generalized Łojasiewicz inequalities.