Several Important Dimensions Of DG Polynomial Algebras

Posted on:2022-07-21

Degree:Master

Type:Thesis

Country:China

Candidate:M Y Zhang

Full Text:PDF

GTID:2480306722951869

Subject:Basic mathematics

Abstract/Summary:

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Assume that A is a cochain DG polynomial algebra such that its underlying graded algebra A#is a polynomial algebra generated by n degree 1 elements.We determine several important dimensions and invariants such as the DG Krull dimension,the Global dimension,the Ghost dimension and the Rouquier dimension of A.

Keywords/Search Tags:

DG polynomial algebra, Automorphism group, DG Krull dimension, Global dimension, Ghost dimension, Rouquier dimension

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