Results 11 to 20 of about 186,981,866 (59)
Semidegenerate Congruence-modular Algebras Admitting a Reticulation [PDF]
, 2023 The reticulation L(R) of a commutative ring R was introduced by Joyal in 1975, then the theory was developed by Simmons in a remarkable paper published in 1980. L(R) is a bounded distributive algebra whose main property is that the Zariski prime spectrum
George Georgescu
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Quantale-valued Cauchy tower spaces and completeness [PDF]
, 2021 [EN] Generalizing the concept of a probabilistic Cauchy space, we introduce quantale-valued Cauchy tower spaces. These spaces encompass quantale-valued metric spaces, quantale-valued uniform (convergence) tower spaces and quantale-valued convergence ...
Ahsanullah, T. M. G., Jäger, Gunther
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Characterization of quantale-valued metric spaces and quantale-valued partial metric spaces by convergence [PDF]
, 2018 We identify two categories of quantale-valued convergence tower spaces that are isomorphic to the categories of quantale-valued metric spaces and quantale-valued partial metric spaces, respectively.
Ahsanullah, T. M. G. +3 more
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A remark on the quantale structure of multisets [PDF]
, 1997 The set P* (I) of finite multisets on a set J has a natural quantale structure. In this note we study the quantic nuclei of this quantale, and show that they are parametrized by those subsets of the infinite multisets P** (I) whose elements are mutually ...
Arase, T., Arase, T
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Algebraic Properties of the Category of Q-P Quantale Modules [PDF]
, 2013 In this paper, the definition of a Q-P quantale module and some relative concepts were introduced. Based on which, some properties of the Q-P quantale module, and the structure of the free Q-P quantale modules generated by a set were obtained.
LIANG, Shaohui
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Propositional Logics for the Lawvere Quantale [PDF]
, 2023 Lawvere showed that generalised metric spaces are categories enriched over $[0, \infty]$, the quantale of the positive extended reals. The statement of enrichment is a quantitative analogue of being a preorder.
Bacci, Giorgio +5 more
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A duality of quantale-enriched categories [PDF]
, 2012 We describe a duality for quantale-enriched categories that extends the Lawson duality for continuous dcpos: for any saturated class J of modules that commute with certain weighted limits, and under an appropriate choice of morphisms, the category of J ...
Waszkiewicz, Paweł, Hofmann, Dirk
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The Reticulation of a Universal Algebra [PDF]
, 2018 The reticulation of an algebra A is a bounded distributive lattice L(A) whose prime spectrum of filters or ideals is homeomorphic to the prime spectrum of congruences of A, endowed with the Stone topologies.
C. Mureșan, G. Georgescu
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Functorial Properties of the Reticulation of a Universal Algebra [PDF]
, 2021 The reticulation of an algebra A is a bounded distributive lattice whose prime spectrum of ideals (or filters), endowed with the Stone topology, is homeomorphic to the prime spectrum of congruences of A, with its own Stone topology.
Georgescu, George, Mureşan, Claudia
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, 2023 This research paper has developed a way of roughness of fuzzy substructures by using soft relations for developing rough fuzzy substructures in Quantale module. Thus, an innovative concept of fuzzy substructures of Quantale module under rough environment
Saqib Mazher Qurashi +4 more
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