State morphism MV-algebras
Commutative Algebra
2011-02-08 v1
Abstract
We present a complete characterization of subdirectly irreducible MV-algebras with internal states (SMV-algebras). This allows us to classify subdirectly irreducible state morphism MV-algebras (SMMV-algebras) and describe single generators of the variety of SMMV-algebras, and show that we have a continuum of varieties of SMMV-algebras.
Cite
@article{arxiv.1102.1088,
title = {State morphism MV-algebras},
author = {A. Dvurecenskij and T. Kowalski and F. Montagna},
journal= {arXiv preprint arXiv:1102.1088},
year = {2011}
}