Modules determined by their tops and socles

Bongartz, K.; Smalø, S. O.

doi:10.1090/S0002-9939-1986-0813804-0

Modules determined by their tops and socles
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by K. Bongartz and S. O. Smalø

Proc. Amer. Math. Soc. 96 (1986), 34-38

DOI: https://doi.org/10.1090/S0002-9939-1986-0813804-0

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Abstract:

We prove that a module in a preprojective component of the Auslander-Reiten quiver of an artin algebra is determined by its top and socle. Also other invariants determining such a module are given.

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