query: Associate elements in non-integral domains.
positive_passages.docid: 16023
positive_passages.text: Are associates unit multiples in a commutative ring with $1$?
negative_passages.docid: 114329
negative_passages.text: Example of subring that is not an ideal
negative_passages.docid: 77171
negative_passages.text: How to find unique multisets of n naturals of a given domain and their numbers?
negative_passages.docid: 141410
negative_passages.text: Injective integral domains are fields
negative_passages.docid: 67490
negative_passages.text: Restricing domains for universal and existential quantifiers
negative_passages.docid: 54685
negative_passages.text: Defining metrics as a function to something other than the reals.
negative_passages.docid: 10908
negative_passages.text: Associated elements in a ring
negative_passages.docid: 96576
negative_passages.text: “text-decoration” and the “:after” pseudo-element, revisited
negative_passages.docid: 9074
negative_passages.text: Example of non-isomorphic structures which are elementarily equivalent
negative_passages.docid: 5840
negative_passages.text: divides, not divides and cardinalities
negative_passages.docid: 152196
negative_passages.text: About inner products, norms and metrics
negative_passages.docid: 6646
negative_passages.text: A (non-artificial) example of a ring without maximal ideals
negative_passages.docid: 83187
negative_passages.text: Elegant alternatives to the weird multiple inheritance
negative_passages.docid: 93015
negative_passages.text: A -> B, B -> A classes association
negative_passages.docid: 31902
negative_passages.text: Domain, Codomain, Range, Image and Preimage
negative_passages.docid: 120345
negative_passages.text: Topology induced by seminorms and initial topology
negative_passages.docid: 132158
negative_passages.text: Commas separating adjectives to describe mathematical objects.