query: Non-associative commutative binary operation
positive_passages.docid: 18817
positive_passages.text: Does commutativity imply Associativity?
negative_passages.docid: 18308
negative_passages.text: Coset multiplication giving a well defined binary operation
negative_passages.docid: 115100
negative_passages.text: Operator Ordering Ambiguities
negative_passages.docid: 75017
negative_passages.text: Definition of General Associativity for binary operations
negative_passages.docid: 46036
negative_passages.text: Logic for decomposing a permutation into different products composed of transpositions
negative_passages.docid: 46843
negative_passages.text: A ring without the Invariant Basis Number property
negative_passages.docid: 65379
negative_passages.text: Deriving $\neg R$ from $\{R↔(R∨(P∧¬P)), R↔¬P, ¬P→(P↔(Q→Q)), P→Q\}$
negative_passages.docid: 56370
negative_passages.text: Associative operation on a set $S$
negative_passages.docid: 44361
negative_passages.text: An automorphism that has no fixed points except for the identity and is its own inverse implies commutativity
negative_passages.docid: 27899
negative_passages.text: Can we prove the existence of $A\cup B$ without the union axiom?
negative_passages.docid: 44689
negative_passages.text: Explicit bijection between $[0,1)$ and $(0,1)$
negative_passages.docid: 128966
negative_passages.text: Explicit bijection between $\Bbb R$ and permutations of $\Bbb N$
negative_passages.docid: 45523
negative_passages.text: Can the product of two non invertible elements in a ring be invertible?
negative_passages.docid: 19675
negative_passages.text: Commutator not transitive
negative_passages.docid: 148493
negative_passages.text: Are all n-ary operators simply compositions of binary operators?
negative_passages.docid: 81509
negative_passages.text: The cardinality of a countable union of countable sets, without the axiom of choice
negative_passages.docid: 32340
negative_passages.text: Continuous bijections and their inverses