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A note on the coefficient rings of polynomial rings
- Source :
- Proceedings Mathematical Sciences; September 1987, Vol. 99 Issue: 3 p217-220, 4p
- Publication Year :
- 1987
-
Abstract
- Abstract: LetA andB be two reduced commutative rings with finitely many minimal prime ideals. If the polynomial algebrasA[X <subscript>1</subscript> …X <subscript> n </subscript>]=B[Y <subscript>1</subscript> …Y <subscript> n </subscript>] whereX <subscript> i </subscript>,Y <subscript> iF</subscript> are variables overA andB respectively, then there exists an injective ring homomorphism ϕ:A→B such thatB is finitely generated over ϕ(A).
Details
- Language :
- English
- ISSN :
- 02534142 and 09737685
- Volume :
- 99
- Issue :
- 3
- Database :
- Supplemental Index
- Journal :
- Proceedings Mathematical Sciences
- Publication Type :
- Periodical
- Accession number :
- ejs14884051
- Full Text :
- https://doi.org/10.1007/BF02864393