A comparison of length definitions for maps of modules over local rings |
| |
Authors: | Stanley-Albarda Catherine |
| |
Institution: | (1) Department of Mathematics, University of Toronto, M5S 1A1 Toronto, Ontario, Canada |
| |
Abstract: | LetM be a finitely generated free module over a local ring. An automorphism ofM can be written as a product of automorphisms that are elements of a given generating groupG of the set of all automorphisms ofM. The minimal number of elements required for such a product is called the length of . We study two decompositions using similar generating groups and compare the two resulting lengths. |
| |
Keywords: | primary 15 A 23 secondary 20 H 15 |
本文献已被 SpringerLink 等数据库收录! |