On a generalization of $QI$-rings
Jirásko, Josef
Commentationes Mathematicae Universitatis Carolinae, Tome 40 (1999), p. 441-446 / Harvested from Czech Digital Mathematics Library
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In this paper rings for which every $s$-torsion quasi-injective module is weakly $s$-divisible for a hereditary preradical $s$ are characterized in terms of the properties of the corresponding lattice of the (hereditary) preradicals. In case of a stable torsion theory these rings coincide with $TQI$-rings investigated by J. Ahsan and E. Enochs in [1]. Our aim was to generalize some results concerning $QI$-rings obtained by J.S. Golan and S.R. L'opez-Permouth in [12]. A characterization of the $QI$-property in the category $\sigma[M]$ then follows as a consequence.

Publié le : 1999-01-01
Classification:  16D50,  16N80,  16S90 
@article{119100,
     author = {Josef Jir\'asko},
     title = {On a generalization of $QI$-rings},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {40},
     year = {1999},
     pages = {441-446},
     zbl = {1014.16003},
     mrnumber = {1732491},
     language = {en},
     url = {http://dml.mathdoc.fr/item/119100}
}

Jirásko, Josef. On a generalization of $QI$-rings. Commentationes Mathematicae Universitatis Carolinae, Tome 40 (1999) pp. 441-446. http://gdmltest.u-ga.fr/item/119100/

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