Graded left modular lattices are supersolvable |
| |
| Authors: | Hugh Thomas |
| |
| Institution: | (1) Fields Institute, 222 College Street, Toronto, ON, M5T 3J1, Canada;(2) Present address: Department of Mathematics and Statistics, University of New Brunswick, Fredericton, NB, E3B 5A3, Canada |
| |
| Abstract: | We provide a direct proof that a finite graded lattice with a maximal chain of left modular elements is supersolvable. This result was first established via a detour through EL-labellings in MT] by combining results of McNamara Mc] and Liu Li]. As part of our proof, we show that the maximum graded quotient of the free product of a chain and a single-element lattice is finite and distributive.Received May 24, 2004; accepted in final form October 12, 2004. |
| |
| Keywords: | 06D99 06B25 |
| 本文献已被 SpringerLink 等数据库收录！ |
|
