Projective resolution of modules over the noncommutative algebra
Tomohiro Fukaya
TL;DR
This paper presents an explicit algorithm for computing projective resolutions of modules over noncommutative rings using noncommutative Groebner bases theory, facilitating algebraic computations in noncommutative algebra.
Contribution
It introduces a novel algorithm that leverages noncommutative Groebner bases to construct projective resolutions explicitly.
Findings
Algorithm successfully computes projective resolutions
Applicable to various noncommutative algebraic structures
Enhances computational methods in noncommutative algebra
Abstract
We give an explicit algorithm to compute a projective resolution of a module over the noncommutative ring based on the noncommutative Groebner bases theory.
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Taxonomy
TopicsCommutative Algebra and Its Applications · Algebraic structures and combinatorial models · Polynomial and algebraic computation