Algebras on subintervals of BL-algebras, pseudo BL-algebras and bounded residuated ℓ -monoids

Anatolij Dvurečenskij; Marek Hyčko

Mathematica Slovaca (2006)

  • Volume: 56, Issue: 2, page 125-144
  • ISSN: 0232-0525

How to cite

top

Dvurečenskij, Anatolij, and Hyčko, Marek. "Algebras on subintervals of BL-algebras, pseudo BL-algebras and bounded residuated $\ell $-monoids." Mathematica Slovaca 56.2 (2006): 125-144. <http://eudml.org/doc/32401>.

@article{Dvurečenskij2006,
author = {Dvurečenskij, Anatolij, Hyčko, Marek},
journal = {Mathematica Slovaca},
keywords = {BL-algebra; pseudo BL-algebra; bounded -monoid; Bosbach state; ordinal sum (pasting); filter; idempotent},
language = {eng},
number = {2},
pages = {125-144},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Algebras on subintervals of BL-algebras, pseudo BL-algebras and bounded residuated $\ell $-monoids},
url = {http://eudml.org/doc/32401},
volume = {56},
year = {2006},
}

TY - JOUR
AU - Dvurečenskij, Anatolij
AU - Hyčko, Marek
TI - Algebras on subintervals of BL-algebras, pseudo BL-algebras and bounded residuated $\ell $-monoids
JO - Mathematica Slovaca
PY - 2006
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 56
IS - 2
SP - 125
EP - 144
LA - eng
KW - BL-algebra; pseudo BL-algebra; bounded -monoid; Bosbach state; ordinal sum (pasting); filter; idempotent
UR - http://eudml.org/doc/32401
ER -

References

top
  1. AGLIANO P.-MONTAGNA F., Varieties of BL-algebras I: General properties, J. Pure Appl. Algebra 181 (2003), 105-129. Zbl1034.06009MR1975295
  2. BAHLS P.-COLE J.-GALATOS N.-JIPSEN P.-TSINAKIS C., Cancellative residuated lattices, Algebra Universalis 50 (2003), 83-106. Zbl1092.06012MR2026830
  3. CHAJDA I.-KÜHR J., A note on interval MV-algebras, Math. Slovaca 56 (2006), 47-52. Zbl1164.06010MR2217579
  4. CHAJDA I.-KÜHR J., GMV-algebras and meet-semilattices with sectionally antitone permutations, Math. Slovaca (To appear). Zbl1141.06002MR2250079
  5. CIGNOLI R.-ESTEVA F.-GODO L.-TORRENS A., Basic fuzzy logic is the logic of continuous t-norms and their residua, Soft Comput. 4 (2000), 106-112. 
  6. DI NOLA A.-LETTIERI A., Finite BL-algebras, Discrete Math. 269 (2003), 93-112. Zbl1025.06008MR1989455
  7. DI NOLA A.-GEORGESCU G.-IORGULESCU A., Pseudo BL-algebras: Part I, Mult.-Valued Log. 8 (2002), 673-714. MR1948853
  8. DI NOLA A.-GEORGESCU G.-IORGULESCU A., Pseudo BL-algebras: Part II, Mult.-Valued Log. 8 (2002), 717-750. MR1948854
  9. DVUREČENSKIJ A., Pseudo MV-algebras are intervals in t-groups, J. Aust. Math. Soc. 70 (2002), 427-445. MR1902211
  10. DVUREČENSKIJ A.-RACHŮNEK J., Bounded commutative residuated t-monoids with general comparability and states, Soft Comput. 10 (2006), 212-218. 
  11. DVUREČENSKIJ A.-RACHŮNEK J., Probabilistic averaging in bounded commutative residuated t-monoids, Discrete Math. (2006) (To appear). MR2237716
  12. DVUREČENSKIJ A.-RACHŮNEK J., Probabilistic averaging in bounded Rt-monoids, Semigroup Forum 72 (2006), 190-206. MR2216089
  13. GEORGESCU G.-IORGULESCU A., Pseudo-MV algebras, Mult.-Valued Log. 6 (2001), 95-135. Zbl1014.06008MR1817439
  14. HÁJEK P., Basic fuzzy logic and BL-algebras, Soft Comput. 2 (1998), 124-128. (1998) 
  15. JAKUBÍK J., On interval subalgebras of generalized MV-algebras, Math. Slovaca 56 (2006) (To appear). Zbl1141.06006MR2267760
  16. RACHŮNEK J., A non-commutative generalization of MV-algebras, Czechoslovak Math. J. 52 (2002), 255-273. Zbl1012.06012MR1905434

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.