It’s quoted from Rotman’s advanced modern algebra. How can an element be transcendental in an algebraic extension? Should separability of field extension be defined on any field extension and there typos in the quoted definition?
2026-04-06 02:43:15.1775443395
question on definition of separability of field extension
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based on the definition in wikipedia: https://en.wikipedia.org/wiki/Separable_extension, I think I can just ignore the transcendantal part now.