m-Periodic Gorenstein objects
نویسندگان
چکیده
We present and study the concept of m-periodic Gorenstein objects relative to a pair (A,B) classes in an abelian category, as generalization m-strongly projective modules over associative rings. prove several properties when satisfies certain homological conditions, like for instance is GP-admissible pair. Connections dimensions these pairs are also established.
منابع مشابه
Gorenstein projective objects in Abelian categories
Let $mathcal {A}$ be an abelian category with enough projective objects and $mathcal {X}$ be a full subcategory of $mathcal {A}$. We define Gorenstein projective objects with respect to $mathcal {X}$ and $mathcal{Y}_{mathcal{X}}$, respectively, where $mathcal{Y}_{mathcal{X}}$=${ Yin Ch(mathcal {A})| Y$ is acyclic and $Z_{n}Yinmathcal{X}}$. We point out that under certain hypotheses, these two G...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2023
ISSN: ['1090-266X', '0021-8693']
DOI: https://doi.org/10.1016/j.jalgebra.2023.01.011