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Keywords:
$DR\ell $-monoid; prime ideal; spectrum
$DR\ell $-monoid; prime ideal; spectrum
Summary:
Dually residuated lattice-ordered monoids ($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.
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