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Let R be a commutative ring and M and N be R-modules. (We always work with rings having a multiplicative identity and modules are assumed to be unital: 1 ·m = m for all m ∈M .) The direct sum M ⊕N is an addition operation on modules. We introduce here a product operation M ⊗RN , called the tensor product. We will start off by describing what a tensor product of modules is supposed to look like....

conclusions l. innocua is not a pathogen, but the presence of the bacterium could be an indicator of probable contamination with l. monocytogenes. moreover, there is a potential risk to public health from the consumption of raw or undercooked burgers, which may increase the possibility of the acquisition of resistance to antibiotics. objectives the aim of this study was to evaluate the occurren...

introduction: heavy metals are types of elements naturally present in soil or enter into soil as a result of human activities. the most important route of exposure to heavy metals is daily intake of food. crops grown in contaminated soil (due to mining activities, industrial operations and agriculture) may contain high concentrations of heavy metals. also closeness to cities and industrial cent...

formaldehyde in small quantities is commonly analyzed by spectrophotometric methods. one of the most-commonly used spectrophotometric techniques for this purpose is based on the reaction with chromotropic acid. because of its simplicity, sensitivity, selectivity and its low cost, it is still widely used. investigations for replacing the concentrated sulfuric acid with other acids or using more ...

i n addition to labor force and capital, energy plays a significant role in the production of commodities and services. energy is the driving force of production activities. therefore, it is an essential ingredient of growth and development. results obtained from this paper show that the growth of oil products consumption has a positive effect on economic development via two channels: firstly, ...

a fundamental shift to a total system approach for crop management in greenhouses is urgently needed to resolve escalating economic and environmental consequences of long-lasting undesired effects of synthetic pesticides used in combating agricultural pests. the aim of this study was to examine a potential new approach i.e. microbial-based production system (mps) for greenhouse-grown peppers. f...

background: periodic epidemiological studies are necessary to understand the pattern of poisoning in each region. this study was designed to evaluate the pattern of acute poisoning cases treated in a tertiary care hospital in navi mumbai, india. methods: this cross sectional study was conducted at dr. d. y. patil medical college, hospital and research centre during july 2012 to july 2013. all c...

development of a suitable method for color sorting of agricultural products such as: tomato, apple and orange, based on surface reflection and image formation was the goal of this research. a suitable scheme of color differentiation using an optic head and electrical processing circuitry for separating red from green and other colors is presented. a photo-conductive transducer, electrical resis...