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

Department of Computer Science

Open University of Israel
Fractional Calculus
Ton Duc Thang University

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

2 Citations (SciVal)

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
Early online date	18 Dec 2023
DOIs	https://doi.org/10.1016/j.jalgebra.2023.11.033
Publication status	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

ASJC Scopus subject areas

Algebra and Number Theory

Access to Document

10.1016/j.jalgebra.2023.11.033

Cite this

@article{5ebbf2b6b8a34f29be87e593c8fb626d,

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",

author = "Elad Paran and Vo, \{Thieu N.\}",

note = "Publisher Copyright: {\textcopyright} 2023 Elsevier Inc.",

year = "2024",

month = mar,

day = "1",

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

language = "English",

volume = "641",

pages = "735--753",

journal = "Journal of Algebra",

issn = "0021-8693",

publisher = "Elsevier Academic Press Inc",

}

TY - JOUR

T1 - Generic freeness of modules over non-commutative domains

AU - Paran, Elad

AU - Vo, Thieu N.

PY - 2024/3/1

Y1 - 2024/3/1

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

U2 - 10.1016/j.jalgebra.2023.11.033

DO - 10.1016/j.jalgebra.2023.11.033

M3 - Article

AN - SCOPUS:85185927623

SN - 0021-8693

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

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this