. "000296923500008" . "The concept of tense operators on a basic algebra is introduced. Since basic algebras can serve as an axiomatization of a many-valued quantum logic (see e. g. Chajda et al. in Algebra Univer. 60(1):63-90, 2009), these tense operators are considered to quantify time dimension, i. e. one expresses the quantification %22it is always going to be the case that%22 and the other expresses %22it has always been the case that%22. We set up the axiomatization and basic properties of tense operators on basic algebras and involve a certain construction of these operators for left-monotonous basic algebras. Finally, we relate basic algebras with tense operators with another quantum structures which are the so-called dynamic effect algebras."@en . . "Kola\u0159\u00EDk, Miroslav" . "The concept of tense operators on a basic algebra is introduced. Since basic algebras can serve as an axiomatization of a many-valued quantum logic (see e. g. Chajda et al. in Algebra Univer. 60(1):63-90, 2009), these tense operators are considered to quantify time dimension, i. e. one expresses the quantification %22it is always going to be the case that%22 and the other expresses %22it has always been the case that%22. We set up the axiomatization and basic properties of tense operators on basic algebras and involve a certain construction of these operators for left-monotonous basic algebras. Finally, we relate basic algebras with tense operators with another quantum structures which are the so-called dynamic effect algebras." . "RIV/61989592:15310/11:33116588!RIV12-MSM-15310___" . . . . . . . "Tense operator; Left-monotonous basic algebra; Effect algebra; Commutative basic algebra; Basic algebra"@en . "4"^^ . "234641" . "10.1007/s10773-011-0748-4" . "4"^^ . . "12" . . "12"^^ . . . . "15310" . . "Hala\u0161, Radom\u00EDr" . "Tense Operators on Basic Algebras"@en . "Chajda, Ivan" . "Tense Operators on Basic Algebras"@en . . . "RIV/61989592:15310/11:33116588" . "Tense Operators on Basic Algebras" . "0020-7748" . . "International Journal of Theoretical Physics" . "Z(MSM6198959214)" . "Tense Operators on Basic Algebras" . "[18C269B64D4C]" . . . "Botur, Michal" . . "US - Spojen\u00E9 st\u00E1ty americk\u00E9" . . "50" .