Geodesic
Special Principal Ideal Rings and Absolute Subretracts
Canadian mathematical bulletin, Tome 34 (1991) no. 3, pp. 364-367

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DOI

A ring R is said to be an absolute subretract if for any ring S in the variety generated by R and for any ring monomorphism f from R into S, there exists a ring morphism g from S to R such that gf is the identity mapping. This concept, introduced by Gardner and Stewart, is a ring theoretic version of an injective notion in certain varieties investigated by Davey and Kovacs.Also recall that a special principal ideal ring is a local principal ring with nonzero nilpotent maximal ideal. In this paper (finite) special principal ideal rings that are absolutesubretracts are studied.
DOI : 10.4153/CMB-1991-058-6
Mots-clés : 16A52, 08B30, absolute subretracts, special principal ideal ring 
Jespers, Eric. Special Principal Ideal Rings and Absolute Subretracts. Canadian mathematical bulletin, Tome 34 (1991) no. 3, pp. 364-367. doi: 10.4153/CMB-1991-058-6
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     author = {Jespers, Eric},
     title = {Special {Principal} {Ideal} {Rings} and {Absolute} {Subretracts}},
     journal = {Canadian mathematical bulletin},
     pages = {364--367},
     year = {1991},
     volume = {34},
     number = {3},
     doi = {10.4153/CMB-1991-058-6},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1991-058-6/}
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