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

Voir la notice de l'article provenant de la source Cambridge University Press

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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