Zapiski Nauchnykh Seminarov POMI
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


Zap. Nauchn. Sem. POMI:
Year:
Volume:
Issue:
Page:
Find




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

Zapiski Nauchnykh Seminarov POMI, 2009, Volume 373, Pages 318–344 (Mi znsl3590)  
Categorical interpretation of logical derivations and some its applications to algebra

A. El Khourya, S. Solovieva, L. Mehatsb, M. Spivakovskya

a University of Toulouse, Toulouse, France
b LaBRI, University of Bordeaux I, Talence, France
Full-text PDF (332 kB)
References:
PDF
HTML
Abstract: We consider certain applications of proof theory to the study of algebraic categories. The case usually studied in literature is the case of free categories with additional structure. In this paper we consider several problems in non-free categories, such as the problem of full coherence, the problem of dependency of diagrams, the problem of description of arbitrary natural transformations, that show that the applications of proof theory to categories may go much farther. Bibl. – 18 titles.
Key words and phrases: closed categories, natural transformations, coherence, dependency of diagrams, semirings, semimodules.
Received: 21.09.2009
English version:
Journal of Mathematical Sciences (New York), 2010, Volume 168, Issue 3, Pages 491–503
DOI: https://doi.org/10.1007/s10958-010-0002-2
Bibliographic databases:
Document Type: Article
UDC: 510.64+512.58
Language: Russian
Citation: A. El Khoury, S. Soloviev, L. Mehats, M. Spivakovsky, “Categorical interpretation of logical derivations and some its applications to algebra”, Representation theory, dynamical systems, combinatorial methods. Part XVII, Zap. Nauchn. Sem. POMI, 373, POMI, St. Petersburg, 2009, 318–344; J. Math. Sci. (N. Y.), 168:3 (2010), 491–503
Citation in format AMSBIB
\Bibitem{El SolMeh09}
\by A.~El Khoury, S.~Soloviev, L.~Mehats, M.~Spivakovsky
\paper Categorical interpretation of logical derivations and some its applications to algebra
\inbook Representation theory, dynamical systems, combinatorial methods. Part~XVII
\serial Zap. Nauchn. Sem. POMI
\yr 2009
\vol 373
\pages 318--344
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3590}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2010
\vol 168
\issue 3
\pages 491--503
\crossref{https://doi.org/10.1007/s10958-010-0002-2}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-77954759724}
Linking options:
  • https://www.mathnet.ru/eng/znsl3590
  • https://www.mathnet.ru/eng/znsl/v373/p318
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Записки научных семинаров ПОМИ
    Statistics & downloads:
    Abstract page:218
    Full-text PDF :70
    References:46
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024