Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Coherence of one polynomial ring


Author: Wolmer V. Vasconcelos
Journal: Proc. Amer. Math. Soc. 41 (1973), 449-456
MSC: Primary 13F20
MathSciNet review: 0325608
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Abstract: The main result is that $ A[x]$, the polynomial ring in one variable over the domain $ A$ of global dimension two, is coherent. As an application, the quotient rings of $ A[x]$ which have finite global dimension are examined.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1973-0325608-7
Keywords: Projective dimension, global dimension, coherent ring, G.C.D. domain
Article copyright: © Copyright 1973 American Mathematical Society