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Primary Decomposition
The standard primary decomposition theorem in algebra is about being able to write an ideal uniquely as an intersection of primary ideals. In linear algebra the theorem is about how a vector space can ...
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2
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Non-unique factorization in $\mathbb{Z}[\sqrt{-5}]$
I want to show that the decomposition into irreducible factors in the ring
$$\mathbb{Z}[\sqrt{-5}] = \{a + b\sqrt{-5}|\space a, b \in \mathbb{Z}\}$$
is not unique, except for the order of factors ...
- 3,057