Lattice Properties of Torsion Theories |
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| Authors: | Ladislav Bican Václav Slavík |
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| Institution: | 1. KA MFF UK , Praha , Czech Republik bican@karlin.mff.cuni.cz;3. Czech University of Life Sciences Prague , Praha , Czech Republik |
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| Abstract: | The main purpose of this brief note is to show that the sets of all hereditary torsion theories which are noetherian, strongly noetherian, or of finite type, respectively, form a sublattice of the lattice of all hereditary torsion theories for the category R-mod. |
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| Keywords: | Hereditary torsion theory Precover class Relative purity |
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