TL;DR
This paper investigates rational twisted power series over a field, providing characterizations and a version of Kronecker's lemma, extending classical results to the twisted setting.
Contribution
It introduces new characterizations of rational twisted power series and proves a Kronecker's lemma analogue for these series.
Findings
Characterizations of rational twisted power series
A version of Kronecker's lemma for twisted series
Extension of classical rational series results
Abstract
Rational twisted power series over a (commutative) field are studied. We give several characterizations of such series, which are similar to the classical results concerning rational power series over a commutative field. In particular, we prove a version of Kronecker's lemma for the rationality of twisted power series.
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Taxonomy
TopicsRings, Modules, and Algebras · Polynomial and algebraic computation · semigroups and automata theory