Abstract
It is well-known that every integer is a product of prime numbers, for instance 10 = 2.5. This equation can also be written as an equality of ideals, 〈10〉 =〈2〉 ∩ 〈5〉 in the ring ℤ. The aim of this section is to generalize this fact to ideals in arbitrary Noetherian rings.
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© 2002 Springer-Verlag Berlin Heidelberg
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Greuel, GM., Pfister, G. (2002). Primary Decomposition and Related Topics. In: A Singular Introduction to Commutative Algebra. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-04963-1_4
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DOI: https://doi.org/10.1007/978-3-662-04963-1_4
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-42897-8
Online ISBN: 978-3-662-04963-1
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