We prove that all left modules over a right coherent ring have Gorenstein flat covers.

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In this article we extend the results about Gorenstein modules and Foxby duality to a noncommutative setting. This is done in § 3 of the paper, where we characterize the Auslander and Bass classes which arise whenever we have a dualizing module associated with a pair of rings. In this situation it is known that flat modules have finite projective dimension. Since this property of a ring is of interest in its own right, we devote § 2 of the paper to a consideration of such rings. Finally, in the paper's final section, we consider a natural generalization of the notions of Gorenstein modules which arises when we are in the situation of § 3, i.e. when we have a dualizing module.

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Wireless sensor networks (WSNs), as an integral part of most Internet of Things (IoT) devices, are currently proliferating providing a new paradigm of emerging technologies. It is estimated that the number of globally connected products will increase exponentially in the next decade. Therefore, it is not surprising finding applications in different areas such as smart homes, smart cities, industry, e-health, defense, security, vehicle networks, agriculture, and logistics among others. WSNs transmit the information gathered by the existing sensors in the IoT devices to header nodes acting as gateways to reach cloud computing nodes that will process this information. The processing of the data gathered through the sensors has made it possible to provide intelligence in strategical environments such as in the agrifood sector. Securing how this information is transmitted and assuring the integrity of the information is preserved. The use of blockchain technology has proven to be effective for securing the integrity of data transactions among entities. In this paper, we seize the advantage of this circumstance to design a robust mechanism based on smart contracts and blockchain technology that allow the reliable processing of data.