All rings are commutative with identity and all modules are unitary. In this note we give some properties of a finite collection of submodules such that the sum of any two distinct members is multiplication, generalizing those which characterize arithmetical rings. Using these properties we are able to give a concise proof of Patrick Smith’s theorem stating conditions ensuring that the sum and ...

The Pleistocene glacial cycles resulted in significant changes in species distributions, and it has been discussed whether this caused increased rates of population divergence and speciation. One species that is likely to have evolved during the Pleistocene is the Norwegian lemming (Lemmus lemmus). However, the origin of this species, both in terms of when and from what ancestral taxon it evolv...

With rapid growth of information on the internet, recommender systems become fundamental for helping users alleviate the problem of information overload. Since contextual information can be used as a significant factor in modeling user behavior, various contextaware recommendation methods are proposed. However, the state-of-the-art context modeling methods treat contexts as other dimensions sim...

It is well established that related species hybridize and that this can have varied but significant effects on speciation and environmental adaptation. It should therefore come as no surprise that hybridization is not limited to species that are alive today. In the last several decades, advances in technologies for recovering and sequencing DNA from fossil remains have enabled the assembly of h...

The volumes under discussion, while very different in nature and value, reflect a growing dissatisfaction with the application of a classic Childean paradigm to the evolution of Egyptian civilisation. An increasing number of studies are now questioning the once axiomatic importance of settled village life as the basis for early state formation, and returning to older models in which mobile grou...

To gain insight into the social organization of a population associated with the Dawenkou period, we performed ancient DNA analysis of 18 individuals from human remains from the Fujia site in Shandong Province, China. Directly radiocarbon dated to 4800-4500 cal BP, the Fujia site is assumed to be associated with a transitional phase from matrilineal clans to patrilineal monogamous families. Our...

Reference models, whose aim is to capture domain knowledge, can assist in the adequate design of enterprise specific business processes. In complex organisations, business processes can be locally designed by specific organisational units. However, in order to be adequate, these processes should meet the local needs while maintaining the organisational standards. For this purpose, we propose to...

Ancient (proto-) Bulgarians have long been thought of as a Turkic population. However, evidence found in the past three decades shows that this is not the case. Until now, this evidence has not included ancient mitochondrial DNA (mtDNA) analysis. To fill this void, we collected human remains from the 8th to the 10th century AD located in three necropolises in Bulgaria: Nojarevo (Silistra region...

The terminal Pleistocene and Early Holocene, a period from 15 000 to 18 000 Before Present (BP), was critical in establishing the current Holarctic fauna, with temperate-climate species largely replacing cold-adapted ones at mid-latitudes. However, the timing and nature of this process remain unclear for many taxa, a point that impacts on current and future management strategies. Here, we use a...

Analytic hierarchy process (AHP) is a frequently used method for ranking alternatives. The alternatives to be ranked are modeled based on a set of criteria. The ranking computed by AHP is trusted on faith notwithstanding the fact that a model is an approximation and liable to failure. We present a model to estimate the trust in the AHP ranking. The model helps in determining if it is prudent to...