On intervals and isometries of M V -algebras

Ján Jakubík

Czechoslovak Mathematical Journal (2002)

  • Volume: 52, Issue: 3, page 651-663
  • ISSN: 0011-4642

Abstract

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Let Int 𝒜 be the lattice of all intervals of an M V -algebra 𝒜 . In the present paper we investigate the relations between direct product decompositions of 𝒜 and (i) the lattice Int 𝒜 , or (ii) 2-periodic isometries on 𝒜 , respectively.

How to cite

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Jakubík, Ján. "On intervals and isometries of $MV$-algebras." Czechoslovak Mathematical Journal 52.3 (2002): 651-663. <http://eudml.org/doc/30732>.

@article{Jakubík2002,
abstract = {Let Int $\mathcal \{A\}$ be the lattice of all intervals of an $MV$-algebra $\mathcal \{A\}$. In the present paper we investigate the relations between direct product decompositions of $\mathcal \{A\}$ and (i) the lattice Int $\mathcal \{A\}$, or (ii) 2-periodic isometries on $\mathcal \{A\}$, respectively.},
author = {Jakubík, Ján},
journal = {Czechoslovak Mathematical Journal},
keywords = {$MV$-algebra; duality; interval; autometrization; 2-periodic isometry; MV-algebra; duality; interval; autometrization; 2-periodic isometry},
language = {eng},
number = {3},
pages = {651-663},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On intervals and isometries of $MV$-algebras},
url = {http://eudml.org/doc/30732},
volume = {52},
year = {2002},
}

TY - JOUR
AU - Jakubík, Ján
TI - On intervals and isometries of $MV$-algebras
JO - Czechoslovak Mathematical Journal
PY - 2002
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 52
IS - 3
SP - 651
EP - 663
AB - Let Int $\mathcal {A}$ be the lattice of all intervals of an $MV$-algebra $\mathcal {A}$. In the present paper we investigate the relations between direct product decompositions of $\mathcal {A}$ and (i) the lattice Int $\mathcal {A}$, or (ii) 2-periodic isometries on $\mathcal {A}$, respectively.
LA - eng
KW - $MV$-algebra; duality; interval; autometrization; 2-periodic isometry; MV-algebra; duality; interval; autometrization; 2-periodic isometry
UR - http://eudml.org/doc/30732
ER -

References

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