Advertisement

Ukrainian Mathematical Journal

, Volume 49, Issue 11, pp 1644–1658 | Cite as

Finitely represented dyadic sets and their multielementary representations

  • K. I. Belousov
  • L. A. Nazarova
  • A. V. Roiter
Article

Abstract

We obtain the direct reduction of representations of a dyadic set S such that |Ind C(S)⥻<∞ to the bipartite case.

Keywords

Ukrainian Academy Admissible Pair Minimal Height Dual String Linear Hull 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    L. A. Nazarova and A. V. Roiter, Representations of Biinvolutive Posets [in Russian], Preprint No. 91.34. Institute of Mathematics, Ukrainian Academy of Sciences, Kiev (1991).Google Scholar
  2. 2.
    P. Gabriel and A. V. Roiter, “Representations of finite-dimensional algebras,” in: Encyclopacdia Math. Sci., Vol. 73. Algebra 8, Springer, New York (1992).Google Scholar
  3. 3.
    K. I. Belousov, L. A. Nazarova, A. V. Roiter, and V. V. Sergeichuk., “Elementary and multielementary representations of vectroids,” Ukr. Mat. Zh., 47, No. 11, 1451–1477 (1995).zbMATHCrossRefMathSciNetGoogle Scholar
  4. 4.
    T. Guidon, U. Hassler, L. A. Nazarova, and A. V. Roiter, “Two reduction algorithms for dyadie sets,” Comptes-Rendus Acad. Sci., Paris, Sér. I., 322, 915–920 (1996).zbMATHMathSciNetGoogle Scholar
  5. 5.
    L. A. Nazarova and A. V. Roiter, Representations of Biinvolutive Posets. II [in Russian], Preprint. No. 94.2, Institute of Mathematics, Ukrainian academy of Sciences, Kiev (1994).Google Scholar
  6. 6.
    U. Hassler, Representations of Dyadic Sets, Part I, Inaugural-Dissertation, Zürich (1996).Google Scholar
  7. 7.
    T. Guidon, Representations of Dyadic Sets, Part 2, Inaugural-Dissertation, Zürich (1996).zbMATHGoogle Scholar
  8. 8.
    L. A. Nazarova and A. V. Roiter, “Representations of bipartite completed posets,” Comment. Helv. Math., 63, 498–526 (1988).zbMATHCrossRefMathSciNetGoogle Scholar
  9. 9.
    K. I. Belousov, L. A. Nazarova, and A. V. Roiter, Finitely Represented Dyadic Sets and Their Multielementary Representations [in Russian], Preprint No. 97.6, Institute of Mathematics, Ukrainian Academy of Sciences, Kiev (1997).Google Scholar
  10. 10.
    L. A. Nazarova and A. V. Roiter, “Representations and forms of weakly completed posets,” in Linear Algebra and the Theory of Representations, Institute of Mathematics, Ukrainian Academy of Sciences, Kiev (1983) pp. 19–54.Google Scholar

Copyright information

© Plenum Publishing Corporation 1998

Authors and Affiliations

  • K. I. Belousov
  • L. A. Nazarova
  • A. V. Roiter

There are no affiliations available

Personalised recommendations