Search results for "Jordan"
showing 10 items of 59 documents
Ordinary and graded cocharacter of the Jordan algebra of 2x2 upper triangular matrices
2014
Abstract Let F be a field of characteristic zero and U J 2 ( F ) be the Jordan algebra of 2 Ă 2 upper triangular matrices over F . In this paper we give a complete description of the space of multilinear graded and ordinary identities in the language of Young diagrams through the representation theory of a Young subgroup of S n . For every Z 2 -grading of U J 2 ( F ) we compute the multiplicities in the graded cocharacter sequence and furthermore we compute the ordinary cocharacter.
Extended-order algebras as a generalization of posets
2011
Motivated by the recent study of several researchers on extended-order algebras, introduced by C. Guido and P. Toto as a possible common framework for the majority of algebraic structures used in many-valued mathematics, the paper focuses on the properties of homomorphisms of the new structures, considering extended-order algebras as a generalization of partially ordered sets. The manuscript also introduces the notion of extended-relation algebra providing a new framework for developing the theory of rough sets.
A proof of Carleson's đ2-conjecture
2021
In this paper we provide a proof of the Carleson đ2-conjecture. This result yields a characterization (up to exceptional sets of zero length) of the tangent points of a Jordan curve in terms of the finiteness of the associated Carleson đ2-square function. peerReviewed
Perturbations of Jordan Blocks
2019
In this chapter we shall study the spectrum of a random perturbation of the large Jordan block A0, introduced in Sect. 2.4: $$\displaystyle A_0=\begin {pmatrix}0 &1 &0 &0 &\ldots &0\\ 0 &0 &1 &0 &\ldots &0\\ 0 &0 &0 &1 &\ldots &0\\ . &. &. &. &\ldots &.\\ 0 &0 &0 &0 &\ldots &1\\ 0 &0 &0 &0 &\ldots &0 \end {pmatrix}: {\mathbf {C}}^N\to {\mathbf {C}}^N. $$ Zworski noticed that for every z â D(0, 1), there are associated exponentially accurate quasimodes when N ââ. Hence the open unit disc is a region of spectral instability. We have spectral stability (a good resolvent estimate) in \(\mathbf {C}\setminus \overline {D(0,1)}\), since â„A0â„ = 1. Ï(A0) = {0}.
Ziziphora tenuior L. essential oil from Dana Biosphere Reserve (Southern Jordan); chemical characterization and assessment of biological activities
2016
Abstract Ethnopharmacologic relevance Ziziphora tenuior L. (Lamiaceae) is a medicinal plant in Jordan, which is included in various antimicrobial, antiseptic, expectorant and wound healing preparations. It is used for the treatment of cough, stomach ache, dysentery, fever, uterus infection, gut inflammation and painful menstruation. Aim of the study The aim of this study was to assess, for the first time, the chemical composition of the essential oil of Z. tenuior originated from southern Jordan and its antifungal effects against several yeasts. Concomitantly, the mechanisms behind the anti-fungal activity against Candida albicans were also disclosed. Since the Z. tenuior traditional uses aâŠ
Lattices of Jordan algebras
2010
AbstractCommutative Jordan algebras play a central part in orthogonal models. The generations of these algebras is studied and applied in deriving lattices of such algebras. These lattices constitute the natural framework for deriving new orthogonal models through factor aggregation and disaggregation.
Les paradoxes de l'emploi féminin sur le pourtour méditérranéen
2012
Cette invitation originale à un voyage sur le pourtour de la Méditerranée permet de mieux appréhender les raisons de la colÚre des jeunes. L'analyse comparative dans quatorze pays révÚle les paradoxes de l'emploi féminin dans des contextes sociaux, démographiques, culturels et économiques, plus ou moins distants, à la lumiÚre de données statistiques les plus récentes. Ces contrées reflÚtent une image pessimiste : en écho d'une segmentation du marché du travail, le chÎmage frappe particuliÚrement la jeunesse, les itinéraires des jeunes femmes ressemblent à un dédale d'incertitudes et de contradictions. Pourtant, certains pays leur offrent davantage d'opportunités.
Varieties of special Jordan algebras of almost polynomial growth
2019
Abstract Let J be a special Jordan algebra and let c n ( J ) be its corresponding codimension sequence. The aim of this paper is to prove that in case J is finite dimensional, such a sequence is polynomially bounded if and only if the variety generated by J does not contain U J 2 , the special Jordan algebra of 2 Ă 2 upper triangular matrices. As an immediate consequence, we prove that U J 2 is the only finite dimensional special Jordan algebra that generates a variety of almost polynomial growth.
Matrix algebras of polynomial codimension growth
2007
We study associative algebras with unity of polynomial codimension growth. For any fixed degree $k$ we construct associative algebras whose codimension sequence has the largest and the smallest possible polynomial growth of degree $k$. We also explicitly describe the identities and the exponential generating functions of these algebras.
Relationships between core self-evaluation, leader empowering behavior, and job security among Jordan University Hospital nurses
2021
Nurses are facing real stressors due to patientsâ needs and leadersâ demands. The aim of this study is to explore the perceived level of core self-evaluation (CSE), leader empowering behavior (LEB), and job security among Jordan University Hospital nurses in Amman, the capital of Jordan. Furthermore, it investigates the relationship between the selected variables. Differences of gender, educational level, experience, and site of work are also examined with job security. Moreover, it evaluates the contribution of CSE, LEB, gender, educational level, experience, and site of work in predicting job security among Jordan University Hospital nurses. A descriptive cross-sectional design was adopteâŠ