Schofield, A. H.,
Representations of Rings over Skew Fields / A. H. Schofield. - Cambridge : Cambridge University Press, 1985. - 1 online resource (236 pages) : digital, PDF file(s). - London Mathematical Society Lecture Note Series ; no. 92 . - London Mathematical Society Lecture Note Series ; no. 92. .
Title from publisher's bibliographic system (viewed on 16 Oct 2015).
The first half of the book is a general study of homomorphisms to simple artinian rings; the techniques developed here should be of interest to many algebraists. The second half is a more detailed study of special types of skew fields which have arisen from the work of P. M. Cohn and the author. A number of questions are settled; a version of the Jacobian conjecture for free algebras is proved and there are examples of skew field extensions of different but finite left and right dimension.
9780511661914 (ebook)
Commutative rings
Representations of rings (Algebra)
Skew fields
QA251.3 / .S34 1985
512/.4
Representations of Rings over Skew Fields / A. H. Schofield. - Cambridge : Cambridge University Press, 1985. - 1 online resource (236 pages) : digital, PDF file(s). - London Mathematical Society Lecture Note Series ; no. 92 . - London Mathematical Society Lecture Note Series ; no. 92. .
Title from publisher's bibliographic system (viewed on 16 Oct 2015).
The first half of the book is a general study of homomorphisms to simple artinian rings; the techniques developed here should be of interest to many algebraists. The second half is a more detailed study of special types of skew fields which have arisen from the work of P. M. Cohn and the author. A number of questions are settled; a version of the Jacobian conjecture for free algebras is proved and there are examples of skew field extensions of different but finite left and right dimension.
9780511661914 (ebook)
Commutative rings
Representations of rings (Algebra)
Skew fields
QA251.3 / .S34 1985
512/.4