Commutative reduced
Algebra and discrete mathematics, no. 3 (2007), pp. 18-26
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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.
@article{ADM_2007_3_a3,
author = {Ryszard R. Andruszkiewicz and Magdalena Sobolewska},
title = {Commutative reduced},
journal = {Algebra and discrete mathematics},
pages = {18--26},
publisher = {mathdoc},
number = {3},
year = {2007},
language = {en},
url = {http://geodesic.mathdoc.fr/item/ADM_2007_3_a3/}
}
Ryszard R. Andruszkiewicz; Magdalena Sobolewska. Commutative reduced. Algebra and discrete mathematics, no. 3 (2007), pp. 18-26. http://geodesic.mathdoc.fr/item/ADM_2007_3_a3/