Publication: Characterization of Some Ring Properties in Incidence Algebras
Kanuni Er, Müge
Taylor and Francis Online
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.
Ikeda-Nakayama ring, Incidence algebra, Kasch ring, Nil-injective ring, Singular ideal