Rings Over Which All ( Finitely Generated Strongly ) Gorenstein Projective Modules Are Projective
نویسندگان
چکیده
منابع مشابه
Strongly Gorenstein projective , injective and flat modules
Let R be a ring and n a fixed positive integer, we investigate the properties of n-strongly Gorenstein projective, injective and flat modules. Using the homological theory , we prove that the tensor product of an n-strongly Gorenstein projective (flat) right R -module and projective (flat) left R-module is also n-strongly Gorenstein projective (flat). Let R be a coherent ring ,we prove that the...
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The Gorenstein projective modules are proved to form a precovering class in the module category of a ring which has a dualizing complex. 0. Introduction This paper proves over a wide class of rings that the Gorenstein projective modules form a precovering class in the module category. Let me explain this statement. There are two terms of mystery, “Gorenstein projective modules” and “precovering...
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ژورنال
عنوان ژورنال: International Journal of Open Problems in Computer Science and Mathematics
سال: 2013
ISSN: 1998-6262
DOI: 10.12816/0006184