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Odd and even derivations, transposed Poisson superalgebra and 3-Lie superalgebra [PDF]

Proceedings of the Estonian Academy of Sciences
One important example of a transposed Poisson algebra can be constructed by means of a commutative algebra and its derivation. This approach can be extended to superalgebras; that is, one can construct a transposed Poisson superalgebra given a ...
Viktor Abramov, Nikolai Sovetnikov
doaj +1 more source

Triality Groups Associated with Triple Systems and their Homotope Algebras

Annales Mathematicae Silesianae, 2021
We introduce the notion of an (α, β, γ) triple system, which generalizes the familiar generalized Jordan triple system related to a construction of simple Lie algebras. We then discuss its realization by considering some bilinear algebras and vice versa.
Kamiya Noriaki
doaj +1 more source

Oldest well‐preserved euprimate petrosal, from the early Eocene of India (Vastan Lignite Mine, Gujarat)

The Anatomical Record, EarlyView.
Abstract An exquisitely preserved, isolated partial petrosal with associated fragmentary stapes is described from the Vastan Lignite Mine (Gujarat, India), dated to the early Eocene (~54.5 Ma). Several anatomical traits (e.g., large petrosal plate; posterolateral entry of the internal carotid artery to the tympanic cavity; bony tubes surrounding the ...
Mary T. Silcox +8 more
wiley +1 more source

Archaeological Damage Assessment in Conflict Zones: Integrating Satellite Imagery and Ground Surveys in Daraa, Syria

Archaeological Prospection, EarlyView.
ABSTRACT Satellite remote sensing is among the most significant modern methodologies supporting field archaeology. In addition to its efficiency in identifying archaeological sites, remote sensing offers a safe and cost‐effective approach in conflict zones.
Amal Al Kassem +5 more
wiley +1 more source

Generalized Projective product of semi-rings

Wasit Journal of Computer and Mathematics Science
The concept of Differential algebra has been played an influential role in various directions of abstract algebra. This notation has been considered before fifty years ago with semi-ring and several types of rings.
mohd Shahoodh
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Ixekizumab With Tirzepatide Achieved Greater Disease Control Than Ixekizumab Alone in Adults With Psoriatic Arthritis and Overweight or Obesity: Results From a Randomized Clinical Trial

Arthritis &Rheumatology, EarlyView.
Objective Overweight or obesity is prevalent in 72% to 82% of individuals with psoriatic arthritis (PsA). We assessed the efficacy and safety of ixekizumab (IXE) concomitantly administered with tirzepatide (TZP) compared with IXE alone in adult participants with active PsA and overweight with at least one weight‐related comorbidity or obesity.
Joseph F. Merola +14 more
wiley +1 more source

Nonlinear Mixed Skew Jordan-Type Higher Derivations on ∗-Algebras

Axioms
Let A be a unital ∗-algebra containing a nontrivial projection P. In this paper, we introduce the notion of a nonlinear mixed skew Jordan-type derivation (that is, pnS1,S2,S3,⋯,Sn=S1⋄S2•S3•⋯•Sn, where S⋄K=S*K+K*S and S•K=SK+KS* for all S,K∈A) and show ...
Yimeng Yue, Liang Kong, Fenhong Li, Fugang Chao +3 more
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Higher complement C4 gene copy number constitutes a shared genetic risk factor for giant cell arteritis and IgA vasculitis

Arthritis &Rheumatology, Accepted Article.
Objective Low copy number (CN) of complement C4 isoforms and high CN of retroviral HERV‐K elements are known risk factors for many immune‐mediated inflammatory diseases (IMIDs), often showing sex‐biased effects. Here, we assessed whether CN variation within the C4 gene contributes to giant cell arteritis (GCA) and IgA vasculitis (IgAV), two complex ...
Laura Martínez‐Gutiérrez +296 more
wiley +1 more source

Systematic review and scoring‐based selection of pharmacokinetic models for precision dosing of vancomycin in neonates and children

British Journal of Clinical Pharmacology, EarlyView.
This systematic review identified 112 population pharmacokinetic models of vancomycin in neonates and children. To support rational model selection for model‐informed precision, we developed and applied expert‐driven, transparent criteria that integrate both methodological rigour and clinical relevance.
Zoë Vander Elst +8 more
wiley +1 more source

JORDAN $\epsilon$-HOMOMORPHISMS AND JORDAN $\epsilon$-DERIVATIONS

Taiwanese Journal of Mathematics, 2005
Herstein’s theorems on Jordan homomorphisms and Jordan derivations on prime associative algebras are extended to graded prime associative algebras.
openaire +2 more sources

derivations, actions of lie algebras
derivation
mathematics

16w25
prime and semiprime associative rings
fos: mathematics

prime ring
jordan derivations
jordan algebra