## 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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### References:

 [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
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