Publication:
Characterization of Some Ring Properties in Incidence Algebras

Date
2011
Authors
Koç, Ayten
Esin, Songül
Kanuni Er, Müge
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Publisher
Taylor and Francis Online
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Abstract
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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Keywords
Ikeda-Nakayama ring, Incidence algebra, Kasch ring, Nil-injective ring, Singular ideal
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