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PDF(412 KB)
Gorenstein Prüfer整环的一些新刻画
Some Characterizations of Gorenstein Prüfer Domains
设R是整环.众所周知，R是Prüfer整环当且仅当每个可除模是FP-内射模当且仅当每个h-可除模是FP-内射模.本文引进了一种新的GorensteinFP-内射模，并且证明了R是Gorenstein Prüfer整环当且仅当每个可除模是Gorenstein FP-内射模，当且仅当每个h-可除模是GorensteinFP-内射模.
It is well known that a domain R is a Prüfer domain if and only if every divisible module is FP-injective; if and only if every h-divisible module is FP-injective. In this paper, we introduce the concept of Gorenstein FP-injective modules, and show that a domain R is a Gorenstein Prüfer domain if and only if every divisible module is Gorenstein FP-injective; if and only if every h-divisible module is Gorenstein FPinjective.
Gorenstein FP-内射模 / Gorenstein Prü / fer整环 / 可除模 / h-可除模 {{custom_keyword}} /
Gorenstein FP-injective modules / Gorenstein Prüfer Domains / divisible modules / h-divisible modules {{custom_keyword}} /
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国家自然科学基金资助项目（11671283）；国家自然科学基金青年科学基金资助项目（11701398）；教育部博士点科研基金资助项目（20125134110002）；西华师范大学博士科研启动项目（17E087）
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