Chunlin Wang: On correspondence between roots of polynomial congruences and degree one ideals, 355-359

Abstract:

It is known from Kummer-Dedekind factorization theorem that roots of a polynomial congruence modulo a prime ideal are one to one correspondence to degree one prime ideals in its extension field. In this note, we give a generalization of this well known fact.

Key Words: Dedekind-Kummer Theorem, degree one ideals, polynomial congruences.

2010 Mathematics Subject Classification: Primary 11R04; Secondary 11R09.

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