Geodesic
On Annelidan, Distributive, and Bézout Rings
Canadian journal of mathematics, Tome 72 (2020) no. 4, pp. 1082-1110

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DOI

A ring is called right annelidan if the right annihilator of any subset of the ring is comparable with every other right ideal. In this paper we develop the connections between this class of rings and the classes of right Bézout rings and rings whose right ideals form a distributive lattice. We obtain results on localization of right annelidan rings at prime ideals, chain conditions that entail left-right symmetry of the annelidan condition, and construction of completely prime ideals.
DOI : 10.4153/S0008414X19000270
Mots-clés : annelidan ring, distributive ring, Bézout ring 
Marks, Greg; Mazurek, Ryszard. On Annelidan, Distributive, and Bézout Rings. Canadian journal of mathematics, Tome 72 (2020) no. 4, pp. 1082-1110. doi: 10.4153/S0008414X19000270
@article{10_4153_S0008414X19000270,
     author = {Marks, Greg and Mazurek, Ryszard},
     title = {On {Annelidan,} {Distributive,} and {B\'ezout} {Rings}},
     journal = {Canadian journal of mathematics},
     pages = {1082--1110},
     year = {2020},
     volume = {72},
     number = {4},
     doi = {10.4153/S0008414X19000270},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008414X19000270/}
}
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