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Maximal ideals in composition-rings of formal power series. (English) Zbl 0716.13014
General algebra, Dedicated Mem. of Wilfried Nöbauer, Contrib. Gen. Algebra 6, 131-140 (1988).
[For the entire collection see Zbl 0694.00002.]
The authors’ aim is to study subrings $$S$$ of the ring of formal power series $$R[[X]]$$ in one variable $$X$$ over a commutative ring $$R$$ with identity, which are closed under composition. The maximal ideals in the class of composition ideals and their intersection are considered for various types of composition rings. Theorem 3 gives a characterization of maximal composition ideals of a composition subring $$S$$. (In the statement of this theorem $$S$$ is a composition subring and not a composition ideal.)
##### MSC:
 13F25 Formal power series rings