Zobrazeno 1 - 10
of 64
pro vyhledávání: '"Karim Boulabiar"'
Autor:
Karim Boulabiar
Publikováno v:
Categories and General Algebraic Structures with Applications, Vol 10, Iss 1, Pp 1-15 (2018)
We call a local vector lattice any vector lattice with a distinguished positive strong unit and having exactly one maximal ideal (its radical). We provide a short study of local vector lattices. In this regards, some characterizations of local vector
Externí odkaz:
https://doaj.org/article/508c72dfd8244f5a9b2f87bf941d0f12
Autor:
Karim Boulabiar, Rawaa Hajji
Publikováno v:
Quaestiones Mathematicae. :1-5
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::67a18644529dda194a8560ee8591b011
https://doi.org/10.2989/16073606.2022.2074910
https://doi.org/10.2989/16073606.2022.2074910
Autor:
Karim Boulabiar, Rawaa Hajji
Publikováno v:
Mediterranean Journal of Mathematics. 19
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::703118131b5208daa8f63b585f68c1cf
https://doi.org/10.1007/s00009-022-02115-1
https://doi.org/10.1007/s00009-022-02115-1
Autor:
Karim Boulabiar, Rawaa Hajji
Publikováno v:
Positivity. 25:1449-1468
We introduce the notion of (maximal) multi-truncations on a vector lattice as a generalization of the notion of truncations, an object of recent origin. We obtain a Johnson–Kist type representation of vector lattices with maximal multi-truncations
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::359ea1adf965f7fcc655fbe9abd7b331
https://doi.org/10.1007/s11117-021-00824-7
https://doi.org/10.1007/s11117-021-00824-7
Publikováno v:
Positivity. 25:1267-1272
Recently, Wickstead investigated the long-standing problem of adding an identity to a non-unital Banach lattice algebra. In this regard, he proved that, in the category whose objects are unital Banach lattice algebras and morphisms are identity prese
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3607190b86de81112fdf5537e7eaad90
https://doi.org/10.1007/s11117-021-00814-9
https://doi.org/10.1007/s11117-021-00814-9
Autor:
Rawaa Hajji, Karim Boulabiar
Publikováno v:
Indagationes Mathematicae. 31:741-757
Following a recent idea by Ball, we introduce the notion of strongly truncated Riesz space with a suitable spectrum. We prove that, under an extra Archimedean type condition, any strongly truncated Riesz space is isomorphic to a uniformly dense Riesz
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c21174b72e7bdf8087612871bbef9d64
https://doi.org/10.1016/j.indag.2020.03.005
https://doi.org/10.1016/j.indag.2020.03.005
Autor:
Karim Boulabiar, Sameh Bououn
Publikováno v:
Annals of Functional Analysis. 12
Let X be a nonempty set. A vector sublattice L of $$\mathbb {R}^{X}$$ is said to be truncated if L contains with any function f the function $$ f\wedge \mathbf {1}_{X}$$ . A nonzero linear functional $$\psi $$ on L is called a truncation homomorphism
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a476df99fc4d31877704577ba2b546c8
https://doi.org/10.1007/s43034-020-00096-4
https://doi.org/10.1007/s43034-020-00096-4
Autor:
Samir Smiti, Karim Boulabiar
Publikováno v:
Mathematica Slovaca. 68:299-310
Let G be an abelian ℓ-group with a strong order unit u > 0. We call G u-clean after Hager, Kimber, and McGovern if every element of G can be written as a sum of a strong order unit of G and a u-component of G. We prove that G is u-clean if and only
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::cbc01fa2ddfb10a24de4212b04e7cb9a
https://doi.org/10.1515/ms-2017-0101
https://doi.org/10.1515/ms-2017-0101
Autor:
Chiheb El Adeb, Karim Boulabiar
Publikováno v:
Algebra universalis. 78:93-104
Recently, Ball defined a truncated $${\ell}$$ -group to be an $${\ell}$$ -group G along with a truncation. We constructively prove that if G is a truncated $${\ell}$$ -group, then the direct sum $${G \oplus \mathbb{Q}}$$ is equipped with a structure
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a0ab73327f9489e6de51ede7d3a3a68a
https://doi.org/10.1007/s00012-017-0444-1
https://doi.org/10.1007/s00012-017-0444-1
Autor:
Hamza Hafsi, Karim Boulabiar
Truncated Riesz spaces was first introduced by Fremlin in the context of real-valued functions. An appropriate axiomatization of the concept was given by Ball. Keeping only the first Ball's Axiom (among three) as a definition of truncated Riesz space
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7ba562aef82eabfe8399817a81343b84
http://arxiv.org/abs/1910.11715
http://arxiv.org/abs/1910.11715
