On interval subalgebras of generalized MV-algebras

Ján Jakubík

Mathematica Slovaca (2006)

  • Volume: 56, Issue: 4, page 387-395
  • ISSN: 0232-0525

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Jakubík, Ján. "On interval subalgebras of generalized MV-algebras." Mathematica Slovaca 56.4 (2006): 387-395. <http://eudml.org/doc/32128>.

@article{Jakubík2006,
author = {Jakubík, Ján},
journal = {Mathematica Slovaca},
keywords = {generalized MV-algebra; unital lattice ordered group; interval subalgebra},
language = {eng},
number = {4},
pages = {387-395},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {On interval subalgebras of generalized MV-algebras},
url = {http://eudml.org/doc/32128},
volume = {56},
year = {2006},
}

TY - JOUR
AU - Jakubík, Ján
TI - On interval subalgebras of generalized MV-algebras
JO - Mathematica Slovaca
PY - 2006
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 56
IS - 4
SP - 387
EP - 395
LA - eng
KW - generalized MV-algebra; unital lattice ordered group; interval subalgebra
UR - http://eudml.org/doc/32128
ER -

References

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  1. CHAJDA I.-HALAŠ R.-KÜHR J., Implication in MV-algebras, Algebra Universalis 52 (2004), 377-382. Zbl1097.06011MR2120523
  2. CHAJDA I.-HALAŠ R.-KÜHR J., Distributive lattices with sectionally antitone involutions, Acta Sci. Math. (Szeged) 71 (2005), 19-33. Zbl1099.06006MR2160352
  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 56 (2006), 275 288. Zbl1141.06002MR2250079
  5. CIGNOLI R.-D'OTTAVIANO M. L.-MUNDICI D., Algebraic Foundations of Many-Valued Reasoning, Kluwer Academic Publishers, Dordrecht, 2000. Zbl0937.06009MR1786097
  6. DVUREČENSKIJ A., Pseudo M V -algebras are intervals in ℓ -groups, J. Aust. Мath. Soc. 72 (2002), 427-445. Zbl1027.06014MR1902211
  7. GEORGESCU G.-IORGULESCU A., Pseudo MV-algebras: a noncommutative extension of MV-algebras, In: The Proceedings of the Fourth International Symposium on Economic Informatics, INFOREC Printing House, Bucharest, 1999, pp. 961-968. (1999) Zbl0985.06007MR1730100
  8. GEORGESCU G.-IORGULESCU A., Pseudo MV-algebras, Mult.-Valued Log. (Special issue dedicated to Gr. C Moisil) 6 (2001), 95-135. Zbl1014.06008MR1817439
  9. JAKUBÍK J., Direct product decompositions of pseudo MV-algebras, Arch. Math. (Brno) 37 (2001), 131-142. Zbl1070.06003MR1838410
  10. JAKUBÍK J., On intervals and the dual of a pseudo MV-algebra, Math. Slovaca 56 (2006), 213-221. Zbl1150.06013MR2229342
  11. RACHŮNEK J., A non-commutative generalization of MV-algebras, Czechoslovak Math. J. 52 (2002), 255-273. Zbl1012.06012MR1905434

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