The Ascending and Descending Varietal Chains of a Variety
- 1 February 1975
- journal article
- Published by Canadian Mathematical Society in Canadian Journal of Mathematics
- Vol. 27 (1) , 25-31
- https://doi.org/10.4153/cjm-1975-004-2
Abstract
Let F be a variety (equational class) of algebras. For n ≧ 0, Vn is the variety generated by the F-free algebra on n free generators while Vn is the variety of all algebras satisfying each identity of V which has no more than n variables. (Equivalently, Vn is the class of all algebras, , such that every n-generated subalgebra of is in V.) Note that unless nullary operation symbols are specified by the similarity type of V, V0 is the variety of all one element algebras while V° is the variety of all algebras.Keywords
This publication has 1 reference indexed in Scilit:
- Varieties of GroupsPublished by Springer Nature ,1967