Publication: Characterization of Some Ring Properties in Incidence Algebras
Date
2011
Authors
Koç, Ayten
Esin, Songül
Kanuni Er, Müge
Journal Title
Journal ISSN
Volume Title
Publisher
Taylor and Francis Online
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.
Description
Keywords
Ikeda-Nakayama ring, Incidence algebra, Kasch ring, Nil-injective ring, Singular ideal