| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4587635 | Journal of Algebra | 2008 | 26 Pages |
Abstract
We introduce the class of n-perfect GMV-algebras. Such algebras can be split into n+1 comparable slices. We present an equational base for the variety generated by n-perfect GMV-algebras.We define the category of strong n-perfect GMV-algebras and we show that every strong n-perfect GMV-algebra is always an interval in a lexicographical product of Z with an ℓ-group. We prove that the variety generated by strong n-perfect GMV-algebras is generated by a one strong n-perfect GMV-algebra.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
