# Wajsberg algebras.

Josep M. Font; Antonio J. Rodríguez; Antoni Torrens

Stochastica (1984)

- Volume: 8, Issue: 1, page 5-31
- ISSN: 0210-7821

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topFont, Josep M., Rodríguez, Antonio J., and Torrens, Antoni. "Wajsberg algebras.." Stochastica 8.1 (1984): 5-31. <http://eudml.org/doc/38902>.

@article{Font1984,

abstract = {We present the basic theory of the most natural algebraic counterpart of the ℵ0-valued Lukasiewicz 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 some characterizations of linear, simple and semisimple algebras.},

author = {Font, Josep M., Rodríguez, Antonio J., Torrens, Antoni},

journal = {Stochastica},

keywords = {Algebras de Wajsberg; MV-algebras; implicative filters; congruence relations; representation theorem},

language = {eng},

number = {1},

pages = {5-31},

title = {Wajsberg algebras.},

url = {http://eudml.org/doc/38902},

volume = {8},

year = {1984},

}

TY - JOUR

AU - Font, Josep M.

AU - Rodríguez, Antonio J.

AU - Torrens, Antoni

TI - Wajsberg algebras.

JO - Stochastica

PY - 1984

VL - 8

IS - 1

SP - 5

EP - 31

AB - We present the basic theory of the most natural algebraic counterpart of the ℵ0-valued Lukasiewicz 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 some characterizations of linear, simple and semisimple algebras.

LA - eng

KW - Algebras de Wajsberg; MV-algebras; implicative filters; congruence relations; representation theorem

UR - http://eudml.org/doc/38902

ER -

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