The singular ideal and the socle of incidence rings

Year 2021, Volume: 50 Issue: 2, 453 - 470, 11.04.2021

Müge Kanuni Er , Özkay Özkan

https://doi.org/10.15672/hujms.684042

https://izlik.org/JA68UY69DF

Abstract

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.

Keywords

incidence algebras , socle , singular ideal

References

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