Gorenstein Projective Dimensions of Modules over Minimal Auslander–Gorenstein Algebras

نویسندگان

چکیده

In this article we investigate the relations between Gorenstein projective dimensions of [Formula: see text]-modules and their socles for text]-minimal Auslander–Gorenstein algebras text]. First give a description projective-injective in terms socles. Then prove that text]-module text] has dimension at most if only its socle is cogenerated by text]-module. Furthermore, show can be characterised modules

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ژورنال

عنوان ژورنال: Algebra Colloquium

سال: 2021

ISSN: ['0219-1733', '1005-3867']

DOI: https://doi.org/10.1142/s1005386721000262