Abstract
A criterion of finite representability of dyadic sets is presented.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
REFERENCES
L. A. Nazarova and A. V. Roiter, “Representations and forms of weakly completed posets,” in: Linear Algebra and Representation Theory [in Russian], Institute of Mathematics, Ukrainian Academy of Sciences, Kiev, (1983), pp. 19–54.
L. A. Nazarova and A. V. Roiter, “Representations of bipartite completed posets,” Comment. Math. Helv., 63, 498–526 (1988).
L. A. Nazarova and A. V. Roiter, Representations of Biinvolutive Posets. I [in Russian], Preprint No. 91.34, Institute of Mathematics, Ukrainian Academy of Sciences, Kiev (1991).
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).
T. Guidon, Representations of Dyadic Sets, Part 2, Inaugural-Dissertation, Zürich (1996).
U. Hassler, Representations of Dyadic Sets, Part 1, Inaugural-Dissertation, Zürich (1996).
T. Guidon, U. Hassler, L. A. Nazarova, and A. V. Roiter, “Two representation algorithms for dyadic sets,” Comptes-Rendus Acad. Sci. Paris, Sér. I, 322, 915–920 (1996).
T. Guidon, U. Hassler, L. A. Nazarova, and A. V. Roiter, “Dyadic sets S: a dichotomy for indecomposable S-matrices,” Comptes-Rendus Acad. Sci. Paris, Sér. I, 324, 1205–1210 (1997).
A. V. Roiter, K. I. Belousov, and L. A. Nazarova, “Representation of finitely represented dyadic sets,” in: Proceedings of ICRA VIII – Canadian Math. Soc. Conf. Proc. (1998), pp. 61–76.
P. Gabriel and A. V. Roiter, Representations of Finite-Dimensional Algebras, Springer, Berlin (1997).
L. A. Nazarova and A. V. Roiter, “Representations of posets,” Zap. Nauchn. Sem. Leningrad. Otd. Mat. Inst. Akad. Nauk SSSR, 28, 5–31 (1972).
P. Gabriel, “Unzerlegbare Darstellungen I,” Manuscr. Math., 6, 71–103 (1972).
H. Bass, Algebraic K-Theory, Benjamin, New York (1968).
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).
L. A. Nazarova and A. V. Roiter, Categorical Matrix Problems and the Brauer–Thrall Problem [in Russian], Naukova Dumka, Kiev (1973).
C. M. Ringel, Tame Algebras and Integral Quadratic Forms, Lect. Notes Math., Vol. 1099, Springer, Berlin (1984).
P. Gabriel, L. A. Nazarova, A. V. Roiter, V. V. Sergeichuk, and D. Vossieck, “Tame and wild subspace problems,” Ukr. Mat. Zh., 45, No.3, 313–352 (1993).
M. M. Kleiner, “Posets of finite type,” Zap. Nauchn. Sem. Leningrad. Otd. Mat. Inst. Akad. Nauk SSSR, 28, 32–41 (1972).
N. Bourbaki, Eléments de Mathématique. Algèbre, Hermann, Paris (1937–1947).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Nazarova, L.A., Roiter, A.V. Finitely Represented Dyadic Sets. Ukrainian Mathematical Journal 52, 1561–1596 (2000). https://doi.org/10.1023/A:1010453117886
Issue Date:
DOI: https://doi.org/10.1023/A:1010453117886