One statement of this theorem relates a quotient ring of a ring R over the intersection of its ideals to the product ring formed by multiplying the quotient rings of R over individual ideals. This theorem may be used for constructing G?del numbering for sequences, allowing the proof of G?del's incompleteness theorem, and it is central to solving problems of secret sharing by finding minimal combinations of shares to recover the whole. A more wide
One statement of this theorem relates a quotient ring of a ring R over the intersection of its ideals to the product ring formed by multiplying the quotient rings of R over individual ideals. This theorem may be used for constructing G?del numbering for sequences, allowing the proof of G?del's incompleteness theorem, and it is central to solving problems of secret sharing by finding minimal combinations of shares to recover the whole. A more widely known application is representation of the private key in RSA. For 10 points, name this theorem which states that for two relatively prime integers r and s, there is an integer N such that N is congruent to a mod r and N is congruent to b mod s, where a and b are integers, named for the country in which it was formulated by Sun Zi.
One statement of this theorem relates a quotient ring of a ring R over the intersection of its ideals to the product ring formed by multiplying the quotient rings of R over individual ideals.
Chinese remainder theorem