Determining homomorphisms to skew fields

DOI10.1016/0021-8693(80)90153-2zbMath0442.16015OpenAlexW2074704904MaRDI QIDQ1143474

Peter Malcolmson

Publication date: 1980

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(80)90153-2

zbMATH Keywords

division ringrank functiondependence relationprime matrix idealR-specialization

Mathematics Subject Classification ID

Automorphisms and endomorphisms (16W20) Division rings and semisimple Artin rings (16Kxx)

Related Items (15)

\(L^2\)-Betti numbers arising from the lamplighter group ⋮ Approximating the group algebra of the lamplighter by infinite matrix products ⋮ The base change in the Atiyah and the Lück approximation conjectures ⋮ Universality of free random variables: atoms for non-commutative rational functions ⋮ Malcolmson semigroups ⋮ Sylvester rank functions for amenable normal extensions ⋮ An explicit construction of the universal division ring of fractions of \(E\langle\langle x_1,\ldots, x_d \rangle\rangle\) ⋮ Associative rings ⋮ Constructing division rings as module-theoretic direct limits ⋮ The universality of Hughes-free division rings ⋮ Sylvester matrix rank functions on crossed products ⋮ The strong Atiyah and Lück approximation conjectures for one-relator groups ⋮ Some results relevant to embeddability of rings (especially group algebras) in division rings ⋮ Bivariant and extended Sylvester rank functions ⋮ Stable finiteness of group rings in arbitrary characteristic

Cites Work

• A Prime Matrix Ideal Yields a Skew Field
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