Spectral topologies of dually residuated lattice-ordered monoids

Jan Kühr

Mathematica Bohemica (2004)

  • Volume: 129, Issue: 4, page 379-391
  • ISSN: 0862-7959

Abstract

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Dually residuated lattice-ordered monoids ( D R -monoids for short) generalize lattice-ordered groups and include for instance also G M V -algebras (pseudo M V -algebras), a non-commutative extension of M V -algebras. In the present paper, the spectral topology of proper prime ideals is introduced and studied.

How to cite

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Kühr, Jan. "Spectral topologies of dually residuated lattice-ordered monoids." Mathematica Bohemica 129.4 (2004): 379-391. <http://eudml.org/doc/249413>.

@article{Kühr2004,
abstract = {Dually residuated lattice-ordered monoids ($DR\ell $-monoids for short) generalize lattice-ordered groups and include for instance also $GMV$-algebras (pseudo $MV$-algebras), a non-commutative extension of $MV$-algebras. In the present paper, the spectral topology of proper prime ideals is introduced and studied.},
author = {Kühr, Jan},
journal = {Mathematica Bohemica},
keywords = {$DR\ell $-monoid; prime ideal; spectrum; -monoid; prime ideal; spectrum},
language = {eng},
number = {4},
pages = {379-391},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Spectral topologies of dually residuated lattice-ordered monoids},
url = {http://eudml.org/doc/249413},
volume = {129},
year = {2004},
}

TY - JOUR
AU - Kühr, Jan
TI - Spectral topologies of dually residuated lattice-ordered monoids
JO - Mathematica Bohemica
PY - 2004
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 129
IS - 4
SP - 379
EP - 391
AB - Dually residuated lattice-ordered monoids ($DR\ell $-monoids for short) generalize lattice-ordered groups and include for instance also $GMV$-algebras (pseudo $MV$-algebras), a non-commutative extension of $MV$-algebras. In the present paper, the spectral topology of proper prime ideals is introduced and studied.
LA - eng
KW - $DR\ell $-monoid; prime ideal; spectrum; -monoid; prime ideal; spectrum
UR - http://eudml.org/doc/249413
ER -

References

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