Homological aspects of semidualizing modules
نویسندگان
چکیده
منابع مشابه
Homological Aspects of Semidualizing Modules
We investigate the notion of the C-projective dimension of a module, where C is a semidualizing module. When C = R, this recovers the standard projective dimension. We show that three natural definitions of finite Cprojective dimension agree, and investigate the relationship between relative cohomology modules and absolute cohomology modules in this setting. Finally, we prove several results th...
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We prove versions of results of Foxby and Holm about modules of finite (Gorenstein) injective dimension and finite (Gorenstein) projective dimension with respect to a semidualizing module. We also verify special cases of a question of Takahashi and White. Mathematics Subject Classification (2000). 13C05, 13D05, 13H10.
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ژورنال
عنوان ژورنال: MATHEMATICA SCANDINAVICA
سال: 2010
ISSN: 1903-1807,0025-5521
DOI: 10.7146/math.scand.a-15121