Abstract
This paper investigates the transitivity of the relation defined by degeneration of finitely generated modules over an associative algebra. It is proved in this paper that if L degenerates to M and M degenerates to N, then \(L^{\oplus e}\) degenerates to \(N^{\oplus e}\) for some (but explicitly given) integer \(e>0\).
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The author was partly supported by JSPS Grant-in-Aid for Scientific Research 16K05098, 16KK0099 and 16H03923.