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


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)
Full Text: DOI


[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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