DRl-semigroups and M V -algebras

Jiří Rachůnek

Czechoslovak Mathematical Journal (1998)

  • Volume: 48, Issue: 2, page 365-372
  • ISSN: 0011-4642

How to cite

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Rachůnek, Jiří. "DRl-semigroups and $MV$-algebras." Czechoslovak Mathematical Journal 48.2 (1998): 365-372. <http://eudml.org/doc/30425>.

@article{Rachůnek1998,
author = {Rachůnek, Jiří},
journal = {Czechoslovak Mathematical Journal},
keywords = {-semigroup; -algebra; abelian -group; polar},
language = {eng},
number = {2},
pages = {365-372},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {DRl-semigroups and $MV$-algebras},
url = {http://eudml.org/doc/30425},
volume = {48},
year = {1998},
}

TY - JOUR
AU - Rachůnek, Jiří
TI - DRl-semigroups and $MV$-algebras
JO - Czechoslovak Mathematical Journal
PY - 1998
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 48
IS - 2
SP - 365
EP - 372
LA - eng
KW - -semigroup; -algebra; abelian -group; polar
UR - http://eudml.org/doc/30425
ER -

References

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  1. Lattice Theory, 3rd ed, AMS Providence, RI, 1967. (1967) MR0227053
  2. 10.1090/S0002-9947-1958-0094302-9, Trans. Amer. Math. Soc. 88 (1958), 467–490. (1958) Zbl0084.00704MR0094302DOI10.1090/S0002-9947-1958-0094302-9
  3. A new proof of the completeness of the Lukasiewicz axioms, Trans. Amer. Math. Soc. 93 (1959), 74–80. (1959) Zbl0093.01104MR0122718
  4. Free lattice-ordered abelian groups and varieties of MV-algebras, Proc. IX Latin Amer. Symp. Math. Logic, Part 1, Not. Log. Mat. 38, 1993, pp. 113–118. (1993) Zbl0827.06012MR1332526
  5. Cyclic ordered groups and MV-algebras, Czechoslovak Math. J. 43 (118) (1993), 249–263. (1993) Zbl0795.06015MR1211747
  6. On complete MV-algebras, Czechoslovak Math. J. 45 (120) (1995), 473–480. (1995) MR1344513
  7. 10.1007/BF01360284, Math. Ann. 159 (1965), 105–114. (1965) Zbl0138.02104MR0183797DOI10.1007/BF01360284
  8. 10.1007/BF01361218, Math. Ann. 167 (1966), 71–74. (1966) Zbl0158.02601MR0200364DOI10.1007/BF01361218
  9. 10.1017/S1446788700020383, J. Austral. Math. Soc. 24 (Ser. A) (1977), 362–374. (1977) MR0469843DOI10.1017/S1446788700020383

Citations in EuDML Documents

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  1. Jiří Rachůnek, Filip Švrček, MV-algebras with additive closure operators
  2. Liu Lianzhen, Li Kaitai, R 0 -algebras and weak dually residuated lattice ordered semigroups
  3. Jiří Rachůnek, MV-algebras are categorically equivalent to a class of 𝒟ℛ l 1 ( i ) -semigroups
  4. Filip Švrček, Operators on G M V -algebras
  5. Jiří Rachůnek, Ordered prime spectra of bounded D R l -monoids
  6. Jiří Rachůnek, Filip Švrček, Interior and closure operators on bounded commutative residuated l-monoids
  7. Jan Kühr, Remarks on ideals in lower-bounded dually residuated lattice-ordered monoids
  8. Jiří Rachůnek, Dana Šalounová, Modal operators on bounded commutative residuated ℓ -monoids
  9. Milan Jasem, On lattice-ordered monoids
  10. Jiří Rachůnek, Dana Šalounová, Direct decompositions of dually residuated lattice-ordered monoids

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