A Note on z-Ideals and z°-Ideals of the Formal Power Series Rings and Polynomial Rings in an Infinite Set of Indeterminates
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DOI: 10.1142/s1005386720000413
Abstract: Let A be a ring. In this paper we generalize some results introduced by Aliabad and Mohamadian. We give a relation between the z-ideals of A and those of the formal power series rings in… read more here.
Keywords: infinite set; formal power; set indeterminates; power series ... See more keywords
Recommendations in pre-registrations and internal review board proposals promote formal power analyses but do not increase sample size
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DOI: 10.1371/journal.pone.0236079
Abstract: In this preregistered study, we investigated whether the statistical power of a study is higher when researchers are asked to make a formal power analysis before collecting data. We compared the sample size descriptions from… read more here.
Keywords: power analyses; formal power; pre registrations; power ... See more keywords
Some remarks on formal power series and formal Laurent series
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DOI: 10.1515/ms-2016-0297
Abstract: Abstract In this article we consider the topology on the set of formal Laurent series induced by the ultrametric defined via the order. In particular, we establish that the product of formal Laurent series, considered… read more here.
Keywords: formal power; laurent series; power series; series ... See more keywords