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Rings whose class of projective modules is socle fine
Idelhadj, Abdelouahab
Kaidi, El Amin
Martín Barquero, Dolores
Martín González, Cándido

Data: 2004
Resum: A class C of modules over a unitary ring is said to be socle fine if whenever M, N ∈ C with Soc(M) ∼= Soc(N) then M ∼= N. In this work we characterize certain types of rings by requiring a suitable class of its modules to be socle fine. Then we study socle fine classes of quasi-injective, quasi-projective and quasicontinuous modules which we apply to find socle fine classes in special types of noetherian rings. We also initiate the study of those rings whose class of projective modules is socle fine.
Drets: Tots els drets reservats.
Llengua: Anglès.
Document: Article ; recerca ; article ; publishedVersion
Matèria: Socle fine class ; Projective module ; QI-module ; QP-module
Publicat a: Publicacions matematiques, V. 48 N. 2 (2004) , p. 397-408, ISSN 0214-1493

DOI: 10.5565/PUBLMAT_48204_06

12 p, 139.0 KB

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