Vector lattices and rooted trees |
| |
Authors: | M F Hobart J D H Smith |
| |
Institution: | (1) Department of Mathematics, Iowa State University, 50011 Ames, IA, USA |
| |
Abstract: | There is a 1-1-correspondence between isomorphism classes of finite dimensional vector lattices and finite rooted unlabelled trees. Thus the problem of counting isomorphism classes of finite dimensional vector lattices reduces to the well-known combinatorial problem of counting these trees. The correspondence is used to identify the class of congruence lattices of finite-dimensional vector lattices as the class of finite dual relative Stone algebras, in partial answer to a question posed by Birkhoff.Dedicated to the memory of Alan DayPresented by J. Sichler. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|