Groups and noncommutative algebra: interactions and applications
Investigating protein factors linking chromosome segregation and cell division in ...
Structural studies of the Bacillus stearothermophilus's ZapA protein
| Full text | |
| Author(s): |
Fehlberg, Jr., R.
Total Authors: 1
|
| Document type: | Journal article |
| Source: | COMMUNICATIONS IN ALGEBRA; v. 44, n. 6, p. 2501-2512, 2016. |
| Web of Science Citations: | 1 |
| Abstract | |
Makar-Limanov's conjecture states that, if a division ring D is finitely generated and infinite dimensional over its center k, then D contains a free k-subalgebra of rank 2. In this work, we will investigate the existence of such structures in D, the division ring of fractions of the skew polynomial ring L{[}t; sigma], where t is a variable and sigma is a k-automorphism of L. For instance, we prove Makar-Limanov's conjecture when either L is the function field of an abelian variety or the function field of the n-dimensional projective space. (AU) | |