Articles with "polynomial algebra" as a keyword



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On a Minimal Set of Generators for the Polynomial Algebra of Five Variables as a Module over the Steenrod Algebra

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Published in 2017 at "Acta Mathematica Vietnamica"

DOI: 10.1007/s40306-016-0190-z

Abstract: Let Pk be the graded polynomial algebra ????2[x1,x2,…,xk]$\mathbb {F}_{2}[x_{1},x_{2},{\ldots } ,x_{k}]$ over the prime field of two elements, ????2$\mathbb {F}_{2}$, with the degree of each xi being 1. We study the hit problem, set up… read more here.

Keywords: generators polynomial; algebra five; polynomial algebra; set generators ... See more keywords
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On the trace of the Coxeter polynomial of an algebra

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Published in 2018 at "Linear Algebra and its Applications"

DOI: 10.1016/j.laa.2017.10.015

Abstract: Abstract Let A = K Q / I be a finite dimensional triangular K -algebra. Let ϕ A be the Coxeter matrix of A . We relate homological conditions for A with properties of the… read more here.

Keywords: cyclotomic type; algebra; polynomial algebra; trace coxeter ... See more keywords