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Taylor morphisms
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DOI：10.1016/j.jalgebra.2026.04.028.png)
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Abstract
En 中文
We study generalised Taylor morphisms, functors which construct differential ring homomorphisms from ring homomorphisms in a uniform way, analogous to the Taylor expansion for smooth functions. We generalise the construction of the twisted Taylor morphism by Le & oacute;n S & aacute;nchez and Tressl to arbitrary differential rings by 'twisting' the ring of Hurwitz series, and prove that this results in a functor which is the right adjoint to a certain forgetful functor. We therefore give a concrete characterisation of all generalised Taylor morphisms over all differential rings with finitely many commuting derivations. (c) 2026 Published by Elsevier Inc.
Keywords:
Differential rings
Taylor morphisms
Hurwitz series
Differentially large fields
Journal
J
IF:
0.8
Papers:
277
Citations:
0
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Cited Papers
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