2020/09/27 by Muge Kanuni, Müge KANUNİ ER, Ozkay Ozkan +1
Computer Science · Decision Sciences · Mathematics · #Advanced Algebra and Logic #Artinian ring #Fuzzy and Soft Set Theory #Ideal (ethics) #Incidence (geometry) #Principal ideal ring #Ring (chemistry) #Rings, Modules, and Algebras #Set (abstract data type) #Socle #math.RA #msc:16D25
paper · pdf · doi:10.15672/hujms.684042
23 pages
openalex publication_date 2020/09/27 · openalex created_date 2020/10/01 · arxiv created 2020/12/24 · arxiv updated 2020/12/29 · openalex updated_date 2026/08/05
Let R be a ring with identity and I(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.