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On some relations between the lattices \(R\)-nat, \(R\)-conat and \(R\)-tors and the rings they characterize. (English) Zbl 1270.16004


MSC:

16D90 Module categories in associative algebras
16S90 Torsion theories; radicals on module categories (associative algebraic aspects)
06B05 Structure theory of lattices
06A15 Galois correspondences, closure operators (in relation to ordered sets)
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[1] DOI: 10.1081/AGB-100001523 · Zbl 0990.16008
[2] DOI: 10.1142/S0219498806001624 · Zbl 1100.16025
[3] DOI: 10.1007/978-1-4612-4418-9
[4] Bican L., Rings, Modules and Preradicals (1982)
[5] DOI: 10.1201/9781420011593
[6] Golan J. S., Pitman Surveys in Pure and Applied Mathematics 29, in: Torsion Theories (1986)
[7] Kasch F., Modules and Rings (1982) · Zbl 0523.16001
[8] DOI: 10.1007/978-3-642-66066-5
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.