We establish the representation types (finite, tame, or wild) of nodal algebras of type D.
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Y. A. Drozd and V. V. Zembyk, “Representations of nodal algebras of type A,” Algebra Discrete Math., 15, No. 2, 179–200 (2013).
V. V. Zembyk, “Structure of finite-dimensional nodal algebras,” Ukr. Mat. Zh., 66, No. 3, 415–419 (2014).
Yu. A. Drozd and V. V. Kirichenko, Finite-Dimensional Algebras [in Russian], Vyshcha Shkola, Kiev (1980).
I. N. Bernshtein, I. M. Gel’fand, and V. A. Ponomarev, “Coxeter functors and the Gabriel theorem,” Usp. Mat. Nauk, 28, No. 2, 19–33 (1973).
M. M. Kleiner, “Partially ordered sets of finite type,” Zap. Nauch. Sem. LOMI, 28, 32–41 (1972).
L. A. Nazarova, “Partially ordered sets of infinite type,” Izv. Akad. Nauk SSSR, Ser. Mat., 39, 963–991 (1975).
I. Burban and Y. Drozd, “Derived categories of nodal algebras,” J. Algebra, 272, 46–94 (2004).
V. M. Bondarenko, Bundles of Semichain Sets and Their Representations [in Russian], Preprint No. 88.60, Institute of Mathematics, Ukrainian Academy of Sciences, Kiev (1988).
M. M. Kleiner, “Pairs of partially ordered sets of tame representation type,” Linear Algebra Appl., 104, 103–115 (1988).
C. Geiss and de la J. A. Peña, “An interesting family of algebras,” Arch. Math., 60, 25–35 (1993).
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 66, No. 7, pp. 930–938, July, 2014.
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Drozd, Y.A., Zembyk, V.V. Representation Type of Nodal Algebras of Type D. Ukr Math J 66, 1037–1047 (2014). https://doi.org/10.1007/s11253-014-0993-9
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DOI: https://doi.org/10.1007/s11253-014-0993-9