Results 51 to 60 of about 1,450 (155)
Semigroups in complete lattices: quantales, modules and related topics
, 2018 This monograph provides a modern introduction to the theory of quantales. First coined by C.J. Mulvey in 1986, quantales have since developed into a significant topic at the crossroads of algebra and logic, of notable interest to theoretical computer ...
Gutiérrez García, Javier, +11 more
core +1 more source
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
wiley +1 more source
$$\ell r$$-Multisemigroups, Modal Quantales and the Origin of Locality
, 2021 International audienceWe introduce lr-multisemigroups as duals of modal quantales and study modal correspondences between equations in these multisemigroups and the domain and codomain axioms of modal quantales.
Christian Johansen +9 more
core +1 more source
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
doaj +1 more source
Generalized Fuzzy Filters in Quantales and Their Approximations
Punjab University journal of mathematics, 2022 The present paper represents the behaviour of fuzzy filters and (α, β)-fuzzy filters in Quantale. The detailed study of relationship among crisp filter, fuzzy filters and (α, β)-fuzzy filters in quantale are discussed.
Saqib Mazher Qurashi, M. Shabir
semanticscholar +1 more source
Quantale-valued dissimilarity [PDF]
Fuzzy Sets and Systems, 2020 Inspired by the theory of apartness relations of Scott, we establish a positive theory of dissimilarity valued in an involutive quantale $\mathsf{Q}$ without the aid of negation. It is demonstrated that a set equipped with a $\mathsf{Q}$-valued dissimilarity is precisely a symmetric category enriched in a subquantaloid of the quantaloid of back ...
Hongliang Lai +3 more
openaire +2 more sources
Groupoid quantales: A non-étale setting [PDF]
, 2011 We establish a bijective correspondence involving a class of unital involutive quantales and a class of groupoids whose space of units is a sober space. This class includes equivalence relations that arise from group actions. The resulting axiomatization
Alessandra Palmigiano +5 more
core +1 more source
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
wiley +1 more source
Tropological systems are points of quantales [PDF]
, 2002 We address two areas in which quantales have been used. One is of a topological nature, whereby quantales or involutive quantales are seen as generalized noncommutative spaces, and its main purpose so far has been to investigate the spectrum of ...
Resende, Pedro
core +1 more source
Localization and Flatness in Quantale Theory
MathematicsThe study of flat ring morphisms is an important theme in commutative algebra. The purpose of this article is to develop an abstract theory of flatness in the framework of coherent quantales.
George Georgescu
doaj +1 more source