The singular ideal and the socle of incidence rings

Authors : Müge KANUNİ ER, Özkay ÖZKAN

Pages : 453-470

Doi:10.15672/hujms.684042

View : 18 | Download : 7

Publication Date : 2021-04-11

Article Type : Research Paper

Abstract :Let $R$ be a ring with identity and $Iinsert ignore into journalissuearticles values(X,R);$ be the incidence ring of a locally finite partially ordered set $X$ over $R.$ In this paper, we compute the socle and the singular ideal of the incidence ring for some $X$ in terms of the socle of $R$ and the singular ideal of $R$, respectively.
Keywords : incidence algebras, socle, singular ideal