This article introduces the notion of duplex elements of the finite rings and corresponding neutrosophic rings. The authors establish duplex ring Dup(R) and neutrosophic duplex ring Dup(R)I)) by way of various illustrations. The tables of different duplicities are constructed to reveal the comparison between rings Dup(Zn), Dup(Dup(Zn)) and Dup(Dup(Dup(Zn ))) for the cyclic ring Zn . The proposed duplicity structures have several algebraic systems with dissimilar consequences. Author’s characterize finite rings with R + R is different from the duplex ring (...) Dup(R). However, this characterization supports that R + R = Dup(R) for some well known rings, namely zero rings and finite fields. (shrink)

This dissertation asks the question of how ownership over property in museums is decided. It concludes that for a range of candidate concepts of property, none of them oblige museums to repatriate artefacts unless we weaken Young’s theory to repatriate through how much artefacts are valued by a culture. However, this dissertation rejects the Ownership Argument as a defence for repatriation. To do this, it will be considering three options of how we understand ‘property’ through three scholars: Locke, Young and (...) Thompson. This dissertation will discuss the difference between cultural internationalism and cultural nationalism to flip the question, and attempt to defend a view that museums should retain the artefacts under their possession. To do this dissertation justice, this work has been interdisciplinary, exploring museums, law, applied philosophy, applied ethics, epistemic and metaphysical concepts, to discuss the ways in which repatriation is defended through property. It must be noted that property theories are in vast abundance, however, to keep the project manageable, it does not include prominent philosophers such as Nozick, Hobbes, and Rosseau. Although, given that the three concepts this dissertation discusses do not work, it seems unlikely that a different version would due to similar objections. (shrink)