query: Bourbaki's construction of the monoid of fractions of a commutative monoid $E$ and the concept of "identification"
positive_passages.docid: 21610
positive_passages.text: The monoid of fractions associated with the submonoid of cancellable elements of a commutative monoid E
negative_passages.docid: 81895
negative_passages.text: A generalisation of the fundamental theorem of algebra
negative_passages.docid: 115606
negative_passages.text: Proofs involving $ (A\setminus B) \cup (A \cap B)$
negative_passages.docid: 116955
negative_passages.text: Showing the existence of a certain kind of extension of a finitely generated algebra
negative_passages.docid: 108742
negative_passages.text: Proving commutativity of addition for vector spaces
negative_passages.docid: 125174
negative_passages.text: Combinatorial intuition of identity
negative_passages.docid: 114522
negative_passages.text: Prove that identity is unique in a group
negative_passages.docid: 134840
negative_passages.text: Generators and relations for $\text{PSL}(2, \mathbb{F}_q)$
negative_passages.docid: 108550
negative_passages.text: Elements of $\mathbb Q(2^{1/3})$
negative_passages.docid: 74278
negative_passages.text: give a counterexample of monoid
negative_passages.docid: 137921
negative_passages.text: Reflexivity, Transitivity, Symmertry of the square of an relation
negative_passages.docid: 114431
negative_passages.text: Monoids and Subgroups
negative_passages.docid: 87451
negative_passages.text: Construction of matrices under ZFC axioms
negative_passages.docid: 109649
negative_passages.text: idempotents acting as local identities
negative_passages.docid: 33822
negative_passages.text: Is there a monoid structure on the set of paths of a graph?
negative_passages.docid: 121765
negative_passages.text: Semigroups and solutions of equation
negative_passages.docid: 83115
negative_passages.text: A set of elements in a reduced unity ring