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Characterization of Some Ring Properties in Incidence Algebras

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Esin, Songül

Kanuni Er, Müge

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Let R be a ring with identity and I(X, R) be the incidence algebra of a locally finite partially ordered set X over R. In this article, we investigate the necessary and sufficient conditions for the incidence ring to be Ikeda-Nakayama, nil injective, NI, reduced, nonsingular and Kasch ring.

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https://doi.org/10.1080/00927872.2010.512589

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