Characterization of some ring properties in incidence algebras
Citation
ESİN, S., KOÇ, M., KOÇ, A. (2011). Characterization of some ring properties in incidence algebras. Communications in Algebra, 39 (10), pp. 3836-3848. https://dx.doi.org/10.1080/00927872.2010.512589.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.
