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x≡a (mod m) and x≡a(mod n) implies x≡a (mod mn)

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#elementary-number-theory #modular-arithmetic #chinese-remainder-theorem
40
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Can a CRT be made for an arbitrary collection of ideals?

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#elementary-number-theory #ring-theory #ideals #chinese-remainder-theorem
103
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Discrete Math Chinese Remainder theorem simple problem with division involved

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#discrete-mathematics #chinese-remainder-theorem
39
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Chinese Remainder Thoerem - Is it possible to solve a system of congruences that are not coprime?

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#number-theory #elementary-number-theory #chinese-remainder-theorem
1k
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Chinese Remainder Theorem whose modulus are not coprime

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#number-theory #elementary-number-theory #chinese-remainder-theorem
1.2k
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How many elements of order 9 does $Z_3 \times Z_{15} \times Z_{45}$ have?

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#group-theory #finite-groups #chinese-remainder-theorem
125
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Representation of groups via isomophism and the Chinese remainder theorem

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#group-theory #chinese-remainder-theorem
458
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How to apply the Chinese remainder theorem to $x^{3}+2x+1 \equiv 0 \bmod 15$?

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#abstract-algebra #elementary-number-theory #chinese-remainder-theorem
512
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British Maths Olympiad (BMO) 2003 Round 1 Question 5 does a solution with fermat's theorem or crt exist?

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#algebra-precalculus #elementary-number-theory #contest-math #chinese-remainder-theorem
431
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Chinese remainder theorem for rings applied to Z/nZ

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#abstract-algebra #ring-theory #chinese-remainder-theorem
895
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Show that if a is a QR mod p and q then a is a QR mod pq

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#number-theory #elementary-number-theory #chinese-remainder-theorem #quadratic-residues
78
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Direct sum isomorphism question

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#group-theory #finite-groups #chinese-remainder-theorem #direct-sum
365
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Chinese Remainder Theorem, Miller-Rabin Primality test, and more...

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#number-theory #modular-arithmetic #chinese-remainder-theorem #primality-test #congruence-relations
70
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Modular arithmetic problem from Chinese remainder Theorem

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#number-theory #elementary-number-theory #prime-numbers #modular-arithmetic #chinese-remainder-theorem
138
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Consider this system of congruence equations.

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#abstract-algebra #chinese-remainder-theorem

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