Izvestiya: Mathematics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Izv. RAN. Ser. Mat.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Izvestiya: Mathematics, 2013, Volume 77, Issue 4, Pages 696–699
DOI: https://doi.org/10.1070/IM2013v077n04ABEH002656 (Mi im8023) 		 
Generation of modules and transcendence degree of zero-cycles

S. O. Gorchinskiy

Steklov Mathematical Institute of the Russian Academy of Sciences
English version PDF (185 kB) Russian version article
References:
PDF
HTML
DOI: https://doi.org/10.1070/IM2013v077n04ABEH002656
Abstract: We construct an example of a regular algebra over $\mathbb C$ of dimension $d$ and a projective module of rank $r$ over this algebra which is not generated by $d+r-1$ elements. This strengthens Swan's well-known example over the field of real numbers.
Keywords: modules over rings, Chow groups.
Funding agency Grant number
Russian Foundation for Basic Research 11-01-00145-а
12-01-31506_мол-а
12-01-33024_мол-а-вед
Ministry of Education and Science of the Russian Federation МК-4881.2011.1
НШ-5139.2012.1
11.G34.31.0023
Received: 02.07.2012
Revised: 09.11.2012
Bibliographic databases:
Document Type: Article
UDC: 512.7
MSC: 13E15, 14C25
Language: English
Original paper language: Russian
Citation: S. O. Gorchinskiy, “Generation of modules and transcendence degree of zero-cycles”, Izv. Math., 77:4 (2013), 696–699
Citation in format AMSBIB
\Bibitem{Gor13}
\by S.~O.~Gorchinskiy
\paper Generation of modules and transcendence degree of zero-cycles
\jour Izv. Math.
\yr 2013
\vol 77
\issue 4
\pages 696--699
\mathnet{http://mi.mathnet.ru//eng/im8023}
\crossref{https://doi.org/10.1070/IM2013v077n04ABEH002656}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3135697}
\zmath{https://zbmath.org/?q=an:06216124}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2013IzMat..77..696G}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000323747900003}
\elib{https://elibrary.ru/item.asp?id=20425261}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84884631383}
Linking options:
  • https://www.mathnet.ru/eng/im8023
  • https://doi.org/10.1070/IM2013v077n04ABEH002656
  • https://www.mathnet.ru/eng/im/v77/i4/p55
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:466
    Russian version PDF:172
    English version PDF:9
    References:40
    First page:9
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024