Results 101 to 110 of about 1,450 (155)
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Quantale algebras as lattice-valued quantales
Soft Computing, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bin Zhao, Supeng Wu, Kaiyun Wang
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Topological representation and quantic separation axioms of semi-quantales [PDF]
Journal of the Egyptian Mathematical Society, 2016 An adjunction between the category of semi-quantales and the category of lattice-valued quasi-topological spaces is established. Some characterizations of quantic separation axioms, for semi-quantales and lattice-valued quasi-topological spaces, are ...
Kamal El-Saady
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Information Sciences, 2013
Rough set theory is a useful mathematical tool for dealing with the uncertainty and granularity in information systems. In this paper, rough approximations are introduced into quantales, a kind of partially ordered algebraic structure with an associative binary multiplication.
Lingyun Yang, Luoshan Xu
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Rough set theory is a useful mathematical tool for dealing with the uncertainty and granularity in information systems. In this paper, rough approximations are introduced into quantales, a kind of partially ordered algebraic structure with an associative binary multiplication.
Lingyun Yang, Luoshan Xu
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On sheaves on semicartesian quantales and their truth values
Journal of Logic and Computation, 2022In this paper, we introduce a new definition of sheaves on semicartesian quantales, providing first examples and categorical properties. We note that our sheaves are similar to the standard definition of a sheaf on a locale; however, we prove that in ...
A. Ten'orio +2 more
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1995
In this paper, we investigate the ideas involved in extending to the non-commutative case the concepts of presheaf and sheaf on a locale. The context within which we shall work will be that of quantales, introduced by the first author [10, 11] to provide a framework for the development of the Gelfand representation of not necessarily commutative C ...
C. J. Mulvey, M. Nawaz
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In this paper, we investigate the ideas involved in extending to the non-commutative case the concepts of presheaf and sheaf on a locale. The context within which we shall work will be that of quantales, introduced by the first author [10, 11] to provide a framework for the development of the Gelfand representation of not necessarily commutative C ...
C. J. Mulvey, M. Nawaz
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Construction of unital quantales
Canadian mathematical bulletinUnital quantales constitute a significant subclass within quantale theory, which play a crucial role in the theoretical framework of quantale research. The main purpose of this article is to investigate the construction of unital quantales from a given ...
Sheng-Wei Han, Ji-Rong Lv
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Applied Categorical Structures, 2002
The paper gives an appropriate notion of a prime element of a quantale and characterizes spatial quantales as those quantales having enough primes. This result solves a problem stated by \textit{J. W. Pelletier} and the reviewer [``Simple involutive quantales'', J. Algebra 195, 367-386 (1997; Zbl 0894.06005)].
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The paper gives an appropriate notion of a prime element of a quantale and characterizes spatial quantales as those quantales having enough primes. This result solves a problem stated by \textit{J. W. Pelletier} and the reviewer [``Simple involutive quantales'', J. Algebra 195, 367-386 (1997; Zbl 0894.06005)].
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Frobenius Quantales, Serre Quantales and the Riemann–Roch Theorem
Studia Logica, 2021\par A quantale \(Q\) is a \(\bigvee\)-semilattice equipped with an associative binary operation \(\otimes:Q\times Q\rightarrow Q\) distributing over \(\bigvee\) from both sides, i.e., \(a\otimes(\bigvee S)=\bigvee_{s\in S}(a\otimes s)\) and \((\bigvee S)\otimes a=\bigvee_{s\in S}(s\otimes a)\) for every \(a\in Q\) and every \(S\subseteq Q\).
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Generalized roughness of fuzzy substructures in quantales with respect to soft relations
Journal of Intelligent & Fuzzy Systems, 2021In this work, we have proposed a new relationship among rough set, soft set and quantales with the help of soft compatible relation. This typical relationship is used to approximate the fuzzy substructures in quantales in association with soft compatible
S. Qurashi +3 more
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Applied Categorical Structures, 2003
The author introduces distributive quantales and shows that (a) every spatial quantale is distributive and (b) every algebraic distributive quantale is spatial.
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The author introduces distributive quantales and shows that (a) every spatial quantale is distributive and (b) every algebraic distributive quantale is spatial.
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