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Tag Archives: formal power series
Commutative Algebra 54
Filtered Rings Definition. Let A be a ring. A filtration on A is a sequence of additive subgroups such that for any . A filtered ring is a ring with a designated filtration. Note Since , in fact each is … Continue reading
Posted in Advanced Algebra
Tagged completions, filtrations, formal power series, limits, metric spaces, p-adic, ultrametric
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Power Series and Generating Functions (II): Formal Power Series
For today’s post, we shall first talk about the Catalan numbers. The question we seek to answer is the following. Let n be a positive integer. Given a non-associative operation *, find the number of ways to bracket the expression … Continue reading
Posted in Notes
Tagged catalan numbers, combinatorics, formal power series, intermediate, power series
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Mathematics and Such 