 

Joshua B. Palmatier
Extending Chang's construction to the category of mzeroids and some category containing the category of Abelian ℓgroups with strong unit view print


Published: 
January 24, 2014 
Keywords: 
MValgebras, abelian ℓgroups, dual abelian ℓgroups, abelian ℓmonoids, dual abelian ℓmonoids, mzeroid, IMTLalgebras, abelian ℓgroups with strong unit 
Subject: 
Primary: 06F99; Secondary: 03G20 


Abstract
In this note we prove that it is impossible to extend the natural equivalence between the category of MValgebras and the category of Abelian ℓgroups with strong unit described by C. C. Chang,
1958, and Cignoli & Mundici, 1997, to a natural equivalence between the category of mzeroids and some category containing the category of Abelian ℓgroups with strong unit.


Author information
Department of Mathematics, Computer Science, and Statistics, SUNY College at Oneonta, Oneonta, New York 13820
palmatjb@oneonta.edu

