CHARACTERIZATION OF SOME RING PROPERTIES IN INCIDENCE ALGEBRAS


Esin S., Kanuni M., Koc A.

COMMUNICATIONS IN ALGEBRA, no.10, pp.3836-3848, 2011 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Publication Date: 2011
  • Doi Number: 10.1080/00927872.2010.512589
  • Journal Name: COMMUNICATIONS IN ALGEBRA
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.3836-3848
  • Istanbul Kültür University Affiliated: No

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.