Ryszard R. Andruszkiewicz, Magdalena Sobolewska, “Commutative reduced”, Algebra Discrete Math., 2007, Issue 3,Pages <nobr>18

This article is cited in 6 papers

RESEARCH ARTICLE

Commutative reduced

Ryszard R. Andruszkiewicz, Magdalena Sobolewska

Institute of Mathematics, University of Białystok, ul. Akademicka 2, 15–267 Białystok, Poland

Abstract: A ring $R$ is filial when for every $I$, $J$, if $I$ is an ideal of $J$ and $J$ is an ideal of $R$ then $I$ is an ideal of $R$. Several characterizations and results on structure of commutative reduced filial rings are obtained.

Keywords: ideal, filial ring, reduced ring.

MSC: 16D25, 16D70, 13G05

Received: 16.07.2007
Revised: 27.01.2008

Language: English