query: What do Ideals tell you?
positive_passages.docid: 54844
positive_passages.text: Intuition behind "ideal"
negative_passages.docid: 81743
negative_passages.text: Prime ideals in $C[0,1]$
negative_passages.docid: 85148
negative_passages.text: How do ideal quotients behave with respect to localization?
negative_passages.docid: 58425
negative_passages.text: Defining the Product of Ideals
negative_passages.docid: 124107
negative_passages.text: Motivation behind the definition of ideal class group
negative_passages.docid: 104377
negative_passages.text: Maximal Ideals in Ring of Continuous Functions
negative_passages.docid: 76661
negative_passages.text: Checking the maximality of a principal ideal in $R[x]$
negative_passages.docid: 87382
negative_passages.text: Non-invertible elements form an ideal
negative_passages.docid: 7854
negative_passages.text: What does the phrase "good for you" mean?
negative_passages.docid: 65536
negative_passages.text: Finitely generated ideals in a Boolean ring are principal, why?
negative_passages.docid: 138672
negative_passages.text: Finding Ideals in $\begin{bmatrix} \mathbb{Q} & \mathbb{Q}\\ 0 & 0 \end{bmatrix}$
negative_passages.docid: 36150
negative_passages.text: Ideal in a ring of continuous functions
negative_passages.docid: 99715
negative_passages.text: Proper ideal and units proof
negative_passages.docid: 6307
negative_passages.text: maximal ideal not containing some expression
negative_passages.docid: 52966
negative_passages.text: Rings, ideals and units-proof
negative_passages.docid: 27167
negative_passages.text: Ideals in $F[x]$ and Euclidean domains are generated by any element of minimal degree
negative_passages.docid: 76314
negative_passages.text: Idealizer of one-sided ideal