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Discriminator order algebras

Ivan Chajda (2008)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

We prove that an order algebra assigned to a bounded poset with involution is a discriminator algebra.

Discriminator varieties of Boolean algebras with residuated operators

Peter Jipsen (1993)

Banach Center Publications

The theory of discriminator algebras and varieties has been investigated extensively, and provides us with a wealth of information and techniques applicable to specific examples of such algebras and varieties. Here we give several such examples for Boolean algebras with a residuated binary operator, abbreviated as r-algebras. More specifically, we show that all finite r-algebras, all integral r-algebras, all unital r-algebras with finitely many elements below the unit, and all commutative residuated...

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