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References to 'prime element'
1. $m$-system by CWoo
2. a characterization of the radical of an ideal by CWoo
3. characterization of prime ideals by GrafZahl
4. determining the continuations of exponent by pahio
5. divisor theory by pahio
6. divisor theory and exponent valuations by pahio
7. equivalent definitions for UFD by joking
8. every PID is a UFD - alternative proof by joking
9. examples of radicals of ideals in commutative rings by joking
10. examples of semiprimitive rings by yark
11. factoring all-one polynomials using the grouping method by rspuzio
12. finite fields of sets by rspuzio
13. fundamental theorem of arithmetic, proof of the by mps
14. gcd domain by CWoo
15. ideal included in union of prime ideals by polarbear
16. ideals with maximal radicals are primary by joking
17. irreducible of a UFD is prime by pahio
18. motivation for Euclidean domains by Wkbj79
19. multiplicative sets in rings and prime ideals by joking
20. multiplicatively closed by CWoo
21. noetherian ring by archibal
22. order (of a ring) by Wkbj79
23. PID by mps
24. PID and UFD are equivalent in a Dedekind domain by rm50
25. primal element by CWoo
26. primary decomposition theorem by CWoo
27. primary ideal by mathcam
28. prime by djao
29. prime element is irreducible in integral domain by me_and
30. prime ideal by djao
31. ring of $S$-integers by alozano
32. ring of exponent by pahio
33. Schreier domain by CWoo
34. theorems on continuation by pahio
35. UFD by drini
36. UFD's are integrally closed by rm50
37. Witt vectors by alozano