Rings over which some preradicals are torsions
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2023-12-04 18:15
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BUNU, Ion. Rings over which some preradicals are torsions. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2004, nr. 1(44), pp. 40-45. ISSN 1024-7696.
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
Numărul 1(44) / 2004 / ISSN 1024-7696 /ISSNe 2587-4322

Rings over which some preradicals are torsions

Pag. 40-45

Bunu Ion
 
Academy of Economic Studies of Moldova
 
 
Disponibil în IBN: 8 decembrie 2013


Rezumat

Let R be an associative ring with identity and z be a pretorsion such that its filter consists of the essential left ideals of the ring R. In this paper, it is proved that every preradical r ≥ z of R−Mod is a torsion if and only if the ring R is a finite direct sum of pseudoinjective simple rings.

Cuvinte-cheie
Torsion (pretorsion), strongly prime ring, pseudoinjective module (ring).,

essential ideal