Abstract
We investigate the finite-dimensionality and growth of algebras specified by a system of polylinearly interrelated generators. The results obtained are formulated in terms of a function ρ.
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M. Vlasenko, A. Mellit, and Yu. Samoilenko, “On algebras specified by linearly interrelated generators with given spectrum,” Funkts. Anal. Prilozhen., 39, No. 3, 14–27 (2005).
L. A. Nazarova and A. V. Roiter, “The norm of a relation, separating functions, and representations of marked quivers,” Ukr. Mat. Zh., 54, No. 6, 808–840 (2002).
I. K. Redchuk and A. V. Roiter, “Singular locally scalar representations of quivers in Hilbert spaces and separating functions,” Ukr. Mat. Zh., 56, No. 6, 796–809 (2004).
V. A. Ufnarovskii, “Combinatorial and asymptotic methods in algebra,” in: VINITI Series in Contemporary Problems in Mathematics, Fundamental Trends [in Russian], Vol. 57, VINITI, Moscow (1990), pp. 5–77.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 57, No. 10, pp. 1435–1440, October, 2005.
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Redchuk, I.K. Finite-dimensionality and growth of algebras specified by polylinearly interrelated generators. Ukr Math J 57, 1679–1685 (2005). https://doi.org/10.1007/s11253-006-0023-7
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DOI: https://doi.org/10.1007/s11253-006-0023-7