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: 0139-9918

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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

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  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

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