Ultra L I -ideals in lattice implication algebras

Ke Yun Qin; Yang Xu; Young Bae Jun

Czechoslovak Mathematical Journal (2002)

  • Volume: 52, Issue: 3, page 463-468
  • ISSN: 0011-4642

Abstract

top
We define an ultra L I -ideal of a lattice implication algebra and give equivalent conditions for an L I -ideal to be ultra. We show that every subset of a lattice implication algebra which has the finite additive property can be extended to an ultra L I -ideal.

How to cite

top

Qin, Ke Yun, Xu, Yang, and Jun, Young Bae. "Ultra $LI$-ideals in lattice implication algebras." Czechoslovak Mathematical Journal 52.3 (2002): 463-468. <http://eudml.org/doc/30716>.

@article{Qin2002,
abstract = {We define an ultra $LI$-ideal of a lattice implication algebra and give equivalent conditions for an $LI$-ideal to be ultra. We show that every subset of a lattice implication algebra which has the finite additive property can be extended to an ultra $LI$-ideal.},
author = {Qin, Ke Yun, Xu, Yang, Jun, Young Bae},
journal = {Czechoslovak Mathematical Journal},
keywords = {lattice implication algebra; (ultra) $LI$-ideal; finite additive property; lattice implication algebra; ultra LI-ideal; finite additivity property},
language = {eng},
number = {3},
pages = {463-468},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Ultra $LI$-ideals in lattice implication algebras},
url = {http://eudml.org/doc/30716},
volume = {52},
year = {2002},
}

TY - JOUR
AU - Qin, Ke Yun
AU - Xu, Yang
AU - Jun, Young Bae
TI - Ultra $LI$-ideals in lattice implication algebras
JO - Czechoslovak Mathematical Journal
PY - 2002
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 52
IS - 3
SP - 463
EP - 468
AB - We define an ultra $LI$-ideal of a lattice implication algebra and give equivalent conditions for an $LI$-ideal to be ultra. We show that every subset of a lattice implication algebra which has the finite additive property can be extended to an ultra $LI$-ideal.
LA - eng
KW - lattice implication algebra; (ultra) $LI$-ideal; finite additive property; lattice implication algebra; ultra LI-ideal; finite additivity property
UR - http://eudml.org/doc/30716
ER -

References

top
  1. L I -ideals in lattice implication algebras, Bull. Korean Math. Soc. 35 (1998), 13–24. (1998) MR1609010
  2. Fuzzy L I -ideals in lattice implication algebras, J. Fuzzy Math. 7 (1999), 997–1003. (1999) MR1734015
  3. Positive implicative and associative filters of lattice implication algebras, Bull. Korean Math. Soc. 35(1) (1998), 53–61. (1998) MR1608994
  4. Homomorphisms in lattice implication algebras, Proc. of 5th Many-Valued Logical Congress of China (1992), 206–211. (1992) 
  5. Lattice implication algebras, J. Southwest Jiaotong University 1 (1993), 20–27. (1993) Zbl0966.03524
  6. On filters of lattice implication algebras, J. Fuzzy Math. 1 (1993), 251–260. (1993) MR1230317

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.