本文主要给出F-复盖的直积还是一个F-复盖的充分条件和充要条件.假设右R-模类F在直积,直和项下封闭,{M_i}i∈I是一簇右R-模.如果每个φ_i:F_i→M_i都是M_i的具有唯一映射性质的F-复盖,且multiply from i∈I M_i有F-复盖,则可以得到是mul...本文主要给出F-复盖的直积还是一个F-复盖的充分条件和充要条件.假设右R-模类F在直积,直和项下封闭,{M_i}i∈I是一簇右R-模.如果每个φ_i:F_i→M_i都是M_i的具有唯一映射性质的F-复盖,且multiply from i∈I M_i有F-复盖,则可以得到是multiply from i∈I M_i的F-复盖.另外我们证明如果φ_i:F_i→M_i是M_i的F-复盖,且multiply from i∈I M_i有F-复盖,则是multiply from i∈I M_iF-复盖当且仅当multiply from i∈I Kerφ~i不包含multiply from i∈I F_i中的非零直和项.从而改进、推广了文[6]中的相应结果.展开更多
Polysemy,one of the most important and pervasive semantic phenomenon across languages,is the word having many meanings by means of human cognition from a central meaning or basic meaning to the other extended meanings...Polysemy,one of the most important and pervasive semantic phenomenon across languages,is the word having many meanings by means of human cognition from a central meaning or basic meaning to the other extended meanings. Metaphor is a cognitive process and it is a mapping across different domains in nature rather than a simple linguistic phenomenon. The transference of different domains produces different contexts in which the phenomenon of polysemy appears. Therefore,this paper aims at interpreting the polysemy of head in terms of metaphor,finding out the relations between the various meanings of its polysemant and thus analyzing the cognitive motivation of polysemy. That will let people not only have a further understanding of polysemy,but also contribute to English vocabulary teaching.展开更多
基金Supported by the National Natural Science Foundation of China(No.10571026)Research Foundation of the Education Committee of Anhui Province(No.2006kj050c)Doctoral Foundation of Anhui Normal University
文摘本文主要给出F-复盖的直积还是一个F-复盖的充分条件和充要条件.假设右R-模类F在直积,直和项下封闭,{M_i}i∈I是一簇右R-模.如果每个φ_i:F_i→M_i都是M_i的具有唯一映射性质的F-复盖,且multiply from i∈I M_i有F-复盖,则可以得到是multiply from i∈I M_i的F-复盖.另外我们证明如果φ_i:F_i→M_i是M_i的F-复盖,且multiply from i∈I M_i有F-复盖,则是multiply from i∈I M_iF-复盖当且仅当multiply from i∈I Kerφ~i不包含multiply from i∈I F_i中的非零直和项.从而改进、推广了文[6]中的相应结果.
文摘Polysemy,one of the most important and pervasive semantic phenomenon across languages,is the word having many meanings by means of human cognition from a central meaning or basic meaning to the other extended meanings. Metaphor is a cognitive process and it is a mapping across different domains in nature rather than a simple linguistic phenomenon. The transference of different domains produces different contexts in which the phenomenon of polysemy appears. Therefore,this paper aims at interpreting the polysemy of head in terms of metaphor,finding out the relations between the various meanings of its polysemant and thus analyzing the cognitive motivation of polysemy. That will let people not only have a further understanding of polysemy,but also contribute to English vocabulary teaching.
