Prime ideals and polars in $DR\ell$@-monoids and pseudo $BL$@-algebras

Rok, strany: 2003, 233 - 246

Dually residuated lattice ordered monoids ($DR\ell$@-monoids) are a generalization of lattice ordered groups embracing also algebras closely related to logic like pseudo $MV$@-algebras ($GMV$@-algebras) or pseudo $BL$@-algebras. In the paper, the concepts of a prime ideal and a polar in a $DR\ell$@-monoid are established and their basic properties are shown. Since pseudo $BL$@-algebras are in fact the duals of certain bounded $DR\ell$@-monoids, the analogous properties of pseudo $BL$@-algebras are immediately obtained.

ISO 690:

Kühr, J. 2003. Prime ideals and polars in $DR\ell$@-monoids and pseudo $BL$@-algebras. In Mathematica Slovaca, vol. 53, no.3, pp. 233-246. 0139-9918.

APA:

Kühr, J. (2003). Prime ideals and polars in $DR\ell$@-monoids and pseudo $BL$@-algebras. Mathematica Slovaca, 53(3), 233-246. 0139-9918.