| Title | Ergodipotent maps and commutativity of elements in noncommutative rings and algebras with twisted intertwining |
| Authors | Lars Hellstrom, Sergei Silvestrov |
| Alternative Location | http://dx.doi.org/10.1016/j..., Restricted Access |
| Publication | JOURNAL OF ALGEBRA |
| Year | 2007 |
| Volume | 314 |
| Issue | 1 |
| Pages | 17 - 41 |
| Document type | Article |
| Status | Published |
| Quality controlled | Yes |
| Language | eng |
| Publisher | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| Abstract English | A property of algebraic dependence between two commuting elements is shown to hold in a more general setting than that in which it has previously been established. Key conditions are identified and some methods for establishing them are given. Moreover the class of algebras with a generalised Weyl structure, generalising the so-called Generalised Weyl Algebras (GWAs) or hyperbolic rings, is introduced and studied. We also present an interesting class of algebras which are not GWAs but share many of their properties by virtue of their generalised Weyl structure. For these classes of algebras, centralisers and algebraic dependence are investigated. (c) 2007 Elsevier Inc. All rights reserved. |
| Keywords | commuting, generalised Weyl algebras, generalised Weyl structure, algebraic dependence, elements, |
| ISBN/ISSN/Other | ISSN: 0021-8693 |
Questions: webmaster
Last update: 2013-04-11
Centre for Mathematical Sciences, Box 118, SE-22100, Lund. Telefon: +46 46-222 00 00 (vx)