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Generalized n -coherence

Josef Jirásko — 2000

Commentationes Mathematicae Universitatis Carolinae

In this paper necessary and sufficient conditions for large subdirect products of n -flat modules from the category G e n ( Q ) to be n -flat are given.

On a generalization of Q I -rings

Josef Jirásko — 1999

Commentationes Mathematicae Universitatis Carolinae

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 T Q I -rings investigated by J. Ahsan and E. Enochs in [1]. Our aim was to generalize some results concerning Q I -rings obtained by J.S. Golan and S.R. L’opez-Permouth in [12]. A characterization of the Q I -property in the...

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