query: Maximal ideal/ Prime ideal
positive_passages.docid: 151829
positive_passages.text: Why are maximal ideals prime?
negative_passages.docid: 93929
negative_passages.text: The height of a principal prime ideal
negative_passages.docid: 149136
negative_passages.text: On the height of an ideal
negative_passages.docid: 76661
negative_passages.text: Checking the maximality of a principal ideal in $R[x]$
negative_passages.docid: 92585
negative_passages.text: If krull dimension is $0$, then all prime ideals are maximal?
negative_passages.docid: 80232
negative_passages.text: Suppose that R is a commutative ring with unity such that for each $a$ in $R$ there is an integer $n > 1\mid a^n =a$. Every prime ideal is maximal?
negative_passages.docid: 17247
negative_passages.text: Localisation and prime ideals
negative_passages.docid: 90889
negative_passages.text: Prime ideals in a finite direct product of rings
negative_passages.docid: 67203
negative_passages.text: Complement of maximal multiplicative set is a prime ideal
negative_passages.docid: 52602
negative_passages.text: $K[X^2,X^3]\subset K[X]$ is a Noetherian domain and all its prime ideals are maximal
negative_passages.docid: 28244
negative_passages.text: Is the ideal $I = \{f\mid f (0) = 0\}$ in the ring $C [0, 1]$ of all continuous real valued functions on $[0, 1]$ a maximal ideal?
negative_passages.docid: 107463
negative_passages.text: Is an ideal which is maximal with respect to the property that it consists of zero divisors necessarily prime?
negative_passages.docid: 81743
negative_passages.text: Prime ideals in $C[0,1]$
negative_passages.docid: 112045
negative_passages.text: A property of minimal prime ideal
negative_passages.docid: 138130
negative_passages.text: If $I$ is a maximal ideal of $R$, why is $R/I$ a field?
negative_passages.docid: 97740
negative_passages.text: Homogeneous ideals are contained in homogeneous prime ideals
negative_passages.docid: 27916
negative_passages.text: Are the determinantal ideals prime?