We investigate Buchbaum and Eisenbud's construction of the second symmetric power $s_R(X)$ of a chain complex $X$ of modules over a commutative ring $R$. We state and prove a number of results from the folklore of the subject for which we know of no good direct references. We also provide several explicit computations and examples. We use this construction to prove the following vers...

‎This paper gives several examples of the basic functions‎ ‎introduced in recent years by Ng^o‎. ‎These are mainly‎ ‎conjectures based on computer experiment‎.  

Dispositional essentialism maintains that all sparse properties are essentially powerful. Two conceptions of sparse properties appear compatible with dispositional essentialism: sparse properties as pure powers or as powerful qualities. This paper compares the two views, criticizes the powerful qualities view, and then develops a new theory of pure powers, termed Point Theory. This theory neutr...

chrysomya bezziana villeneuve is the most important fly, which produces myiasis, exists as an obligate ectoparasite in the ani­mals, and afflicts human. poor hygiene and working in contaminated areas particularly during warm seasons provide a situa­tion to infest by this parasite. infestation in human and livestock are often observed in wounds, normal body orifices such as eyes, ears, nose, and...

The objective of the article is a review state anti-corruption institutions' effectiveness in Ukraine. An important part reform Ukraine has been complete transformation institutions. That why authors try to use most optimal methodology that would be able ensure comprehensiveness and completeness study: phenomenological; descriptive; hypothetic-deductive; statistical; method case law analysis. I...