A property of ideals in polynomial rings

Gennady Lyubeznik

doi:10.1090/S0002-9939-1986-0857929-2

A property of ideals in polynomial rings

Gennady Lyubeznik

Mathematics

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

Every ideal in the polynomial ring in n variables over an infinite field has a reduction generated by n elements.

Original language	English (US)
Pages (from-to)	399-400
Number of pages	2
Journal	Proceedings of the American Mathematical Society
Volume	98
Issue number	3
DOIs	https://doi.org/10.1090/S0002-9939-1986-0857929-2
State	Published - Nov 1986

Keywords

Direct product
Hyperatom
Jordan ring
Nonzero nilpotent element
Orthogonally complete
Partial order

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title = "A property of ideals in polynomial rings",

abstract = "Every ideal in the polynomial ring in n variables over an infinite field has a reduction generated by n elements.",

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KW - Nonzero nilpotent element

KW - Orthogonally complete

KW - Partial order

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A property of ideals in polynomial rings

Abstract

Keywords

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