Abstract
In this paper we wish to briefly review some known results concerning the ideal structure of the formal power series ring R[[X]]. As the title indicates, primary consideration will be given to prime ideals in R[[X]]. We begin by discussing some of the basic difficulties which arise in relating the ideal structure of R[[X]] with that of R. We then consider the Krull dimension of R[[X]] and, finally, we review some results on valuation overrings of D[[X]], where D is an integral domain.
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© 1973 Springer-Verlag
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Arnold, J.T. (1973). Prime ideals in power series rings. In: Brewer, J.W., Rutter, E.A. (eds) Conference on Commutative Algebra. Lecture Notes in Mathematics, vol 311. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0068915
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DOI: https://doi.org/10.1007/BFb0068915
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-06140-3
Online ISBN: 978-3-540-38340-6
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