Primary Decomposition and Related Topics

Gert-Martin Greuel () and Gerhard Pfister ()
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Gert-Martin Greuel: University of Kaiserslautern, Department of Mathematics
Gerhard Pfister: University of Kaiserslautern, Department of Mathematics

Chapter 4 in A Singular Introduction to Commutative Algebra, 2002, pp 239-274 from Springer

Abstract: 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.

Date: 2002
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DOI: 10.1007/978-3-662-04963-1_4

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