Precovers |
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Authors: | Ladislav Bican Blas Torrecillas |
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Affiliation: | (1) KA MFF UK, Sokolovská 83, 186 75 Praha 8, Czech Republic;(2) Department of Algebra and Analysis, Universidad de Almería, 04071 Almería, Spain |
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Abstract: | Let be an abstract class (closed under isomorpic copies) of left R-modules. In the first part of the paper some sufficient conditions under which is a precover class are given. The next section studies the -precovers which are -covers. In the final part the results obtained are applied to the hereditary torsion theories on the category on left R-modules. Especially, several sufficient conditions for the existence of -torsionfree and -torsionfree -injective covers are presented. |
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Keywords: | precover cover (pre)cover class of modules hereditary torsion theory relatively injective modules |
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