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math.AC2024
Purely Inseparable ring extensions
Celia del Buey de Andrés, Diego Sulca
We revisit the concept of special algebras, also known as \textit{purely inseparable ring extensions}. This concept extends the notion of purely inseparable field extensions to the…
math.AC2024
Differentiably simple rings and ring extensions defined by -basis
Celia del Buey de Andrés, Diego Sulca, Orlando E. Villamayor
We review the concept of differentiably simple ring and we give a new proof of Harper's Theorem on the characterization of Noetherian differentiably simple rings in positive charac…