Functional monadic n -valued Łukasiewicz algebras

A. V. Figallo; Claudia A. Sanza; Alicia Ziliani

Mathematica Bohemica (2005)

  • Volume: 130, Issue: 4, page 337-348
  • ISSN: 0862-7959

Abstract

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Some functional representation theorems for monadic n -valued Łukasiewicz algebras (qLk n -algebras, for short) are given. Bearing in mind some of the results established by G. Georgescu and C. Vraciu (Algebre Boole monadice si algebre Łukasiewicz monadice, Studii Cercet. Mat. 23 (1971), 1027–1048) and P. Halmos (Algebraic Logic, Chelsea, New York, 1962), two functional representation theorems for qLk n -algebras are obtained. Besides, rich qLk n -algebras are introduced and characterized. In addition, a third theorem for these algebras is presented and the relationship between the three theorems is shown.

How to cite

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Figallo, A. V., Sanza, Claudia A., and Ziliani, Alicia. "Functional monadic $n$-valued Łukasiewicz algebras." Mathematica Bohemica 130.4 (2005): 337-348. <http://eudml.org/doc/249590>.

@article{Figallo2005,
abstract = {Some functional representation theorems for monadic $n$-valued Łukasiewicz algebras (qLk$_\{n\}$-algebras, for short) are given. Bearing in mind some of the results established by G. Georgescu and C. Vraciu (Algebre Boole monadice si algebre Łukasiewicz monadice, Studii Cercet. Mat. 23 (1971), 1027–1048) and P. Halmos (Algebraic Logic, Chelsea, New York, 1962), two functional representation theorems for qLk$_\{n\}$-algebras are obtained. Besides, rich qLk$_\{n\}$-algebras are introduced and characterized. In addition, a third theorem for these algebras is presented and the relationship between the three theorems is shown.},
author = {Figallo, A. V., Sanza, Claudia A., Ziliani, Alicia},
journal = {Mathematica Bohemica},
keywords = {monadic $n$-valued Łukasiewicz algebra; monadic Boolean algebra; functional representation; functional representation},
language = {eng},
number = {4},
pages = {337-348},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Functional monadic $n$-valued Łukasiewicz algebras},
url = {http://eudml.org/doc/249590},
volume = {130},
year = {2005},
}

TY - JOUR
AU - Figallo, A. V.
AU - Sanza, Claudia A.
AU - Ziliani, Alicia
TI - Functional monadic $n$-valued Łukasiewicz algebras
JO - Mathematica Bohemica
PY - 2005
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 130
IS - 4
SP - 337
EP - 348
AB - Some functional representation theorems for monadic $n$-valued Łukasiewicz algebras (qLk$_{n}$-algebras, for short) are given. Bearing in mind some of the results established by G. Georgescu and C. Vraciu (Algebre Boole monadice si algebre Łukasiewicz monadice, Studii Cercet. Mat. 23 (1971), 1027–1048) and P. Halmos (Algebraic Logic, Chelsea, New York, 1962), two functional representation theorems for qLk$_{n}$-algebras are obtained. Besides, rich qLk$_{n}$-algebras are introduced and characterized. In addition, a third theorem for these algebras is presented and the relationship between the three theorems is shown.
LA - eng
KW - monadic $n$-valued Łukasiewicz algebra; monadic Boolean algebra; functional representation; functional representation
UR - http://eudml.org/doc/249590
ER -

References

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