query: I understand what a division ring is, but cannot find any examples. Can anyone give me one?
positive_passages.docid: 11541
positive_passages.text: Examples of a non-commutative division ring
negative_passages.docid: 37948
negative_passages.text: help me to find a volume of the ring shaped solid
negative_passages.docid: 119067
negative_passages.text: Basic Ring Theory Question involving the unit element
negative_passages.docid: 3437
negative_passages.text: Basic division and multiplication
negative_passages.docid: 83100
negative_passages.text: Prove that the center of a ring is a subring.
negative_passages.docid: 146276
negative_passages.text: Is there a ring such that the nilradical of it is not nilpotent?
negative_passages.docid: 97751
negative_passages.text: Center of a group ring?
negative_passages.docid: 84751
negative_passages.text: How can it be possible to localize a ring at a set with zero divisors?
negative_passages.docid: 26764
negative_passages.text: Proving that $\mathbb R^3$ cannot be made into a real division algebra (and that extending complex multiplication would not work)
negative_passages.docid: 106313
negative_passages.text: How Does Modulus Divison Work
negative_passages.docid: 141100
negative_passages.text: Nontrivial subring with unity different from the whole ring?
negative_passages.docid: 133738
negative_passages.text: Can a ring without a unit element have a subring with a unit element?
negative_passages.docid: 1425
negative_passages.text: The Chinese Remainder Theorem for Rings.
negative_passages.docid: 1141
negative_passages.text: Existence of totally ordered ring with zero divisors
negative_passages.docid: 102072
negative_passages.text: Simple $M_n(D)$-module with $D$ a division ring
negative_passages.docid: 108412
negative_passages.text: How can I create a Mobius ring?
negative_passages.docid: 132317
negative_passages.text: linear algebra over a division ring vs. over a field