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References to 'direct sum'
1. completely reducible by Mathprof
2. concepts in linear algebra by matte
3. counterexamples for products and coproduct by Algeboy
4. direct product of modules by Mathprof
5. direct products of groups by yark
6. example of free module with bases of diffrent cardinality by joking
7. example of injective module by Glotzfrosch
8. finitely generated torsion-free modules over Pr\"ufer domains by gel
9. free module by Mathprof
10. free module by mathcam
11. hereditary ring by CWoo
12. internal direct sum of ideals by Mathprof
13. Krull-Schmidt theorem by smw
14. module of finite rank by antizeus
15. orthogonality relations by mhale
16. product of injective modules is injective by joking
17. proof of finitely generated torsion-free modules over Pr\"ufer domains by gel
18. properties of semisimple modules by joking
19. split short exact sequence by antizeus
20. standard basis by Mathprof
21. subdirect product of rings by CWoo
22. uniform dimension by mclase
23. unitization by rspuzio