Displaying similar documents to “Prime ideals and polars in DR ℓ -monoids and BL-algebras”

Spectral topologies of dually residuated lattice-ordered monoids

Jan Kühr (2004)

Mathematica Bohemica

Similarity:

Dually residuated lattice-ordered monoids ( D R ℓ -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.

Remarks on ideals in lower-bounded dually residuated lattice-ordered monoids

Jan Kühr (2004)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

Similarity:

Lattice-ordered groups, as well as G M V -algebras (pseudo M V -algebras), are both particular cases of dually residuated lattice-ordered monoids ( D R ℓ -monoids for short). In the paper we study ideals of lower-bounded D R ℓ -monoids including G M V -algebras. Especially, we deal with the connections between ideals of a D R ℓ -monoid A and ideals of the lattice reduct of A .