. "Annihilators in normal autometrized algebras"@en . . "Chajda, Ivan" . . . "0011-4642" . "autometrized algebra; annihilator; relative annihilator; ideal, polar"@en . "Annihilators in normal autometrized algebras" . . "51" . . . "Annihilators in normal autometrized algebras"@en . . . . "CZ - \u010Cesk\u00E1 republika" . "Rach\u016Fnek, Ji\u0159\u00ED" . . "N" . . "2"^^ . "0"^^ . . . "Z(MSM 153100011)" . . "0"^^ . "2"^^ . "The concepts of an annihilator and a relative annihilator in an autometrized l-algebra are introduced. It is shown that every relative annihilator in a normal autometrized l-algebra A is an ideal of A and every principal ideal of A is an annihilator of A. The set of all annihilators of A forms a complete lattice. The concept of an I-polar is introduced for every ideal I of A. The set of all I-polarsis a complete lattice which becomes a two-element chain provided I is prime.The I-polars are characterized as pseudocomplementsin the lattice of all ideals of A containing I."@en . "[7751C88DFA13]" . "RIV/61989592:15310/01:00001294" . "RIV/61989592:15310/01:00001294!RIV/2002/MSM/153102/N" . . "Czechoslovak Mathematical Journal" . "15310" . . "Annihilators in normal autometrized algebras" . "111-120" . "673430" . "10"^^ . . "The concepts of an annihilator and a relative annihilator in an autometrized l-algebra are introduced. It is shown that every relative annihilator in a normal autometrized l-algebra A is an ideal of A and every principal ideal of A is an annihilator of A. The set of all annihilators of A forms a complete lattice. The concept of an I-polar is introduced for every ideal I of A. The set of all I-polarsis a complete lattice which becomes a two-element chain provided I is prime.The I-polars are characterized as pseudocomplementsin the lattice of all ideals of A containing I." .