Incidence rings with self-duality

Haack, Joel K.

doi:10.1090/S0002-9939-1980-0550486-4

Incidence rings with self-duality
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by Joel K. Haack

Proc. Amer. Math. Soc. 78 (1980), 165-169

DOI: https://doi.org/10.1090/S0002-9939-1980-0550486-4

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Abstract:

An artinian ring R is said to have self-duality if there is a Morita duality between the categories of left and right finitely generated R-modules. Here it is shown that the incidence ring of a finite preordered set over a division ring has self-duality. This is accomplished in part by calculating their injective modules.

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