Trudy Instituta Matematiki i Mekhaniki UrO RAN
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



Trudy Inst. Mat. i Mekh. UrO RAN:
Year:
Volume:
Issue:
Page:
Find






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


Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2011, Volume 17, Number 4, Pages 278–292 (Mi timm770)  

On finite critical lattices. II

O. E. Perminova

Ural Federal University
References:
Abstract: Critical lattices are considered, i.e., lattices without nontrivial endomorphisms and not containing nontrivial proper sublattices without nontrivial endomorphisms. It is proved that there exist $n$-element critical lattices for $n=7$ and $n\geq9$.
Keywords: lattice, sublattice, endomorphism, critical lattice.
Bibliographic databases:
Document Type: Article
UDC: 512.562
Language: Russian
Citation: O. E. Perminova, “On finite critical lattices. II”, Trudy Inst. Mat. i Mekh. UrO RAN, 17, no. 4, 2011, 278–292
Citation in format AMSBIB
\Bibitem{Per11}
\by O.~E.~Perminova
\paper On finite critical lattices.~II
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2011
\vol 17
\issue 4
\pages 278--292
\mathnet{http://mi.mathnet.ru/timm770}
\elib{https://elibrary.ru/item.asp?id=17870443}
Linking options:
  • https://www.mathnet.ru/eng/timm770
  • https://www.mathnet.ru/eng/timm/v17/i4/p278
    Cycle of papers
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Trudy Instituta Matematiki i Mekhaniki UrO RAN
    Statistics & downloads:
    Abstract page:319
    Full-text PDF :97
    References:53
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024