A note on the coefficient rings of polynomial rings |
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| Authors: | J H Pathak |
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| Institution: | 1. Department of Mathematics, University of Bombay, Vidyanagari, 400 098, Bombay
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| Abstract: | LetA andB be two reduced commutative rings with finitely many minimal prime ideals. If the polynomial algebrasAX
1
…X
n
]=BY
1
…Y
n
] whereX
i
,Y
iF are variables overA andB respectively, then there exists an injective ring homomorphism ϕ:A→B such thatB is finitely generated over ϕ(A). |
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| Keywords: | Polynomial ring integral extension minimal primes |
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