Notes on Gr\"obner Bases and Free Resolutions of Modules over Solvable Polynomial Algebras
Huishi Li
TL;DR
This paper provides systematic notes on the theory of Gr"obner bases and free resolutions for modules over solvable polynomial algebras, contributing to computational algebra and module theory.
Contribution
It offers a detailed, systematic exposition of Gr"obner bases and free resolutions specifically for modules over solvable polynomial algebras, enhancing understanding in this area.
Findings
Provides a comprehensive overview of Gr"obner bases in solvable polynomial algebras
Details methods for constructing free resolutions in this algebraic setting
Facilitates computational approaches in module theory over solvable polynomial algebras
Abstract
This text consists of five relatively systematic notes on Gr\"obner bases and free resolutions of modules over solvable polynomial algebras.
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Taxonomy
TopicsCommutative Algebra and Its Applications · Algebraic structures and combinatorial models · Rings, Modules, and Algebras