In this paper, we introduce a new class of partially power comparability and get a number of necessary and sufficient conditions for an exchange ideal to be a generalized cu-ideal.

The relations between the related power comparability of rings and the related power comparable structures of modules are obtained.

Based on the definition of power group proposed by Li Hongxing,the definitionof generalized power groups is put forward.

This paper first introduces the concept and characteristics of meme,then based on the concept of memetics,it analyzes the comparative advertisement in such aspects as advertising form,its types and strategies,hoping to gain a proper position and legal support in advertising .

Comparative advertisement has become a competition form adopted by competitors in practice,but the anti-unhealthy competition law has not any response for it.

The comparative advertisement mainly compares its product, service or business with that of its opponent and it often becomes artifice that highly praises its own product, service or business and belittle others .