About: Tense Operators on Basic Algebras

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Description	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. 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)
Title	Tense Operators on Basic Algebras Tense Operators on Basic Algebras (en)
skos:prefLabel	Tense Operators on Basic Algebras Tense Operators on Basic Algebras (en)
skos:notation	RIV/61989592:15310/11:33116588!RIV12-MSM-15310___
http://linked.open...avai/predkladatel	Přírodovědecká fakulta
http://linked.open...avai/riv/aktivita	Z
http://linked.open...avai/riv/aktivity	Z(MSM6198959214)
http://linked.open...iv/cisloPeriodika	12
http://linked.open...vai/riv/dodaniDat	2012
http://linked.open...aciTvurceVysledku	Botur, Michal Halaš, Radomír Chajda, Ivan Kolařík, Miroslav
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Univerzita Palackého v Olomouci / Přírodovědecká fakulta
http://linked.open...dnocenehoVysledku	234641
http://linked.open...ai/riv/idVysledku	RIV/61989592:15310/11:33116588
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Tense operator; Left-monotonous basic algebra; Effect algebra; Commutative basic algebra; Basic algebra (en)
http://linked.open.../riv/klicoveSlovo	Basic algebra Commutative basic algebra Left-monotonous basic algebra Tense operator Effect algebra
http://linked.open...odStatuVydavatele	US - Spojené státy americké
http://linked.open...ontrolniKodProRIV	[18C269B64D4C]
http://linked.open...i/riv/nazevZdroje	International Journal of Theoretical Physics
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	4 (xsd:int)
http://linked.open...cetTvurcuVysledku	4 (xsd:int)
http://linked.open...UplatneniVysledku	2011
http://linked.open...v/svazekPeriodika	50
http://linked.open...iv/tvurceVysledku	Botur, Michal Chajda, Ivan Halaš, Radomír Kolařík, Miroslav
http://linked.open...ain/vavai/riv/wos	000296923500008
http://linked.open...n/vavai/riv/zamer	Matematické modely a struktury
issn	0020-7748
number of pages	12 (xsd:int)
http://bibframe.org/vocab/doi	10.1007/s10773-011-0748-4
http://localhost/t...ganizacniJednotka	15310
is http://linked.open...avai/riv/vysledek of	Tense Operators on Basic Algebras Tense Operators on Basic Algebras

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