On Riečan and Bosbach states for bounded non-commutative R ℓ -monoids

Anatolij Dvurečenskij; Jiří Rachůnek

Mathematica Slovaca (2006)

  • Volume: 56, Issue: 5, page 487-500
  • ISSN: 0139-9918

How to cite

top

Dvurečenskij, Anatolij, and Rachůnek, Jiří. "On Riečan and Bosbach states for bounded non-commutative $R\ell $-monoids." Mathematica Slovaca 56.5 (2006): 487-500. <http://eudml.org/doc/32069>.

@article{Dvurečenskij2006,
author = {Dvurečenskij, Anatolij, Rachůnek, Jiří},
journal = {Mathematica Slovaca},
keywords = {bounded -monoid; pseudo -algebra; Riečan state; Bosbach state},
language = {eng},
number = {5},
pages = {487-500},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {On Riečan and Bosbach states for bounded non-commutative $R\ell $-monoids},
url = {http://eudml.org/doc/32069},
volume = {56},
year = {2006},
}

TY - JOUR
AU - Dvurečenskij, Anatolij
AU - Rachůnek, Jiří
TI - On Riečan and Bosbach states for bounded non-commutative $R\ell $-monoids
JO - Mathematica Slovaca
PY - 2006
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 56
IS - 5
SP - 487
EP - 500
LA - eng
KW - bounded -monoid; pseudo -algebra; Riečan state; Bosbach state
UR - http://eudml.org/doc/32069
ER -

References

top
  1. BAHLS P.-COLE J.-GALATOS N.-JIPSEN P.-TSINAKIS C., Cancelative residuated lattices, Algebra Universalis 50 (2003), 83-106. MR2026830
  2. BOOLE G., An Investigation of the Laws of Thought, Macmillan/Dover Press (reprinted), London/New York, 1854/1967. (1967) MR2857913
  3. CHANG C. C., Algebraic analysis of many valued logics, Trans. Amer. Math. Soc. 88 (1958), 467-490. (1958) Zbl0084.00704MR0094302
  4. DI NOLA A.-GEORGESCU G.-IORGULESCU A., Pseudo-BL algebras I, Mult.-Valued Log. 8 (2002), 673-714. Zbl1028.06007MR1948853
  5. DI NOLA A.-GEORGESCU G.-IORGULESCU A., Pseudo-BL algebras II, Mult.-Valued Log. 8 (2002), 715-750. Zbl1028.06008MR1948854
  6. DVUREČENSKIJ A., Pseudo MV-algebras are intervals in i-groups, J. Aust. Math. Soc. 70 (2002), 427-445. MR1902211
  7. DVUREČENSKIJ A., States on pseudo MV-algebras, Studia Logica 68 (2001), 301-327. Zbl1081.06010MR1865858
  8. DVUREČENSKIJ A.-PULMANNOVÁ S., New Trends in Quantum Structures, Kluwer Acad. Publ./Ister Science, Dordrecht/Bratislava, 2000. Zbl0987.81005MR1861369
  9. DVUREČENSKIJ A.-RACHŮNEK J., Probabilistic averaging in bounded commutative residuated ℓ -monoids, Discrete Math. 306 (2006), 1317-1326. Zbl1105.06011MR2237716
  10. DVUREČENSKIJ A.-RACHŮNEK J., Probabilistic averaging in bounded R ℓ -monoids, Semigroup Forum 72 (2006), 190-206. Zbl1105.06010MR2216089
  11. GEORGESCU G., Bosbach states on fuzzy structures, Soft Comput. 8 (2004), 217-230. Zbl1081.06012
  12. GEORGESCU G.-IORGULESCU A., Pseudo-MV algebras, Mult.-Valued Log. 6 (2001), 95-135. Zbl1014.06008MR1817439
  13. GEORGESCU G.-LEUSTEAN L., Some classes of pseudo-Bl algebras, J. Aust. Math. Soc. 73 (2002), 127-153. Zbl1016.03069MR1916313
  14. GOODEARL K. R., Partially Ordered Abelian Groups with Interpolation, Math. Surveys Monogr. 20, Amer. Math. Soc, Providence, RI, 1986. (1986) Zbl0589.06008MR0845783
  15. KOPKA F.-CHOVANEC F., D-posets, Math. Slovaca 44 (1994), 21-34. (1994) Zbl0789.03048MR1290269
  16. MUNDICI D., Averaging the truth-value in Lukasiewicz logic, Studia Logica 55 (1995), 113-127. (1995) Zbl0836.03016MR1348840
  17. RACHŮNEK J., A non-commutative generalization of MV-algebras, Czechoslovak Math. J. 52 (2002), 255-273. Zbl1012.06012MR1905434
  18. RACHŮNEK J.-SLEZÁK V., Bounded dually residuated lattice ordered monoids as a generalization of fuzzy structures, Math. Slovaca 56 (2006), 223-233. Zbl1150.06015MR2229343
  19. RIEČAN B., On the probability on BL-algebras, Acta Math. Nitra 4 (2000), 3-13. 

Citations in EuDML Documents

top
  1. Michiro Kondo, Some properties of state filters in state residuated lattices
  2. Jiří Rachůnek, Zdeněk Svoboda, Interior and Closure Operators on Commutative Bounded Residuated Lattices
  3. Jiří Rachůnek, Zdeněk Svoboda, Interior and closure operators on bounded residuated lattices
  4. Jiří Rachůnek, Zdeněk Svoboda, Monotone modal operators on bounded integral residuated lattices
  5. Jiří Rachůnek, Dana Šalounová, Modal operators on bounded residuated l -monoids

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.