Geodesic
COHERENT POWER SERIES RING AND WEAK GORENSTEIN GLOBAL DIMENSION
Glasgow mathematical journal, Tome 55 (2013) no. 3, pp. 533-536

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DOI

In this paper we compute the weak Gorenstein global dimension of a coherent power series ring. It is shown that the weak Gorenstein global dimension of R[[x]] is equal to the weak Gorenstein global dimension of R plus one, provided R[[x]] is coherent.
DOI : 10.1017/S0017089512000705
Mots-clés : 13D05, 13D02 
MAHDOU, NAJIB; TAMEKKANTE, MOHAMMED; YASSEMI, SIAMAK. COHERENT POWER SERIES RING AND WEAK GORENSTEIN GLOBAL DIMENSION. Glasgow mathematical journal, Tome 55 (2013) no. 3, pp. 533-536. doi: 10.1017/S0017089512000705
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     author = {MAHDOU, NAJIB and TAMEKKANTE, MOHAMMED and YASSEMI, SIAMAK},
     title = {COHERENT {POWER} {SERIES} {RING} {AND} {WEAK} {GORENSTEIN} {GLOBAL} {DIMENSION}},
     journal = {Glasgow mathematical journal},
     pages = {533--536},
     year = {2013},
     volume = {55},
     number = {3},
     doi = {10.1017/S0017089512000705},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089512000705/}
}
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