Generic freeness of modules over non-commutative domains

Elad Paran; Thieu N. Vo

doi:10.1016/j.jalgebra.2023.11.033

Generic freeness of modules over non-commutative domains

Elad Paran, Thieu N. Vo

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We generalize Grothendieck's generic freeness lemma to modules over semi-constructible extensions of normally bounded domains, extending previous results of Irving, McConnell, Robson, Artin, Small and Zhang, in which the base ring is commutative.

Original language	English
Pages (from-to)	735-753
Number of pages	19
Journal	Journal of Algebra
Volume	641
DOIs	https://doi.org/10.1016/j.jalgebra.2023.11.033
State	Published - 1 Mar 2024

Bibliographical note

Publisher Copyright:
© 2023 Elsevier Inc.

Keywords

Constructible extensions
Generic freeness
Non-commutative polynomial rings
Non-commutative ring theory
Normalizing extensions

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10.1016/j.jalgebra.2023.11.033

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title = "Generic freeness of modules over non-commutative domains",

abstract = "We generalize Grothendieck's generic freeness lemma to modules over semi-constructible extensions of normally bounded domains, extending previous results of Irving, McConnell, Robson, Artin, Small and Zhang, in which the base ring is commutative.",

keywords = "Constructible extensions, Generic freeness, Non-commutative polynomial rings, Non-commutative ring theory, Normalizing extensions",

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year = "2024",

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doi = "10.1016/j.jalgebra.2023.11.033",

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AU - Vo, Thieu N.

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N2 - We generalize Grothendieck's generic freeness lemma to modules over semi-constructible extensions of normally bounded domains, extending previous results of Irving, McConnell, Robson, Artin, Small and Zhang, in which the base ring is commutative.

AB - We generalize Grothendieck's generic freeness lemma to modules over semi-constructible extensions of normally bounded domains, extending previous results of Irving, McConnell, Robson, Artin, Small and Zhang, in which the base ring is commutative.

KW - Constructible extensions

KW - Generic freeness

KW - Non-commutative polynomial rings

KW - Non-commutative ring theory

KW - Normalizing extensions

UR - https://www.scopus.com/pages/publications/85185927623

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VL - 641

SP - 735

EP - 753

JO - Journal of Algebra

JF - Journal of Algebra

ER -

Generic freeness of modules over non-commutative domains

Abstract

Bibliographical note

Keywords

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