Robert walker assocaited primes
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Robert walker assocaited primes
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Most of these properties and assertions are given in (Lam 1999) starting on page 86. • If M' ⊆M, then If in addition M' is an essential submodule of M, their associated primes coincide. • It is possible, even for a commutative local ring, that the set of associated primes of a finitely generated module is empty. However, in any ring satisfying the ascending chain condition on ideals (for example, any right or left Noetherian ring) every nonzero module has at least one associate…
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