Modules With Unique Closure Relative to a Torsion Theory II
Closed submodule, UC-module, hereditary torsion theory.
Modules With Unique Closure Relative to a Torsion Theory II
Closed submodule, UC-module, hereditary torsion theory.,
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- Moreover, in this case N+is the unique τ -closure of N in M , for every submodule N of M . Proof. For the equivalence of (1) - (12) see Lemmas 2.3, 2.4 and 2.6 and Corollary 2.5. Now suppose that M is a τ -U C -module. Let N be any submodule of M . Then N+is the unique τ -closure of N in M by the proof of Lemma 2.6.
- ISSN: 1300-0098
- Yayın Aralığı: 6
- Yayıncı: TÜBİTAK
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Modules With Unique Closure Relative to a Torsion Theory II