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

מתמטיקה

פרסום מחקרי: פרסום בכתב עת › מאמר › ביקורת עמיתים

תקציר

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.

שפה מקורית	אנגלית
עמודים (מ-עד)	735-753
מספר עמודים	19
כתב עת	Journal of Algebra
כרך	641
מזהי עצם דיגיטלי (DOIs)	https://doi.org/10.1016/j.jalgebra.2023.11.033
סטטוס פרסום	פורסם - 1 מרץ 2024

הערה ביבליוגרפית

Publisher Copyright:
© 2023 Elsevier Inc.

גישה למסמך

10.1016/j.jalgebra.2023.11.033

קבצים וקישורים אחרים

Link to publication in Scopus

פורמט ציטוט ביבליוגרפי

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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",

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 = "אנגלית",

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journal = "Journal of Algebra",

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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

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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

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