Poma International Business University

Motivated by the works published in 2003 by Chakraborty et al. [J. Operator Theory, 49 (2003), 185–201], and by Sakamoto and Tanimura [J. Math. Phys., 44 (2003), 5042–5069], we investigate the noncommutative $$n$$ -torus in a magnetic field. We study the invariance of volume, integrated scalar curvature, and volume form using the method of perturbation by the inner derivation of the magnetic Laplacian in this geometric framework. Moreover, we derive the magnetic stochastic process describing the motion of a particle in a uniform magnetic field in this torus and deduce the properties of solutions of the corresponding magnetic quantum stochastic differential equation.

Small and medium sized firms especially the technology businesses have been widely acknowledged to find it difficult to raise adequate financing for growth and expansion. This is despite the general knowledge that financing is very significant to growth and survival of every new venture which eventually help in speedy and rapid economic development of every nation. The aim of this investigation is to shed more light on the selection criteria traditional lending institutions adopt in screening a few of the young firms they grant loans to, and how the monitor their investments against perceived risk and of unexpected business failure. The research methodology adopted in this study is through a qualitative approach by interviewing 25 senior managers of commercial banks out of 30 interview schedule/request letters sent out to randomly selected commercial lending institutions in Malaysia. Conventional lending organizations in Malaysia are very strict in evaluating potential young firms for financing probably as a result of the perceived high risk nature of the sector. Keywords: Debt Financing; Young Firms; Selection Criteria; Qualitative Research, Malaysia.

The need to maintain proper work life balance is becoming increasingly important; it has motivated several academic research efforts. In the quest for Lagos transformation from a mega city to a smart city, work life balance issues as it has to do with housing, work and urban liveability remains a contemporary issue that calls for keen attention. The rate of population increase in Lagos is not commensurate with the availability and development of social infrastructure, which has caused a number of the workers gainfully employed in Lagos to seek such in nearby state - Ogun State, specifically border towns which includes Ota, Ifo, Mowe, Magboro, Ibafo, Agbara etc. Consequently, such employees face job stress and work-life conflict caused by long working hours, unrelenting traffic, early resumption and late closure at work. This research examined the plausible consequence of work life imbalance measured by job stress and work-life conflict on the social life measured by job satisfaction and wellbeing of such people. A sample of 242 respondents was selected for survey using Yaro Yamane random sampling method & Rao Soft sample estimation method. Primary method of data collection was used. A well-structured questionnaire was administered and interviews were conducted while responses were analysed using product moment correlation and linear regression. Results proved that work life balance has profound impacts on the social life of workers in Lagos Metropolitan borders. This paper recommends that individuals should take active roles in ensuring work life balance; organisations must proactively identify and understand demographic & work related factors; create supportive workplace policies; adopt & implement flexible work strategies and assume the responsibility of reducing/eliminating job stress. In addition, Government should intervene and initiate measures to tackle transportation inadequacies with legislations on provision of work life balance incentives for workers.