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In this paper, in terms of the notions of {\rm strongly} copure projective modules and the copure projective dimension $cpD(R)$ of a ring $R$ were defined in \cite{FZD12}, we show that a domain $R$ has $cpD(R)\leq 1$ if and only if $R$ is a Gorenstein Dedekind domain.
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참고문헌 (23)
참고문헌 신청
B. Stenstrom / 1970 / Coherent rings and FP-injective modules / J. London Math. Soc 2 : 323 ~ 329
C. U. Jensen / 1970 / On the vanishing of lim←(i) / J. Algebra 15 : 155 ~ 166
D. Bennis / 2010 / A short survey on Gorenstein global dimension / Actes des rencontres du C.I.R.M 2 (2) : 115 ~ 117
D. J. Fieldhouse / 1972 / Character modules, dimension and purity / GlasgowMath. J 13 : 144 ~ 146
E. E. Enochs / 1993 / Copure injective resolutions, flat resolvents and dimensions / Comment. Math. Univ. Carolin 34 (2) : 203 ~ 211
C. U. Jensen / 1970 / On the vanishing of lim←(i) / J. Algebra 15 : 155 ~ 166
D. Bennis / 2010 / A short survey on Gorenstein global dimension / Actes des rencontres du C.I.R.M 2 (2) : 115 ~ 117
D. J. Fieldhouse / 1972 / Character modules, dimension and purity / GlasgowMath. J 13 : 144 ~ 146
E. E. Enochs / 1993 / Copure injective resolutions, flat resolvents and dimensions / Comment. Math. Univ. Carolin 34 (2) : 203 ~ 211
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