Algebra i logika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Subscription

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Algebra Logika:
Year:
Volume:
Issue:
Page:
Find






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


Algebra Logika, 2012, Volume 51, Number 1, Pages 3–40 (Mi al520)  

Logic in representations of groups

E. Aladovaa, A. A. Gvaramiyab, B. I. Plotkinc

a Dep. Math., Bar-Ilan University, Ramat Gan, Israel
b Sukhum, Abkhazia
c Dep. Math., Hebrew University of Jerusalem, Jerusalem, Israel

Abstract: Let $K$ be a commutative and associative ring with unit. We consider representations of groups over $K$ from the viewpoint of some logic. In particular, different logical invariants of representations, as well as relations between the various representations corresponding to the invariants, are studied. One of the basic relations is isotypeness. Here we use the concept of a type adopted in model theory. This paper adjoins results by B. I. Plotkin in [Isotyped algebras, in Mal'tsev Readings, Sovr. Mat. Pril., 15, MIAN, Moscow, 40–66 (2011)], where similar results were derived for one-sorted algebras.

Keywords: representations of groups, invariants of representations.

Full text: PDF file (319 kB)
References: PDF file   HTML file

English version:
Algebra and Logic, 2012, 51:1, 1–27

Bibliographic databases:

UDC: 512.54.05+512.57
Received: 19.04.2011

Citation: E. Aladova, A. A. Gvaramiya, B. I. Plotkin, “Logic in representations of groups”, Algebra Logika, 51:1 (2012), 3–40; Algebra and Logic, 51:1 (2012), 1–27

Citation in format AMSBIB
\Bibitem{AlaGvaPlo12}
\by E.~Aladova, A.~A.~Gvaramiya, B.~I.~Plotkin
\paper Logic in representations of groups
\jour Algebra Logika
\yr 2012
\vol 51
\issue 1
\pages 3--40
\mathnet{http://mi.mathnet.ru/al520}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=2986462}
\zmath{https://zbmath.org/?q=an:1259.03048}
\transl
\jour Algebra and Logic
\yr 2012
\vol 51
\issue 1
\pages 1--27
\crossref{https://doi.org/10.1007/s10469-012-9167-8}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000304163300001}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84860547706}


Linking options:
  • http://mi.mathnet.ru/eng/al520
  • http://mi.mathnet.ru/eng/al/v51/i1/p3

    SHARE: VKontakte.ru FaceBook Twitter Mail.ru Livejournal Memori.ru


    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles
  • Алгебра и логика Algebra and Logic
    Number of views:
    This page:310
    Full text:80
    References:38
    First page:22

     
    Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2021