# Spectra of autometrized lattice algebras

Mathematica Bohemica (1998)

- Volume: 123, Issue: 1, page 87-94
- ISSN: 0862-7959

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topRachůnek, Jiří. "Spectra of autometrized lattice algebras." Mathematica Bohemica 123.1 (1998): 87-94. <http://eudml.org/doc/248308>.

@article{Rachůnek1998,

abstract = {Autometrized algebras are a common generalization e.g. of commutative lattice ordered groups and Brouwerian algebras. In the paper, spectra of normal autometrized lattice ordered algebras (i.e. topologies of sets (and subsets) of their proper prime ideals) are studied. Especially, the representable dually residuated lattice ordered semigroups are examined.},

author = {Rachůnek, Jiří},

journal = {Mathematica Bohemica},

keywords = {autometrized algebra; dually residuated lattice ordered semigroup; prime ideal; spectrum; lattice-ordered algebras; autometrized algebra; dually residuated lattice ordered semigroup; prime ideal; spectrum; lattice-ordered algebras},

language = {eng},

number = {1},

pages = {87-94},

publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},

title = {Spectra of autometrized lattice algebras},

url = {http://eudml.org/doc/248308},

volume = {123},

year = {1998},

}

TY - JOUR

AU - Rachůnek, Jiří

TI - Spectra of autometrized lattice algebras

JO - Mathematica Bohemica

PY - 1998

PB - Institute of Mathematics, Academy of Sciences of the Czech Republic

VL - 123

IS - 1

SP - 87

EP - 94

AB - Autometrized algebras are a common generalization e.g. of commutative lattice ordered groups and Brouwerian algebras. In the paper, spectra of normal autometrized lattice ordered algebras (i.e. topologies of sets (and subsets) of their proper prime ideals) are studied. Especially, the representable dually residuated lattice ordered semigroups are examined.

LA - eng

KW - autometrized algebra; dually residuated lattice ordered semigroup; prime ideal; spectrum; lattice-ordered algebras; autometrized algebra; dually residuated lattice ordered semigroup; prime ideal; spectrum; lattice-ordered algebras

UR - http://eudml.org/doc/248308

ER -

## References

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## Citations in EuDML Documents

top- Jan Kühr, Spectral topologies of dually residuated lattice-ordered monoids
- Dana Šalounová, Spectra of weakly associative lattice rings
- Jiří Rachůnek, Ordered prime spectra of bounded $DRl$-monoids
- Jiří Rachůnek, A duality between algebras of basic logic and bounded representable $DRl$-monoids
- Jiří Rachůnek, Polars and annihilators in representable $\mathrm{DRl}$-monoids and $\mathrm{MV}$-algebras

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