let  be a graded ring and  be a graded -module. we define a topology on graded prime spectrum  of the graded -module  which is analogous to that for , and investigate several properties of the topology.

in this paper, a pointwise pseudo-metric function on the l-realline is constructed. it is proved that the topology induced by this pointwisepseudo-metric is the usual topology.

objectives: acinetobacter baumannii is a gram-negative, non-motile aerobic bacterium known as a nosocomial pathogen resisting often to broad range of antibiotics. the pathogen is a serious agent of mortality and morbidity in hospital particularly among immunocompromise patients. treatment and control of its infections is complicated owing to its high antibiotic resistance, survival in various e...

Recent simulations have indicated that the thermodynamic properties and the glassy dynamics of polymer melts are strongly influenced by the average molecular shape, as quantified by the radius of gyration tensor of the polymer molecules, and that the average molecular shape can be tuned by varying the molecular topology (e.g., ring, star, linear chain, etc.). In the present work, we investigate...