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Dokdo sub-hoops and Dokdo filters of hoops
2023Summary: The concepts of Dokdo sub-hoops and Dokdo filters are introduced, and their properties are investigated. The relationship between Dokdo sub-hoops and Dokdo filters is discussed, and characterizations of Dokdo sub-hoops and Dokdo filters are established.
Song, S. Z., Jun, Y. B.
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Journal of Logic and Computation, 2003
In this paper we investigate the falsehood-free fragments of main residuated fuzzy logics related to continuous t-norms (HaÌ?jek's Basic fuzzy logic BL and some well-known axiomatic extensions), and we relate them to the varieties of 0-free subreducts of the corresponding algebras. These turn out to be classes of algebraic structures known as hoops. We
Francesc Esteva +3 more
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In this paper we investigate the falsehood-free fragments of main residuated fuzzy logics related to continuous t-norms (HaÌ?jek's Basic fuzzy logic BL and some well-known axiomatic extensions), and we relate them to the varieties of 0-free subreducts of the corresponding algebras. These turn out to be classes of algebraic structures known as hoops. We
Francesc Esteva +3 more
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Quasi-pseudo-hoops: an extension to pseudo-hoops
J. Multiple Valued Log. Soft Comput., 2022Summary: In this paper, we introduce the notion of quasi-pseudo-hoops (\(qp\)-hoops, for short) as the generalization of pseudo-hoops. First we give some new notions in order to define \(qp\)-hoops. We investigate the basic properties of \(qp\)-hoops and also prove that any \(qp\)-hoop has the Riesz Decomposition Property. Second we discuss filters of \
Wenjuan Chen +2 more
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New Mathematics and Natural Computation, 2023
In this paper, we apply the theory of modules on hoops and introduce two concepts of modules on hoops and provide special examples and interesting results. Both concepts are correct and logical. The first concept is very close to the definition of module in abstract algebra.
Rajab Ali Borzooei +2 more
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In this paper, we apply the theory of modules on hoops and introduce two concepts of modules on hoops and provide special examples and interesting results. Both concepts are correct and logical. The first concept is very close to the definition of module in abstract algebra.
Rajab Ali Borzooei +2 more
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Fuzzy Sets and Systems
The relationship between MV-algebras and Bézout domains was first explored in [31,29,30]. In this paper, we build upon those studies to extend the results to Wajsberg hoops. We begin by examining Wajsberg hoops as (weak) filters of MV-algebras. We establish a representation for every Wajsberg hoop as a subdirect product of a cancellative hoop and a ...
Dvurečenskij, Anatolij, Zahiri, Omid
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The relationship between MV-algebras and Bézout domains was first explored in [31,29,30]. In this paper, we build upon those studies to extend the results to Wajsberg hoops. We begin by examining Wajsberg hoops as (weak) filters of MV-algebras. We establish a representation for every Wajsberg hoop as a subdirect product of a cancellative hoop and a ...
Dvurečenskij, Anatolij, Zahiri, Omid
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J. Multiple Valued Log. Soft Comput., 2005
\textit{B. Bosbach}'s pioneering papers on various classes of semigroups were largely unnoticed: among others he introduced ``complementary semigroups'' (today known as pseudo-hoops): a deep investigation of these structures is found in his papers ``Komplementäre Halbgruppen. Axio\-ma\-tik und Arithmetik'' [Fundam. Math.
George Georgescu +2 more
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\textit{B. Bosbach}'s pioneering papers on various classes of semigroups were largely unnoticed: among others he introduced ``complementary semigroups'' (today known as pseudo-hoops): a deep investigation of these structures is found in his papers ``Komplementäre Halbgruppen. Axio\-ma\-tik und Arithmetik'' [Fundam. Math.
George Georgescu +2 more
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2022
From its early days as a sport to build “muscular Christianity” among young men flooding nineteenth-century cities to its position today as a global symbol of American culture, basketball has been a force in American society. It grew through high school gymnasiums, college pep rallies, and the fits and starts of professionalization. It was a playground
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From its early days as a sport to build “muscular Christianity” among young men flooding nineteenth-century cities to its position today as a global symbol of American culture, basketball has been a force in American society. It grew through high school gymnasiums, college pep rallies, and the fits and starts of professionalization. It was a playground
openaire +1 more source