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, 2007, Issue 4, Pages 108–122 (Mi adm238)  
RESEARCH ARTICLE

On quantales of preradical Bland filters and differential preradical filters

Ivanna Melnyk

Algebra and Logic Department, Mechanics and Mathematics Faculty, Ivan Franko National University of Lviv, 1 Universytetska Str., Lviv, 79000, Ukraine
Full-text PDF (256 kB)
Abstract: We prove that the set of all Bland preradical filters over an arbitrary differential ring form a quantale with respect to meets where the role of multiplication is played by the usual Gabriel pro-duct of filters. A subset of a differential pretorsion theory is a subquantale of this quantale.
Keywords: differential ring, quantale, differential preradical filter, differential preradical Bland filter, differential torsion theory, Bland torsion theory.
Received: 15.05.2007
Revised: 15.05.2007
Bibliographic databases:
Document Type: Article
MSC: 20F05, 20E05, 57M07
Language: English
Citation: Ivanna Melnyk, “On quantales of preradical Bland filters and differential preradical filters”, Algebra Discrete Math., 2007, no. 4, 108–122
Citation in format AMSBIB
\Bibitem{Mel07}
\by Ivanna~Melnyk
\paper On quantales of preradical Bland filters and differential preradical filters
\jour Algebra Discrete Math.
\yr 2007
\issue 4
\pages 108--122
\mathnet{http://mi.mathnet.ru/adm238}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2423714}
\zmath{https://zbmath.org/?q=an:1164.16013}
Linking options:
  • https://www.mathnet.ru/eng/adm238
  • https://www.mathnet.ru/eng/adm/y2007/i4/p108
    • 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:116
    Full-text PDF :72
    First page:1
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024