Algebra and Discrete Mathematics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Algebra Discrete Math.:
Year:
Volume:
Issue:
Page:
Find




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

Algebra and Discrete Mathematics, 2014, Volume 18, Issue 1, Pages 109–137 (Mi adm485)  
This article is cited in 4 scientific papers (total in 4 papers)

RESEARCH ARTICLE

Matrix approach to noncommutative stably free modules and Hermite rings

Oswaldo Lezama, Claudia Gallego

Departamento de Matemáticas, Universidad Nacional de Colombia, Ciudad Universitaria, Bogotá, Colombia
Full-text PDF (459 kB) Citations (4)
References:
PDF
HTML
Abstract: In this paper we present a matrix-constructive proof of an Stafford's Theorem about stably free modules over noncommutative rings. Matrix characterizations of noncommutative Hermite and projective-free rings are exhibit. Quotients, products and localizations of Hermite and some other classes of rings close related to Hermite rings are also considered.
Keywords: noncommutative rings and modules, stably free modules, Hermite rings, matrix methods in homological algebra.
Received: 22.12.2012
Revised: 12.03.2013
Bibliographic databases:
Document Type: Article
MSC: Primary 16D40; Secondary 15A21
Language: English
Citation: Oswaldo Lezama, Claudia Gallego, “Matrix approach to noncommutative stably free modules and Hermite rings”, Algebra Discrete Math., 18:1 (2014), 109–137
Citation in format AMSBIB
\Bibitem{LezGal14}
\by Oswaldo~Lezama, Claudia~Gallego
\paper Matrix approach to noncommutative stably free modules and Hermite rings
\jour Algebra Discrete Math.
\yr 2014
\vol 18
\issue 1
\pages 109--137
\mathnet{http://mi.mathnet.ru/adm485}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3283026}
Linking options:
  • https://www.mathnet.ru/eng/adm485
  • https://www.mathnet.ru/eng/adm/v18/i1/p109
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Algebra and Discrete Mathematics
    Statistics & downloads:
    Abstract page:736
    Full-text PDF :132
    References:45
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024