Generalized Marshall quotients on continuous and C^k function rings give new real semigroups whose units are real reduced hyperfields, plus generalized Łojasiewicz inequalities.
Quadratic structures associated to (multi) rings.Categories and General Algebraic Structures, 16(1):105–141, 2022
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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.