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On Stably free modules over Laurent polynomial rings
Stably free modules Hermite rings Unimodular rows
2011/2/21
We prove constructively that for any finite-dimensional commu-tative ring R and n dim(R) + 2, the group En(R[X,X−1]) acts transitively on Umn(R[X,X−1]). In particular, we obtain that for...
Skew polynomial rings, Groebner bases and the letterplace embedding of the free associative algebra
Skew polynomial rings Free algebras Gr¨obner bases
2010/12/9
In this paper we introduce an algebra embedding : KhXi → S from the free associative algebra KhXi generated by a finite or countable set X into the skew monoid ring S = P ∗ defined by the co...
UNIVARIATE ORE POLYNOMIAL RINGS IN COMPUTER ALGEBRA
UNIVARIATE POLYNOMIAL RINGS COMPUTER ALGEBRA
2013/9/3
We present some algorithms related to rings of Ore polynomials (or, briefly, Ore rings) and describe a computer algebra library for basic operations in an arbitrary Ore ring. The library can be used a...