query: A question about rings
positive_passages.docid: 107378
positive_passages.text: If a ring element is right-invertible, but not left-invertible, then it has infinitely many right-inverses.
negative_passages.docid: 146276
negative_passages.text: Is there a ring such that the nilradical of it is not nilpotent?
negative_passages.docid: 133738
negative_passages.text: Can a ring without a unit element have a subring with a unit element?
negative_passages.docid: 131319
negative_passages.text: I understand what a division ring is, but cannot find any examples. Can anyone give me one?
negative_passages.docid: 111104
negative_passages.text: Ring theory notation question
negative_passages.docid: 106894
negative_passages.text: If a subring of a ring R has identity, does R also have the identity?
negative_passages.docid: 21538
negative_passages.text: Can a ring of positive characteristic have infinite number of elements?
negative_passages.docid: 67260
negative_passages.text: What happens if we change the definition of quotient ring to the one that does not have ideal restriction?
negative_passages.docid: 63192
negative_passages.text: A chain ring with Krull dimension greater than one
negative_passages.docid: 46843
negative_passages.text: A ring without the Invariant Basis Number property
negative_passages.docid: 28327
negative_passages.text: (Simple) Examples on Non-Commutative Rings
negative_passages.docid: 73689
negative_passages.text: A question about the equivalence relation on the localization of a ring.
negative_passages.docid: 39369
negative_passages.text: Why are there rings for Dwarves and Elves and Men, but not Hobbits or Orcs?
negative_passages.docid: 5594
negative_passages.text: Question about the Euclidean ring definition
negative_passages.docid: 91294
negative_passages.text: order of quotient ring
negative_passages.docid: 79641
negative_passages.text: Why are rings called rings?
negative_passages.docid: 78350
negative_passages.text: When does a finite ring become a finite field?