×

Representation of partially ordered sets. (English. Russian original) Zbl 0336.16031

J. Sov. Math. 3, 585-606 (1975); translation from Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 28, 5-31 (1972).

MSC:

16G20 Representations of quivers and partially ordered sets
06A06 Partial orders, general
08A05 Structure theory of algebraic structures
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] L. A. Nazarova, ?Representations of a tetrad,? Izv. Akad Nauk SSSR, Ser. Matem.,31, No. 6, 1361?1378 (1967).
[2] Yu. A. Drozd and A. V. Roiter, ?Commutative rings with a finite number of integral indecomposable representations,? Izv. Akad. Nauk SSSR, Ser. Matem.,31, No. 4, 783?798 (1967). · Zbl 0169.35901
[3] L. A. Nazarova and A. V. Roiter, ?Finitely generated modules over a dyad of two local Dedekind rings and finite groups possessing an Abelian normal divisor of index p,? Izv. Akad. Nauk SSSR, Ser. Matem.,33, No. 1, 65?89 (1969).
[4] L. A. Nazarova, ?Integral representations of the fourfold group,? Dokl. Akad. Nauk SSSR,140, No. 5, 1011?1014 (1961).
[5] Yu. A. Drozd and V. V. Kirichenko, ?Representations of completely decomposable rings,? Matem. Zametki,3, No. 6, 643?650 (1968). · Zbl 0169.35902
[6] M. C. R. Butler, Relations between Diagrams of Modules. Preprint, Liverpool, England, · Zbl 0214.05701
[7] L. A. Nazarova and A. V. Roiter, ?Matrix questions and the Brauer-Thrall conjectures on algebras with an infinite number of indecomposable representations,? Proc. Symp. Pure Math., Vol. 21, Amer. Math. Soc., Providence, R. I. (1971), pp. 111?116. · Zbl 0258.16017
[8] J. P. Jans, ?On the indecomposable representations of algebras,? Ann. Math.,66, No. 2, 418?429 (1957). · Zbl 0079.05203
[9] A. V. Roiter, ?Unboundedness of the dimension of indecomposable representations of algebras having infinitely many indecomposable representations,? Izv. Akad. Nauk SSSR, Ser. Matem.,32, No. 6, 1275?1282 (1968).
[10] M. Hall, Combinatorial Analysis [Russian translation], Mir, Moscow (1970).
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.