query: A question in Abstract Algebra about cosets
positive_passages.docid: 157412
positive_passages.text: Left cosets and right cosets
negative_passages.docid: 13761
negative_passages.text: Automorphisms in $\mathbb{Z}_n$
negative_passages.docid: 120495
negative_passages.text: Does this correctly interpret the "$\cong$" between groups as "$=$" between sets?
negative_passages.docid: 133762
negative_passages.text: A set which satisfies all conditions for a Group except associativity
negative_passages.docid: 120911
negative_passages.text: Clarification on proof: Order of left cosets equal
negative_passages.docid: 123419
negative_passages.text: Abstract algebra: homomorphism and an element of a prime order
negative_passages.docid: 17510
negative_passages.text: Proving a set is an abelian group.
negative_passages.docid: 38946
negative_passages.text: Show that $\{\cup_{n\in K} (n, n+1]: K \subset \mathbb{Z}\}$ is a $\sigma$-algebra on $\mathbb{R}$
negative_passages.docid: 39965
negative_passages.text: Partition of $\mathbb{Z}_8$ into cosets of Ker(θ)
negative_passages.docid: 117479
negative_passages.text: Mutual set of representatives for left and right cosets: what about infinite groups?
negative_passages.docid: 100974
negative_passages.text: Showing H is a normal subgroup by calculating left and right coset
negative_passages.docid: 124864
negative_passages.text: A not free $\mathbb{Z}$-module
negative_passages.docid: 137563
negative_passages.text: Can a left coset be strictly contained in a right coset?
negative_passages.docid: 110167
negative_passages.text: A conjecture with connection to the $abc$-conjecture
negative_passages.docid: 89234
negative_passages.text: Any Set with Associativity, Left Identity, Left Inverse is a Group
negative_passages.docid: 107383
negative_passages.text: Derived sets - prove $(A \cup B)' = A' \cup B'$
negative_passages.docid: 67796
negative_passages.text: How to prove that the algebra $k[x, xy, xy^2, xy^3, \dotsc]$ is not finitely generated?