Weak homogeneity and Pierce’s theorem for M V -algebras

Ján Jakubík

Czechoslovak Mathematical Journal (2006)

  • Volume: 56, Issue: 4, page 1215-1227
  • ISSN: 0011-4642

Abstract

top
In this paper we prove a theorem on weak homogeneity of M V -algebras which generalizes a known result on weak homogeneity of Boolean algebras. Further, we consider a homogeneity condition for M V -algebras which is defined by means of an increasing cardinal property.

How to cite

top

Jakubík, Ján. "Weak homogeneity and Pierce’s theorem for $MV$-algebras." Czechoslovak Mathematical Journal 56.4 (2006): 1215-1227. <http://eudml.org/doc/31101>.

@article{Jakubík2006,
abstract = {In this paper we prove a theorem on weak homogeneity of $MV$-algebras which generalizes a known result on weak homogeneity of Boolean algebras. Further, we consider a homogeneity condition for $MV$-algebras which is defined by means of an increasing cardinal property.},
author = {Jakubík, Ján},
journal = {Czechoslovak Mathematical Journal},
keywords = {$MV$-algebra; weak homogeneity; internal direct product decomposition; MV-algebra; weak homogeneity; internal direct product decomposition},
language = {eng},
number = {4},
pages = {1215-1227},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Weak homogeneity and Pierce’s theorem for $MV$-algebras},
url = {http://eudml.org/doc/31101},
volume = {56},
year = {2006},
}

TY - JOUR
AU - Jakubík, Ján
TI - Weak homogeneity and Pierce’s theorem for $MV$-algebras
JO - Czechoslovak Mathematical Journal
PY - 2006
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 56
IS - 4
SP - 1215
EP - 1227
AB - In this paper we prove a theorem on weak homogeneity of $MV$-algebras which generalizes a known result on weak homogeneity of Boolean algebras. Further, we consider a homogeneity condition for $MV$-algebras which is defined by means of an increasing cardinal property.
LA - eng
KW - $MV$-algebra; weak homogeneity; internal direct product decomposition; MV-algebra; weak homogeneity; internal direct product decomposition
UR - http://eudml.org/doc/31101
ER -

References

top
  1. Algebraic Foundations of Many-Valued Reasoning, Kluwer Academic Publishers, Dordrecht, 2000. (2000) MR1786097
  2. Konvexe Ketten in -Gruppen, Časopis pěst. mat. 84 (1959), 53–63. (1959) MR0104740
  3. 10.4064/fm-74-2-85-98, Fundamenta Math. 74 (1972), 85–98. (1972) MR0302528DOI10.4064/fm-74-2-85-98
  4. Direct product decomposition of MV-algebras, Czechoslovak Math. J. 44 (1994), 725–739. (1994) MR1295146
  5. 10.1007/s10587-004-6449-x, Czechoslovak Math. J 54 (2004), 1035–1053. (2004) MR2100012DOI10.1007/s10587-004-6449-x
  6. 10.1007/s10587-006-0007-7, Czechoslovak Math. J 56 (2006), 79–97. (2006) MR2206288DOI10.1007/s10587-006-0007-7
  7. 10.1090/S0002-9939-1958-0102487-6, Proc. Amer. Math. Soc. 9 (1958), 892–896. (1958) MR0102487DOI10.1090/S0002-9939-1958-0102487-6
  8. Some questions about complete Boolean algebras, Proc. Sympos. Pure Math. 2 (1961), 129–140. (1961) Zbl0101.27104MR0138570
  9. Boolean Algebras, Second Edition, Springer Verlag, Berlin, 1964. (1964) Zbl0123.01303MR0126393

NotesEmbed ?

top

You 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.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.