Spectral topologies of dually residuated lattice-ordered monoids
Mathematica Bohemica, Tome 129 (2004) no. 4, pp. 379-391
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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.
DOI :
10.21136/MB.2004.134046
Classification :
03G10, 03G25, 06D35, 06F05
Keywords: $DR\ell $-monoid; prime ideal; spectrum
Keywords: $DR\ell $-monoid; prime ideal; spectrum
@article{10_21136_MB_2004_134046,
author = {K\"uhr, Jan},
title = {Spectral topologies of dually residuated lattice-ordered monoids},
journal = {Mathematica Bohemica},
pages = {379--391},
publisher = {mathdoc},
volume = {129},
number = {4},
year = {2004},
doi = {10.21136/MB.2004.134046},
mrnumber = {2102611},
zbl = {1080.06023},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/MB.2004.134046/}
}
TY - JOUR AU - Kühr, Jan TI - Spectral topologies of dually residuated lattice-ordered monoids JO - Mathematica Bohemica PY - 2004 SP - 379 EP - 391 VL - 129 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.21136/MB.2004.134046/ DO - 10.21136/MB.2004.134046 LA - en ID - 10_21136_MB_2004_134046 ER -
Kühr, Jan. Spectral topologies of dually residuated lattice-ordered monoids. Mathematica Bohemica, Tome 129 (2004) no. 4, pp. 379-391. doi: 10.21136/MB.2004.134046
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