Results 51 to 60 of about 576 (163)
The points and diameters of quantales
Open Mathematics, 2018 In this paper, we investigate some properties of points on quantales. It is proved that the two sided prime elements are in one to one correspondence with points.
Liang Shaohui
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Abstract and Applied Analysis, Volume 2013, Issue 1, 2013., 2013 The aim of this paper is to generalize fuzzy continuous posets. The concept of fuzzy subset system on fuzzy posets is introduced; some elementary definitions such as fuzzy Z‐continuous posets and fuzzy Z‐algebraic posets are given. Furthermore, we try to find some natural classes of fuzzy Z‐continuous maps under which the images of such fuzzy algebraic
S. P. Rao, Q. G. Li, Stefan Siegmund
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Some topological aspects of ideals in quantales
Applied General TopologyAs a natural extension of the ongoing development of a theory of ideals in commutative quantales with an identity element, this article aims to study into the analysis of certain topological properties exhibited by distinguished classes of ideals.
Amartya Goswami
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Lax Extensions of Conical
Axioms, 2023 For a quantale I, the unit interval endowed with a continuous triangular norm, we introduce the canonical, op-canonical and Kleisli extensions of the conical I-semifilter monad to I-Rel.
Gao Zhang, Shao-Qun Zhang
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Reflective Full Subcategories of the Category of L‐Posets
Abstract and Applied Analysis, Volume 2012, Issue 1, 2012., 2012 This paper focuses on the relationship between L‐posets and complete L‐lattices from the categorical view. By considering a special class of fuzzy closure operators, we prove that the category of complete L‐lattices is a reflective full subcategory of the category of L‐posets with appropriate morphisms.
Hongping Liu +3 more
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International Journal of Mathematics and Mathematical Sciences, Volume 2007, Issue 1, 2007., 2007 This paper deals with a broad question—to what extent is topology algebraic—using two specific questions: (1) what are the algebraic conditions on the underlying membership lattices which insure that categories for topology and fuzzy topology are indeed topological categories; and (2) what are the algebraic conditions which insure that algebraic ...
S. E. Rodabaugh, Robert Lowen
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On the necessity of quantal assumptions. Questions to the quantal theory
Journal of Phonetics, 1989 In this paper several questions to Stevens’ quantal theory are formulated. The concept of quantal behaviour will certainly prove its applicability in a theory that relates phonetic and phonological units. However, we do not fully agree with Stevens’ reasoning. One of our objections to his quantal theory deals with the difficulty of its verification. We
ten Bosch, L.F.M., Pols, L.C.W.
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Symmetric Monoidal Structure with Local Character is a Property [PDF]
Electronic Proceedings in Theoretical Computer Science, 2019 In previous work we proved that, for categories of free finite-dimensional modules over a commutative semiring, linear compact-closed symmetric monoidal structure is a property, rather than a structure.
Stefano Gogioso, Dan Marsden, Bob Coecke
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International Journal of Mathematics and Mathematical Sciences, Volume 19, Issue 4, Page 759-766, 1996., 1995 The collection of fuzzy subsets of a set X forms a complete lattice that extends the complete lattice 𝒫(X) of crisp subsets of X. In this paper, we interpret this extension as a special case of the fuzzification of an arbitrary complete lattice A. We show how to construct a complete lattice F(A, L) the L‐fuzzificatio of A, where L is the valuation ...
Arturo A. L. Sangalli
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Open Mathematics, 2016 A quantale is a complete lattice equipped with an associative binary multiplication distributing over arbitrary joins. We define the notions of right (left, two) sided derivation and idempotent derivation and investigate the properties of them. It’s well
Xiao Qimei, Liu Wenjun
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