Homological properties of generic matrix rings |
| |
Authors: | L W Small J T Stafford |
| |
Institution: | (1) Department of Mathematics, University of California at San Diego, 92093 La Jolla, CA, USA;(2) Department of Mathematics, University of Leeds, Leeds, UK |
| |
Abstract: | It is shown that the ring of two 2×2 generic matrices over a field has infinite global dimension. It is also proved that there
is a non-free projective module over that ring. Finally, the authors show that the trace ring of that generic matrix ring
is an iterated Ore extension from which it follows that the trace ring has global dimension five and that the finitely-generated
projective modules are stably free. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|