Results 1 to 10 of about 914 (176)
Structure of the (Total) Transformation Monoids Under Rank N Generators [version 2; peer review: 2 approved] [PDF]
F1000ResearchThroughout this paper our study focuses on transformation semigroups. These kinds of semigroups are the corner stone of semigroup theory. This is because every semigroup is isomorphic to transformation semigroup.
Asawer Al-Aadhami, Hala M. Sulaiman
doaj +2 more sources
Stone duality, topological algebra, and recognition [PDF]
Journal of Pure and Applied Algebra, 2016 Our main result is that any topological algebra based on a Boolean space is the extended Stone dual space of a certain associated Boolean algebra with additional operations. A particular case of this result is that the profinite completion of any abstract algebra is the extended Stone dual space of the Boolean algebra of recognizable subsets of the ...
Mai Gehrke
exaly +4 more sources
Characterization of Anisotropic Salt Weathering through Nondestructive Techniques Mapping Using a GIS Environment [PDF]
SensorsDoctrinal texts on architectural heritage conservation emphasize the importance of fully understanding the structural and material characteristics and utilizing information systems.
Miguel Gomez-Heras +5 more
doaj +2 more sources
Logics of Involutive Stone Algebras [PDF]
Soft Computing, 2021 Abstract An involutive Stone algebra (IS-algebra) is a structure that is simultaneously a De Morgan algebra and a Stone algebra (i.e. a pseudo-complemented distributive lattice satisfying the well-known Stone identity, ∼ x ∨ ∼ ∼ x ≈ 1). IS-algebras have been studied algebraically and topologically since the 1980’s, but a corresponding logic ...
Sérgio Marcelino, Umberto Rivieccio
openaire +2 more sources
Reticulation of Quasi-commutative Algebras [PDF]
Journal of Mahani Mathematical Research, 2023 The commutator theory, developed by Fresee and McKenzie in the framework of a congruence-modular variety $\mathcal{V}$, allows us to define the prime congruences of any algebra $A\in \mathcal{V}$ and the prime spectrum $Spec(A)$ of $A$.
G. Georgescu
doaj +1 more source
Bulletin of Mathematical Sciences, 2023 Perfect C∗-algebras were introduced by Akeman and Shultz in [Perfect C*-algebras, Mem. Amer. Math. Soc. 55(326) (1985)] and they form a certain subclass of C*-algebras determined by their pure states, and for which the general Stone–Weierstrass ...
Fatmah B. Jamjoom
doaj +1 more source
Pseudo o-Minimality for Double Stone Algebras [PDF]
Mathematics Interdisciplinary Research, 2023 Pseudo o-minimality is a generalization of o-minimality of linear orders to partial orders. Recently Lei Chen, Niandong Shi and Guohua Wu provided pseudo o-minimality for the class of Stone algebras. In this note we use quantifier elimination property to
Farhad Jahanian, Jafar Sadegh Eivazloo
doaj +1 more source
Regular and Boolean elements in hoops and constructing Boolean algebras using regular filters
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023 We study hoops in order to give some new characterizations for regular and Boolean elements in hoops and we study the relationship between them. Specially, we prove that any bounded v-hoop is a Stone algebra if and only if MV -center set and Boolean ...
Aaly Kologani M. +2 more
doaj +1 more source
Colourful Poincaré symmetry, gravity and particle actions
Journal of High Energy Physics, 2021 We construct a generalisation of the three-dimensional Poincaré algebra that also includes a colour symmetry factor. This algebra can be used to define coloured Poincaré gravity in three space-time dimensions as well as to study generalisations of ...
Joaquim Gomis +3 more
doaj +1 more source
The Reticulation of a Universal Algebra [PDF]
Scientific Annals of Computer Science, 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.
G. Georgescu, C. Mureșan
doaj +1 more source