query: Easy explanation on primary decomposition of ideals.
positive_passages.docid: 102341
positive_passages.text: Primary decomposition of a monomial ideal
negative_passages.docid: 39049
negative_passages.text: Ring With Unity As a Direct Sum of Non-Zero Ideals
negative_passages.docid: 60391
negative_passages.text: Ideal Generated by Three Elements in Polynomial Ring
negative_passages.docid: 35222
negative_passages.text: Characterizing units in polynomial rings
negative_passages.docid: 81743
negative_passages.text: Prime ideals in $C[0,1]$
negative_passages.docid: 111493
negative_passages.text: Division algorithm for polynomials in R[x], where R is a commutative ring with unity.
negative_passages.docid: 37929
negative_passages.text: Classification of prime ideals of $\mathbb{Z}[X]$
negative_passages.docid: 58425
negative_passages.text: Defining the Product of Ideals
negative_passages.docid: 34807
negative_passages.text: Localization at finitely many minimal prime ideals
negative_passages.docid: 65536
negative_passages.text: Finitely generated ideals in a Boolean ring are principal, why?
negative_passages.docid: 90314
negative_passages.text: Maximal ideals in $R[x]$
negative_passages.docid: 74796
negative_passages.text: Extension of intersection of ideals
negative_passages.docid: 63447
negative_passages.text: Prove that the kernel of a homomorphism is a principal ideal. (Artin, Exercise 9.13)
negative_passages.docid: 111189
negative_passages.text: Intersection of all maximal ideals containing a given ideal
negative_passages.docid: 72350
negative_passages.text: Constructing Idempotent Generator of Idempotent Ideal
negative_passages.docid: 99715
negative_passages.text: Proper ideal and units proof
negative_passages.docid: 104789
negative_passages.text: How to tell an ideal of integer polynomial ring is principal?