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References to 'PID'
1. abelian group is divisible if and only if it is an injective object by joking
2. algebraic number theory by alozano
3. Berlekamp-Massey algorithm by mathcam
4. Bezout domain by CWoo
5. biquadratic field by Wkbj79
6. Dedekind domains with finitely many primes are PIDs by gel
7. Dedekind-Hasse valuation by Henry
8. discrete valuation ring by djao
9. divisibility by product by pahio
10. entries on finitely generated ideals by pahio
11. equivalent characterizations of Dedekind domains by gel
12. Euclid's lemma by KimJ
13. Euclidean domain by yark
14. every PID is a UFD by rm50
15. every PID is a UFD - alternative proof by joking
16. example of a Bezout domain that is not a PID by Wkbj79
17. example of PID by sleske
18. example of ring which is not a UFD by alozano
19. examples of radicals of ideals in commutative rings by joking
20. existence of the minimal polynomial by alozano
21. finitely generated modules over a principal ideal domain by yark
22. free modules over a ring which is not a PID by joking
23. gcd domain by CWoo
24. invertible ideals in semi-local rings by gel
25. list of all imaginary quadratic extensions whose ring of integers is a PID by rm50
26. motivation for Euclidean domains by Wkbj79
27. number field that is not norm-Euclidean by pahio
28. PID and UFD are equivalent in a Dedekind domain by rm50
29. polynomial ring over a field by pahio
30. polynomial ring which is PID by pahio
31. principal ideal ring by Wkbj79
32. proof of theorem about cyclic subspaces by FunctorSalad
33. proof that a Noetherian domain is Dedekind if it is locally a PID by gel
34. quadratic imaginary norm-Euclidean number fields by pahio
35. ramification index by djao
36. ring hierarchy by Algeboy
37. separability is required for integral closures to be finitely generated by rm50
38. Smith normal form by Mathprof
39. topics on ideal class groups and discriminants by alozano
40. topics on polynomials by matte
41. UFD by drini
42. unique factorization and ideals in ring of integers by pahio
43. valuation domain by mathcam