Additive closure operators on abelian unital l -groups

Filip Švrček

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica (2006)

  • Volume: 45, Issue: 1, page 153-158
  • ISSN: 0231-9721

Abstract

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In the paper an additive closure operator on an abelian unital l -group ( G , u ) is introduced and one studies the mutual relation of such operators and of additive closure ones on the M V -algebra Γ ( G , u ) .

How to cite

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Švrček, Filip. "Additive closure operators on abelian unital $l$-groups." Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 45.1 (2006): 153-158. <http://eudml.org/doc/32506>.

@article{Švrček2006,
abstract = {In the paper an additive closure operator on an abelian unital $l$-group $(G,u)$ is introduced and one studies the mutual relation of such operators and of additive closure ones on the $MV$-algebra $\Gamma (G,u)$.},
author = {Švrček, Filip},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
keywords = {$MV$-algebra; $l$-group; MV-algebra; -group},
language = {eng},
number = {1},
pages = {153-158},
publisher = {Palacký University Olomouc},
title = {Additive closure operators on abelian unital $l$-groups},
url = {http://eudml.org/doc/32506},
volume = {45},
year = {2006},
}

TY - JOUR
AU - Švrček, Filip
TI - Additive closure operators on abelian unital $l$-groups
JO - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
PY - 2006
PB - Palacký University Olomouc
VL - 45
IS - 1
SP - 153
EP - 158
AB - In the paper an additive closure operator on an abelian unital $l$-group $(G,u)$ is introduced and one studies the mutual relation of such operators and of additive closure ones on the $MV$-algebra $\Gamma (G,u)$.
LA - eng
KW - $MV$-algebra; $l$-group; MV-algebra; -group
UR - http://eudml.org/doc/32506
ER -

References

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  1. Chang C. C., Algebraic analysis of many valued logics, Trans. Amer. Math. Soc. 88 (1958), 467–490. (1958) Zbl0084.00704MR0094302
  2. Chang C. C., A new proof of the completeness of the Lukasiewicz axioms, Trans. Amer. Math. Soc. 93 (1959), 74–80. (1959) Zbl0093.01104MR0122718
  3. Cignoli R. O. L., D’Ottaviano I. M. L., Mundici D.: Algebraic Foundations of Many-valued Reasoning., Kluwer Acad. Publ., Dordrecht–Boston–London, 2000. MR1786097
  4. Dvurečenskij A., Pulmannová S.: New Trends in Quantum Structures., Kluwer Acad. Publ., Dordrecht, 2000. MR1861369
  5. Mundici D., Interpretation of AF C * -algebras in Lukasiewicz sentential calculus, J. Funct. Analys. 65 (1986), 15–63. (1986) Zbl0597.46059MR0819173
  6. Rachůnek J., Švrček F., MV-algebras with additive closure operators, Acta Univ. Palacki. Olomuc., Fac. rer. nat., Math. 39 (2000), 183–189. Zbl1039.06005MR1826361

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