Gorenstein Dimensions over Some Rings of the Form $R \oplus C
J. Algebra Appl. 15 (2016) 1650043-1, -19 Given a semidualizing module $C$ over a commutative noetherian ring, Holm and J\o{}rgensen investigate some connections between $C$-Gorenstein dimensions of an $R$-complex and Gorenstein dimensions of the same complex viewed as a complex over the "trivi...
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| Sprache: | eng |
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| Zusammenfassung: | J. Algebra Appl. 15 (2016) 1650043-1, -19 Given a semidualizing module $C$ over a commutative noetherian ring, Holm and
J\o{}rgensen investigate some connections between $C$-Gorenstein dimensions of
an $R$-complex and Gorenstein dimensions of the same complex viewed as a
complex over the "trivial extension" $R \ltimes C$. We generalize some of their
results to a certain type of retract diagram. We also investigate some examples
of such retract diagrams, namely D'Anna and Fontana's amalgamated duplication
and Enescu's pseudocanonical cover. |
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| DOI: | 10.48550/arxiv.1408.1123 |