query: Infinite ring with nonzero characteristic
positive_passages.docid: 21538
positive_passages.text: Can a ring of positive characteristic have infinite number of elements?
negative_passages.docid: 22610
negative_passages.text: Polynomial rings in infinitely indeterminants
negative_passages.docid: 107900
negative_passages.text: A ring which has many distinct left inverses
negative_passages.docid: 114662
negative_passages.text: Construction of a specific non-commutative and infinite group (with conditions on the order of the elements)
negative_passages.docid: 146446
negative_passages.text: Infinite Degree Algebraic Field Extensions
negative_passages.docid: 39049
negative_passages.text: Ring With Unity As a Direct Sum of Non-Zero Ideals
negative_passages.docid: 116955
negative_passages.text: Showing the existence of a certain kind of extension of a finitely generated algebra
negative_passages.docid: 76749
negative_passages.text: Example of a finite non-commutative ring without a unity
negative_passages.docid: 28313
negative_passages.text: Intermediate ring between a field and an algebraic extension.
negative_passages.docid: 139828
negative_passages.text: Finitely Presented Modules and Exact Sequences
negative_passages.docid: 97904
negative_passages.text: Example of infinite field of characteristic $p\neq 0$
negative_passages.docid: 30587
negative_passages.text: Uncountable well ordered set in $Z^-$ theory.
negative_passages.docid: 89313
negative_passages.text: Maximal ideals of polynomial rings in infinitely many variables
negative_passages.docid: 46843
negative_passages.text: A ring without the Invariant Basis Number property
negative_passages.docid: 1141
negative_passages.text: Existence of totally ordered ring with zero divisors
negative_passages.docid: 79957
negative_passages.text: If $R$ is an infinite ring, then $R$ has either infinitely many zero divisors, or no zero divisors
negative_passages.docid: 53469
negative_passages.text: C(0, 1) has infinitely many prime ideals not of the form Mp