We call a module  essentially retractable if HomR for all essential submodules N of M. For a right FBN ring R, it is shown that: (i)  A non-zero module  is retractable (in the sense that HomR for all non-zero ) if and only if certain factor modules of M are essentially retractable nonsingular modules over R modulo their annihilators. (ii)  A non-zero module  is essentially retractable if and on...

We consider the spacetimes corresponding to static Global Monopoles with interior boundaries corresponding to a Black Hole Horizon and analyze the behavior of the appropriate ADM mass as a function of the horizon radius rH . We find that for small enough rH , this mass is negative as in the case of the regular global monopoles, but that for large enough rH the mass becomes positive encountering...

s International-A: The Humanities and Social Sciences, 57(1), 166-A. Shores, R. E, Gunter, P. L., & Jack, S. L. (1993). Class-room management strategies: Are they settingevents for coercion? Behavioral Disorders, 18, 92-102. Sinclair, B. (1999). Report on state implementation of the Gun-Free Schools Act: School Year 1997-98.Rockville, MD: Westat. Skiba, R. J. & Peterson, R. L. (...

Atherosclerotic cardiovascular diseases remain the number one killer in the world, accounting for nearly one-third of all deaths worldwide. There is a clinical dilemma, in that almost half of acute coronary events occur in previously asymptomatic patients, and nearly 70% of acute coronary events result from coronary lesions that are not hemodynamically significant or flow-limiting before the ev...

Since the invention of the Rubik’s cube by Ernö Rubik in 1974, similar puzzles have been produced, with various number of faces or stickers. We can use these toys to define several problems in computer science, such as go from one state of the puzzle to another one. In this paper, we will classify some of these problems based on the classic Rubik’s cube or on generalized Rubik’s Cube. And we wi...