On the existence of states on mtl-algebras

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August undefined, 2024

Web20 de jan. de 2013 · The aim of this paper is to investigate the existence of Bosbach states and Riečan states on MTL-algebras. We prove that an MTL-algebra L has Bosbach … WebThe aim of this paper is to investigate the existence of Bosbach states and Riečan states on MTL-algebras. We prove that an MTL-algebra L has Bosbach states if and only if L has an MV-filter. We also establish that L has a state-morphism if and only if L has a maximal MV-filter. Furthermore, we obtain the necessary and sufficient condition for an MTL …

arXiv:1104.2579v1 [math.AC] 13 Apr 2011

Web18 de nov. de 2024 · We study the existence of faithful tracial states on C*-algebras as well as the stronger proerty that all quotients admit faithful tracial states. We provide a sufficient and necessary condition for when C*-algebras admit faithful tracial states in terms of the Cuntz semigroup and use this to give an equivalent formulation for all quotients to … Webical algebras have been proposed as the semantical systems of non-classical logic systems, for example, MV-algebras (Chang 1958), BL-algebras (Hájek 1998), MTL-algebras (Esteva and Godo 2001), R0-algebras (Wang 2000), hoops (Esteva et al. 2003) and residuated lattices (Ward and Dil-worth 1939). Among various logical algebras, … how do i get a new remote from spectrum

States and internal states on semihoops - Springer

Web29 de mar. de 2008 · The key result in the paper concerns two transformations, Phi(rho, psi) and B_t(psi) on states on the algebra of non-commutative polynomials, or equivalently … Web13 de mar. de 2014 · We define the notions of Bosbach states and inf-Bosbach states on a bounded hyper BCK-algebra and derive some basic properties of them. We construct a … Webin Section 4. The set of all states (the state space) forms a Bauer simplex (Section 4.1). Section 4.2 is about the existence of invariant faithful states. De Finetti’s coherence criterion for many-valued events and states is discussed in Section 5: in Section 5.1 we concentrate on coherent books on free MV-algebras and how much is the chevy educator discount

The existence of states on every Archimedean atomic lattice effect ...

On the existence of states for linear pseudo BL-algebras

WebIn this paper, we investigate states and internal states on bounded semihoops. First, we introduce Bosbach states and Rieăźan states on bounded semihoops. We derive that Bosbach states are Rieăźan states on bounded semihoops, while the … Webstudied the existence of Bosbach states and Rieˇcan states on MTL-algebra in [12]. Some examples showed that there exist MTL-algebras having no Bosbach states and Rieˇcan states. Ciungu [6] extended the notions of states to the case of pseudo-BCK algebras, and proved that, in any good pseudo-BCK algebra with how do i get a new router from attWeb4 de jul. de 2009 · The aim of this paper is to investigate the existence of Bosbach states and Riečan states on MTL-algebras. We prove that an MTL-algebra L has Bosbach … how much is the chicago tribune

"WebIn the paper, we introduce 𝔏-fuzzy state filters in state residuated lattices and investigate their related properties, where 𝔏 is a complete Heyting algebra. Moreover, we study the 𝔏-fuzzy state co-annihilator of an 𝔏-fuzzy set with respect to an 𝔏-fuzzy state filter. Finally, using the 𝔏-fuzzy state co-annihilator, we investigate lattice structures of the set of some types ... " - On the existence of states on mtl-algebras

On the existence of states on mtl-algebras

The lattices of 𝔏-fuzzy state filters in state residuated lattices

WebThese works generalize a series of existing results about existence of states in several algebras, such as residuated lattices, NM-algebras, MTL-algebras, BL-algebras and so … Webparticular ones of state-morphism BL-algebras, state-morphism MTL-algebras, state-morphism non-associative BL-algebras, and state-morphism pseudo MV-algebras. 1. Introduction A state, as an analogue of a probability measure, is a basic notion of the theory of quantum structures, see e.g. [14]. However, for MV-algebras, the state as averaging

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Web1 de jan. de 2024 · The main goal of this paper is to investigate pseudo EQ-algebras with internal states. To begin with, we introduce the notion of pseudo EQ-algebras with internal state (simplify, ISPEQ-algebra) and study its properties. Moreover, we discuss the relation between ISPEQ-algebras and states on pseudo EQ-algebras. Web13 de fev. de 2024 · Abstract: States of MV-algebras have been the object of intensive study and attempts of generalizations. The aim of this contribution is to provide a …

Web@article{Liu2013OnTE, title={On the existence of states on MTL-algebras}, author={Lianzhen Liu}, journal={Inf. Sci.}, year={2013}, volume={220}, pages={559-567} } … WebR0-algebras [36], MTL-algebras [18], hoops [19] and residuated lattices [35], etc. ... method to check the existence of states on Glivenko semihoops. 123. 1148 P.Heetal. This paper is organized as follows: In Sect. 2, we review some results about semi …

Web25 de jun. de 2024 · The aim of this paper is to investigate the existence of Bosbach states and Riečan states on MTL-algebras. We prove that an MTL-algebra L has Bosbach … Web1 de out. de 2011 · The aim of this paper is to investigate the existence of Bosbach states and Riečan states on MTL-algebras. We prove that an MTL-algebra L has Bosbach …

WebThe aim of this paper is to introduce the notion of states on R 0 algebras and investigate some of their properties. We prove that every R 0 algebra possesses at least one state. Moreover, we investigate states on weak R 0 algebras and give some examples to show that, in contrast to R 0 algebras, there exist weak R 0 algebras which have no states. …

WebThis study analyzes whether Bitcoin, gold, oil, and stock have the ability to hedge against inflation in high cryptocurrency adoption countries in the periods from January 2010 to March 2024. It is hypothesized that the assets behave differently and thereby respond differently to inflation in different market conditions. Therefore, we employ the Markov … how much is the child benefit tax chargeWeb, On the existence of states on MTL-algebras, Inf. Sci. 220 (2013) 559 – 567. Google Scholar [15] Mundici D. , Averaging the truth value in Lukasiewicz sentential logic , Stud. Log. 55 ( 1995 ) 113 – 127 . how much is the chevy family discountWeb19 de abr. de 2016 · As we know, MTL-algebras are special cases of bounded semihoops. From Theorem 3.17, we can obtain that our definition of being Glivenko actually coincides, on MTL-algebras, with the definition given in Cignoli . Theorem 3.18. Bosbach states and Rie c̆ an states coincide on a semihoop satisfying GP. Proof how do i get a new safeway club cardWebAbstract. States of MV-algebras have been the object of intensive study and attempts of generalizations. The aim of this contribution is to provide a preliminary investigation for states of prelinear semihoops and hyperstates of algebras in the variety generated by perfect and involutive MTL-algebras (IBP0-algebras for short). how much is the chicken industry worthWeb1 de jan. de 2005 · It generalizes the usual probability measures on Boolean algebras. Consequently, the notion of states was extended to other logical algebras, such as BL … how do i get a new sainsburys nectar cardWebThese works generalize a series of existing results about existence of states in several algebras, such as residuated lattices, NM-algebras, MTL-algebras, BL-algebras and so on. How to cite: ISO 690: Xin, X., Ma, Y., Fu, Y. 2024. The existence of states on EQ-algebras. In Mathematica Slovaca, vol. 70, no.3, pp. 527-546. 0139-9918. how do i get a new shaw cable boxhttp://library.utia.cas.cz/separaty/2015/MTR/kroupa-0456237.pdf how much is the chicago tribune newspaper