Title of article
On n-perfect GMV-algebras
Author/Authors
Anatolij Dvure?enskij، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2008
Pages
26
From page
4921
To page
4946
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 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.
Keywords
Unital ?-group , GMV-algebra , Representation , n-perfect GMV-algebra , Strong n-perfect GMV-algebra , Categorical equivalence , variety , Top variety , state , Perfect GMV-algebra
Journal title
Journal of Algebra
Serial Year
2008
Journal title
Journal of Algebra
Record number
698645
Link To Document