query: Finding the type of algebraic structure formed by the given types of set
positive_passages.docid: 26572
positive_passages.text: Does the Symmetric difference operator define a group on the powerset of a set?
negative_passages.docid: 104274
negative_passages.text: Express $C$ interms of the sets $A_n$
negative_passages.docid: 82003
negative_passages.text: Bijection between sets of ideals
negative_passages.docid: 135980
negative_passages.text: Geometric interpretation of a complex set
negative_passages.docid: 115502
negative_passages.text: Analogue of the Cantor-Bernstein-Schroeder theorem for general algebraic structures
negative_passages.docid: 86174
negative_passages.text: Finding an isomorphism between these two finite fields
negative_passages.docid: 112371
negative_passages.text: Computing irreducible components of algebraic set
negative_passages.docid: 120535
negative_passages.text: Basis of the polynomial vector space
negative_passages.docid: 145865
negative_passages.text: Showing a set is an affine variety
negative_passages.docid: 4401
negative_passages.text: Constructive proof that algebraic numbers form a field
negative_passages.docid: 153072
negative_passages.text: Guessing a subset of $\{1,...,N\}$
negative_passages.docid: 136389
negative_passages.text: Finding an isomorphic subring of matrices
negative_passages.docid: 120376
negative_passages.text: Schema of separation and set of all sets
negative_passages.docid: 146664
negative_passages.text: The union of two linearly independent subsets
negative_passages.docid: 145722
negative_passages.text: Prove there is a bijection between the set of $R[x]$-module structures on $M$ and $\mathrm{End}_{R-\mathsf{Mod}}(M)$.
negative_passages.docid: 134840
negative_passages.text: Generators and relations for $\text{PSL}(2, \mathbb{F}_q)$
negative_passages.docid: 19310
negative_passages.text: Identify the ring $\mathbb{Z}[x]/(2x)$