query: Quotient between subalgebras and ideals
positive_passages.docid: 24259
positive_passages.text: Quotient ring of $T/I$
negative_passages.docid: 1719
negative_passages.text: Ideals in the ring of Gaussian integers
negative_passages.docid: 82003
negative_passages.text: Bijection between sets of ideals
negative_passages.docid: 27766
negative_passages.text: Comaximal ideals in a commutative ring
negative_passages.docid: 110984
negative_passages.text: Ideals and prime ideals in a commutative ring.
negative_passages.docid: 77862
negative_passages.text: Question about fields and quotients of polynomial rings
negative_passages.docid: 150911
negative_passages.text: Prove that the ring is Artinian and find a composition series of ideals
negative_passages.docid: 36150
negative_passages.text: Ideal in a ring of continuous functions
negative_passages.docid: 98818
negative_passages.text: Quotient ring of a localization of a ring
negative_passages.docid: 28313
negative_passages.text: Intermediate ring between a field and an algebraic extension.
negative_passages.docid: 100961
negative_passages.text: Ideals in valuation rings
negative_passages.docid: 118781
negative_passages.text: product of ideals in matrix ring
negative_passages.docid: 146801
negative_passages.text: Primary decomposition of an ideal
negative_passages.docid: 138672
negative_passages.text: Finding Ideals in $\begin{bmatrix} \mathbb{Q} & \mathbb{Q}\\ 0 & 0 \end{bmatrix}$
negative_passages.docid: 56800
negative_passages.text: Intersection of prime ideals
negative_passages.docid: 30714
negative_passages.text: A question on ring homomorphisms and maximal ideals.
negative_passages.docid: 116883
negative_passages.text: About ideals in a ring which is a $k$ vector space