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

نتاج البحث: نشر في مجلة › مقالة › مراجعة النظراء

ملخص

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.

اللغة الأصلية	الإنجليزيّة
الصفحات (من إلى)	735-753
عدد الصفحات	19
دورية	Journal of Algebra
مستوى الصوت	641
المعرِّفات الرقمية للأشياء	https://doi.org/10.1016/j.jalgebra.2023.11.033
حالة النشر	نُشِر - 1 مارس 2024

ملاحظة ببليوغرافية

Publisher Copyright:
© 2023 Elsevier Inc.

الوصول إلى المستند

10.1016/j.jalgebra.2023.11.033

الملفات والروابط الأخرى

Link to publication in Scopus

قم بذكر هذا

@article{ee286398eb304dadaaab2089ff57ce73,

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",

volume = "641",

pages = "735--753",

journal = "Journal of Algebra",

issn = "0021-8693",

publisher = "Academic Press Inc.",

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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 - ???researchoutput.researchoutputtypes.contributiontojournal.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

ملخص

ملاحظة ببليوغرافية

الوصول إلى المستند

الملفات والروابط الأخرى

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قم بذكر هذا