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PRIMITIVE IDEALS AND PURE INFINITENESS OF ULTRAGRAPH C<sup>⁎</sup>-ALGEBRAS
Larki, Hossein Korean Mathematical Society 2019 대한수학회지 Vol.56 No.1
Let ${\mathcal{G}}$ be an ultragraph and let $C^*({\mathcal{G}})$ be the associated $C^*$-algebra introduced by Tomforde. For any gauge invariant ideal $I_{(H,B)}$ of $C^*({\mathcal{G}})$, we approach the quotient $C^*$-algebra $C^*({\mathcal{G}})/I_{(H,B)}$ by the $C^*$-algebra of finite graphs and prove versions of gauge invariant and Cuntz-Krieger uniqueness theorems for it. We then describe primitive gauge invariant ideals and determine purely infinite ultragraph $C^*$-algebras (in the sense of Kirchberg-Rørdam) via Fell bundles.
Primitive ideals and pure infiniteness of ultragraph $C^*$-algebras
Hossein Larki 대한수학회 2019 대한수학회지 Vol.56 No.1
Let $\mathcal {G}$ be an ultragraph and let $C^*(\mathcal {G})$ be the associated $C^*$-algebra introduced by Tomforde. For any gauge invariant ideal $I_{(H,B)}$ of $C^*(\mathcal {G})$, we approach the quotient $C^*$-algebra $C^*(\mathcal {G})/I_{(H,B)}$ by the $C^*$-algebra of finite graphs and prove versions of gauge invariant and Cuntz-Krieger uniqueness theorems for it. We then describe primitive gauge invariant ideals and determine purely infinite ultragraph $C^*$-algebras (in the sense of Kirchberg-R{\o}rdam) via Fell bundles.
Pourmoslemi Shabnam,Larki-Harchegani Amir,Daneshyar Sajad,Dastan Dara,Nili-Ahmadabadi Amir,Jazaeri Mina 대한약침학회 2023 Journal of pharmacopuncture Vol.26 No.2
Objectives: Dental caries is a prevalent chronic human infection worldwide and several plants have shown anticariogenic properties through antibacterial activity against oral pathogens. The present study aimed to assess anticariogenic activity of Verbascum speciosum, in search of novel agents for the prevention and treatment of dental caries. Methods: Hydro-alcoholic extracts from flowers and total aerial parts of the plant were prepared by maceration. Antibacterial activity of the extracts against Streptococcus mutans (ATCC 35668) and Streptococcus sobrinus (ATCC 27607) was investigated by agar diffusion and microdilution techniques. Inhibitory concentration-fifty values of the flowers’ extract against Streptococcus mutans glucosyltransferase enzymes were determined. The total flavonoid content of the extracts was determined using an aluminum chloride reaction. Results: Verbascum speciosum flowers’ extract showed significantly higher flavonoid content and antibacterial activity; with minimum inhibitory concentrations of 100 and 200 µg/mL for Streptococcus mutans and Streptococcus sobrinus, respectively. The extract inhibited the synthesis of glucan by cell-associated and extracellular glucosyltransferase enzymes in a dose-dependent manner with higher activity against the extracellular enzyme. Conclusion: This study indicated effective anticariogenic activity of Verbascum speciosum flowers extract. This extract can be considered as an alternative to current anticaries therapies or an additive to dental care products.
The Leavitt Path Algebras of Ultragraphs
Imanfar, Mostafa,Pourabbas, Abdolrasoul,Larki, Hossein Department of Mathematics 2020 Kyungpook mathematical journal Vol.60 No.1
We introduce the Leavitt path algebras of ultragraphs and we characterize their ideal structures. We then use this notion to introduce and study the algebraic analogy of Exel-Laca algebras.
Shahin Gavanji,Behrouz Larki,Azizollah Bakhtari 한국한의학연구원 2014 Integrative Medicine Research Vol.3 No.2
Background: Herbal drugs are considered alternative agents and have been used for severalyears around the world. Recurrent aphthous stomatitis (RAS) is one of the most commonproblems recognized by dentists and skin specialists. This problem is characterized by recur-ring, painful, small oral mucosal ulcers with a round or oval aspect that mostly appear inkeratinized mucosa, cheeks, and on the surface of the mouth under the tongue.Methods: In our experiment, the alcoholic and water extracts of Punica granatum var. pleni-flora, P. granatum var. Sweet Alak, and P. granatum var. Saveh Black were tested on minor RAS.The study was carried out using the double-blind method. The study population consistedof 210 participants, of whom 69 were females (32%) and 141 were males (68%). In additionto checking several factors, the pain and the degree of the participant’s satisfaction hadbeen determined based on visual analog scale. Data analysis was done in the form of anonparametric method using Kruskal–Wallis test and SPSS version 20 software.Results: The results show that the alcoholic and water extracts of P. granatum var. pleniflorahave a meaningful therapeutic effect on minor RAS. Results from the antioxidant activityand its relation to total phenolics show that P. granatum var. pleniflora and P. granatum var.Sweet Alak are rich in phenols.Conclusion: The water and alcoholic extracts of P. granatum varpleniflora decreased the entiretime of complete treatment, and the treatment was meaningfully satisfactory for patientswho participated in this experiment.
EQUIVALENCE CLASSES OF MATRICES IN $GL_2(Q)$ AND $SL_2(Q)$
Darafsheh, M.R.,Larki, F. Nowroozi 한국전산응용수학회 1999 Journal of applied mathematics & informatics Vol.6 No.2
Let G denote either of the groups $GL_2(q)$ or $SL_2(q)$. The mapping $theta$ sending a matrix to its transpose-inverse is an auto-mophism of G and therefore we can form the group $G^+$ = G.<$theta$>. In this paper conjugacy classes of elements in $G^+$ -G are found. These classes are closely related to the congruence classes of invert-ible matrices in G.
THE CHARACTER TABLE OF THE GROUP $GL_2(Q)$WHEN EXTENDED BY A CERTAIN GROUP OF ORDER TWO
Darafsheh, M.R.,Larki, F.Nowroozi 한국전산응용수학회 2000 The Korean journal of computational & applied math Vol.7 No.3
Let G denote either of the groups $GL_2(q)$ or $SL_2(q)$. Then ${\theta}$:G -> G given by ${\theta}(A)$ = ${(A^t)}^{-l}$, where $A^t$ denotes the transpose of the matrix A, is an automorphism of G. Therefore we may form the group G.$<{\theta}>$ which is the split extension of the group G by the cyclic group $<{\theta}>$ of order 2. Our aim in this paper is to find the complex irreducible character table of G.$<{\theta}>$.
Saadat Rastegarzadeh,Nahid Pourreza,Arash Larki 한국공업화학회 2015 Journal of Industrial and Engineering Chemistry Vol.24 No.-
A fast and reliable dispersive liquid–liquid microextraction (DLLME) method for the determination of trace levels of silver by flame atomic absorption spectrometry (FAAS) was developed. The method is based on highly-efficient separation and preconcentration of silver by the complex formation of Ag(I) with 2-mercaptobenzimidazole and extracted by DLLME procedure using carbon tetrachloride as extraction and acetone as disperser solvent. After establishment of a cloudy solution, the phase separation is achieved and Ag(I) is determined in the enriched phase by FAAS. The method yields a linear calibration curve in the concentration range of 1–100 ng mL1 of Ag(I), and the limit of detection is 0.41 ng mL1. The proposed method was successfully applied to determine the trace amounts of silver in water, radiology film processing wastewater and ore samples.
N. Pourreza,S. Rastegarzadeh,A. Larki 한국공업화학회 2014 Journal of Industrial and Engineering Chemistry Vol.20 No.5
Nano-TiO2 modified with 2-mercaptobenzothiazole (MBT) was investigated as a new adsorbent for preconcentration of Cd(II), Cu(II) and Pb(II). The metal ions are adsorbed onto nano-TiO2-MBT, eluted by nitric acid and determined by flame atomic absorption spectrometry. The parameters affecting the adsorption were investigated. Under optimized conditions, the calibration curves were linear in the range of 0.2–25.0, 0.2–20.0, and 3.0–70.0 ng mL 1 for cadmium, copper and lead, respectively. The limits of detection for Cd(II), Cu(II) and Pb(II) were 0.12, 0.15 and 1.38 ng mL 1, respectively. The method was applied to determination of Cd(II), Cu(II) and Pb(II) in water and ore samples. 2013 The Korean Society of Industrial and Engineering Chemistry. Published by Elsevier B.V.
Shahin Gavanji,Elmira Mohammadi,Behrouz Larki,Azizollah Bakhtari 한국한의학연구원 2014 Integrative Medicine Research Vol.3 No.3
Background: Since ancient times, various infectious diseases have been treated using herbaldrugs. Today, efforts regarding the discovery of the effectual components of plants pos-sessing antimicrobial properties are advanced. Herbal essential oils are widely used fortreatment of various diseases, and they play an important role in health care considerations.Methods: The antibacterial activity of Artemisia kermanensis, Lavandula officinalis, and Zatariamultiflora Boiss essential oils against Staphylococcus aureus (ATCC 25923), Pseudomonasaeruginosa (PTCC 1310), and Klebsiella pneumonia (PTCC 1053) was evaluated using the diskdiffusion method as well as determination of the minimal inhibitory concentration and min-imal bactericidal concentration. The composition of the three essential oils was determinedwith gas chromatography-mass spectrometry. Variable amounts of different components(such as oxygenated monoterpenes, thymol, carvacrol, and 1,8-cineol) were found in allthree oils. Among the tested bacteria, S. aureus was the most sensitive to the three essentialoils.Results: The obtained results showed that each of the three essential oils has an inhibitoryeffect on pathogenic strains. Of these three oils, Z. multiflora Boiss essential oil showed thehighest inhibitory effect on microbial strains. Furthermore, comparison of the antibacterialeffects of these three essential oils with ampicillin and tetracycline revealed that theseantibiotics have a better effect in controlling pathogenic strains.Conclusion: The essential oils used in the present study with different components showedantibacterial activity (especially Z. multiflora Boiss essential oil), and therefore they can beused as a new antibacterial substance.