Algebraically closed MV-algebras and their sheaf representation

Nola, Antonio Di; Ferraioli, Anna Rita; Lenzi, Giacomo

doi:10.1016/j.apal.2012.10.017

Annals of Pure and Applied Logic

2013

DOI: 10.1016/j.apal.2012.10.017

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Algebraically closed MV-algebras and their sheaf representation

Antonio Di Nola

Anna Rita Ferraioli

Giacomo Lenzi

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Cited by 3 publications

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“…Notice that this fact is also a consequence of a more general result from[7].3 This proof makes heavy use of several results from[3]. The reader interested in the details should consult the references mentioned above, and, in particular,[3, Chapter 7].…”

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confidence: 90%

An algebraic characterization of o-minimal and weakly o-minimal MV-chains

Lenzi

Marchioni

2014

Journal of Pure and Applied Algebra

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We present an algebraic characterization of both o-minimal and weakly ominimal MV-chains by showing that a linearly ordered MV-algebra is (1) o-minimal if and only if it is finite or divisible, and (2) weakly o-minimal if and only if its first-order theory admits quantifier elimination in the language ⊕, * , 0 if and only if Rad(A) is a divisible monoid and A/Rad(A) is either finite or divisible.

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confidence: 90%

An algebraic characterization of o-minimal and weakly o-minimal MV-chains

Lenzi

Marchioni

2014

Journal of Pure and Applied Algebra

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Structure and representation of semimodules over inclines

Bai

Yang

2020

Annals of Pure and Applied Logic

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Algebraically Closed Abelian l-Groups

Rump

2015

Mathematica Slovaca

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The paper provides an empirical analysis of the macroeconomic factors that enhance revenue gap in South Africa using the multivariate cointegration techniques for the period 1965 to 2012. The results from the cointegration analysis indicate that the revenue gap in South Africa is negatively associated with the level of imports while positively related to external debt and underground economy. The former finding is consistent with the notion that imports are subjected to more taxation than domestic activities because of certain features of international trade that tend to make tax evasion difficult. On the other hand, the positive relationship between external debt and tax gap shows that the South African government relies upon external debt to finance its budget deficit resulting from missing revenues. Furthermore, the observed negative effect of the post-apartheid dummy confirms that the tax policy reforms that South Africa introduced following the liberation in 1994 have led to a reduction in missing revenues. The results from the Granger causality test also show that there is a unidirectional causality running from imports and underground economy to revenue gap, while revenue gap on the other hand is found to Granger-cause national income and external debt in South Africa.

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Algebraically closed MV-algebras and their sheaf representation

Cited by 3 publications

References 7 publications

An algebraic characterization of o-minimal and weakly o-minimal MV-chains

An algebraic characterization of o-minimal and weakly o-minimal MV-chains

Structure and representation of semimodules over inclines

Algebraically Closed Abelian l-Groups

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