نتایج جستجو برای: formal power series rings

تعداد نتایج: 973182  

Journal: :international journal of group theory 0
benjamin fine fairfield university martin kreuzer university of passau gerhard rosenberger university of hamburg

the freiheitssatz of magnus for one-relator groups is one of the cornerstones of combinatorial group theory. in this short note which is mostly expository we discuss the relationship between the freiheitssatz and corre-sponding results in free power series rings over fields. these are related to results of schneerson not readily available in english. this relationship uses a faithful representa...

Journal: :algebraic structures and their applications 2014
habib sharif

let $k$ be a field of characteristic$p>0$, $k[[x]]$, the ring of formal power series over $ k$,$k((x))$, the quotient field of $ k[[x]]$, and $ k(x)$ the fieldof rational functions over $k$. we shall give somecharacterizations of an algebraic function $fin k((x))$ over $k$.let $l$ be a field of characteristic zero. the power series $finl[[x]]$ is called differentially algebraic, if it satisfies...

2010

We next want to construct a much larger ring in which infinite sums of multiples of elements of S are allowed. In order to insure that multiplication is well-defined, from now on we assume that S has the following additional property: (#) For all s ∈ S, {(s1, s2) ∈ S × S : s1s2 = s} is finite. Thus, each element of S has only finitely many factorizations as a product of two elements. For exampl...

Journal: :Proceedings of the American Mathematical Society 2005

Journal: :Annales mathématiques Blaise Pascal 2007

Journal: :Rocky Mountain Journal of Mathematics 2004

Journal: :Journal of the European Mathematical Society 2009

Journal: :Journal of Algebra Combinatorics Discrete Structures and Applications 2019

Journal: :Journal of Algebra and Its Applications 2019

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