Rings over which all torsion theories cogenerated by simple modules are jansian |
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Authors: | Giuseppe Baccella Jonathan S. Golan |
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Affiliation: | (1) Present address: Istituto Matematico, Università dell'Aquila, Via Roma 33, 67100 L'Aquila, Italia;(2) Present address: Department of Mathematics, University of Haifa, 31999 Haifa, Israel |
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Abstract: | Summary It is given a caracterization of (associative) rings (with unit element) over which all torsion theories cogenerated by simple modules are jansian. In the commutative case it is shown that such rings are finite products of local rings. Riassunto Vengono caratterizzati gli anelli (associativi con unità) per i quali tutte le teorie di torsione cogenerate da moduli semplici sono Jansiane. Nel caso commutativo si prova che tali anelli sono prodotti finiti di anelli locali. This work was written while the second author was visiting Università dell'Aquila, supported by a grant from the Consiglio Nazionale delle Ricerche. |
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