Embeddings of totally ordered MV-algebras of bounded cardinality
Fundamenta Mathematicae (2009)
- Volume: 203, Issue: 1, page 57-63
- ISSN: 0016-2736
Access Full Article
top
Abstract
topHow to cite
topPiotr J. Wojciechowski. "Embeddings of totally ordered MV-algebras of bounded cardinality." Fundamenta Mathematicae 203.1 (2009): 57-63. <http://eudml.org/doc/282629>.
@article{PiotrJ2009,
abstract = {For a given cardinal number 𝔞, we construct a totally ordered MV-algebra M(𝔞) having the property that every totally ordered MV-algebra of cardinality at most 𝔞 embeds into M(𝔞). In case 𝔞 = ℵ₀, the algebra M(𝔞) is the first known MV-algebra with respect to which the deductive system for the infinitely-valued Łukasiewicz's propositional logic is strongly complete.},
author = {Piotr J. Wojciechowski},
journal = {Fundamenta Mathematicae},
keywords = {MV-algebra; lattice-ordered abelian group; Łukasiewicz deductive system},
language = {eng},
number = {1},
pages = {57-63},
title = {Embeddings of totally ordered MV-algebras of bounded cardinality},
url = {http://eudml.org/doc/282629},
volume = {203},
year = {2009},
}
TY - JOUR
AU - Piotr J. Wojciechowski
TI - Embeddings of totally ordered MV-algebras of bounded cardinality
JO - Fundamenta Mathematicae
PY - 2009
VL - 203
IS - 1
SP - 57
EP - 63
AB - For a given cardinal number 𝔞, we construct a totally ordered MV-algebra M(𝔞) having the property that every totally ordered MV-algebra of cardinality at most 𝔞 embeds into M(𝔞). In case 𝔞 = ℵ₀, the algebra M(𝔞) is the first known MV-algebra with respect to which the deductive system for the infinitely-valued Łukasiewicz's propositional logic is strongly complete.
LA - eng
KW - MV-algebra; lattice-ordered abelian group; Łukasiewicz deductive system
UR - http://eudml.org/doc/282629
ER -
NotesEmbed ?
topYou must be logged in to post comments.
To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.