Amb motiu del tancament d'estiu, la validació de documents es reprendrà a partir del 28 d'agost de 2026. Disculpeu les molèsties.
Con motivo del cierre de verano, la validación de documentos se reanudará a partir del 28 de agosto de 2026. Disculpad las molestias
Due to the summer closure, document validation will resume starting August 28, 2026. We apologize for any inconvenience.

Files

MPS_N018.pdf (963.71 KB)

Document type

Article

Version

Submitted version

Publication date

1983

All rights reserved

Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/151423

Wajsberg algebras

Journal Title

Authors

Director/Tutor

Journal ISSN

Volume Title

Related resource

Abstract

We present the basic theory of the most natural algebraic counterpart of the No-valued bukasiewicz calculus, strictly logically formulated. After showing its lattice structure and its relation to C.C. Chang's MV-algebras we study the implicative filters and prove its equivalence to congruence relations. We present some properties of the variety of all Wajsberg algebras, among which there is a representation theorem. Finally we give several characterizations of linear, simple and semisimple algebras.

Description

Preprint enviat per a la seva publicació en una revista científica: Stochastica,1984, volume 8, num. 1, pp. 5-31

Subject

Varietats abelianes

Subject (English)

Universitat de Barcelona. Institut de Matemàtica

Citation

Collections

Preprints de Matemàtiques - Mathematics Preprint Series

Citation

FONT, Josep M., RODRÍGUEZ, Antonio J. (Jesús) and TORRENS TORRELL, Antoni. Wajsberg algebras. [consulted: 18 of August of 2026]. Available at: https://hdl.handle.net/2445/151423

Export metadata

JSON - METS

Share record