We present the idea of a Banach algebra in n-Banach space and give some examples. The existence of an identity element in a n-Banach algebra is being discussed. We explain a set-theoretic property of invertible and non-invertible elements in a n-Banach algebra and define topological divisor of zero in n-Banach algebra. Finally, we introduce the notion of a complex homomorphism in a n-Banach algebra and derive Gleason, Kahane, Zelazko type theorem with the help of complex b-homomorphism in the case of n-Banach algebra.
An increasing access and enrolment do not necessarily ensure school effectiveness or educational progress. They are, of course, other parameters of development of education, rather than being measures of standards of quality education. The present paper opts to scrutinize whether infrastructural development in schools at all ensures good educational development or not. To accomplish this, Education Infrastructural Index has been prepared through Access, Facility and Teacher Index whereas a combination of Enrollment Index and Literacy Index gave rise Educational Development Index. The study reveals that accessibility factor begets a division within rural spaces in the form of backward rural, rural and prosperous rural that manifests through the availability of the teachers and facilities. In the urban areas, wherein accessibility is not a matter of concern, facilities and teachers matter in making difference between the less developed and developed urban areas. The higher Educational Development Index at the non-rural areas indicates town- centric nature of the development of our educational system. Superimposition of the infrastructural and developmental parameters revealed that good infrastructure does not always ensure good educational achievement. In the light of these backdrops, the key purpose of this article is to measuring spatiality in infrastructure and development of high school education in Hooghly District of West Bengal, India.
The popularity of computer-mediated communication and cyber technology has created many new vices in society that obstruct the development of adolescents. One such vice is cyberbullying, which is an insidious and covert form of bullying. The present paper opts to scrutinise cyberbullying's psychological effects on the victim teenagers of minority communities of a cosmopolitan city. Confirmatory factor analysis, for testing the Psychological Effect of Cyberbullying Scale (PECS) comprising 24 direct item pool, was employed to unfold Mild Psychological Effect Scale (MPES) and Intense Psychological Effect Scale (IPES). Cross validating the initial factor structure was conducted with the help of developing standardised coefficient for the two factor model for PECS. Cronbach's alpha reliability coefficient values are above 0.09 for the items of both the Mild Psychological Effect Scale (MPES) and Intense Psychological Effect Scale (IPES). Based on purposive sampling, the study found that all the items taken for conducting the survey are highly co-related to the psychological impact of the victim teens of the minority community of the cosmopolitan city. So the PECS developed for measuring the effect has significance. Study results also indicate that the PECS can serve as a valuable tool for measuring the mental impact of cyberbullying among teenagers.
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