On some classes of state-morphism MV-algebras-Reference-Cited by-同舟云学术

On some classes of state-morphism MV-algebras

Published:2009-10-01 Issue:5 Volume:59 Page:517-534
ISSN:1337-2211
Container-title:Mathematica Slovaca
language:en
Short-container-title:

Author:

Nola Antonio¹,Dvurečenskij Anatolij²

Affiliation:

1. Department of Mathematics and Informatics, University of Salerno, Via Ponte don Melillo, I-84084, Fisciano, Salerno, Italy

2. Mathematical Institute, Slovak Academy of Sciences, Štefánikova 49, SK-814 73, Bratislava, Slovakia

Abstract

Abstract Flaminio and Montagna recently introduced state MV-algebras as MV-algebras with an internal notion of a state. The present authors gave a stronger version of state MV-algebras, called state-morphism MV-algebras. We present some classes of state-morphism MV-algebras like local, simple, semisimple state-morphism MV-algebras, and state-morphism MV-algebras with retractive ideals. Finally, we describe state-morphism operators on m-free generated MV-algebras, m < ∞.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

http://link.springer.com/content/pdf/10.2478/s12175-009-0145-0.pdf

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