Alphabeta MathHow statement and proof provenance work
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The ideal class group
Definition
Let be a Dedekind domain. Its ideal class group is the quotient of the multiplicative group of nonzero fractional ideals by the subgroup of nonzero principal fractional ideals.
Multiplication of fractional ideals is intended to descend to the quotient; the next lemma proves that it does.
Depends on
Used by
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Sources
- Mircea Mustata, Introduction to Commutative Algebra, §8.5 (standard reference, not scraped)
- J. S. Milne, A Primer of Commutative Algebra, §20 (standard reference, not scraped)