A note on complete intersections

Bhatwadekar, S. M.

doi:10.1090/S0002-9947-1982-0642336-9

A note on complete intersections
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by S. M. Bhatwadekar

Trans. Amer. Math. Soc. 270 (1982), 175-181

DOI: https://doi.org/10.1090/S0002-9947-1982-0642336-9

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Abstract:

Let $R$ be a regular local ring and let $R[T]$ be a polynomial algebra in one variable over $R$. In this paper the author proves that every maximal ideal of $R[T]$ is complete intersection in each of the following cases: (1) $R$ is a local ring of an affine algebra over an infinite perfect field, (2) $R$ is a power series ring over a field.

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