Najib Mahdou, Mohammed Tamekkante, Siamak Yassemi
Abstract
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Abstract 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.
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Abstract 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.
Key concepts: Global dimension, Mathematics, Dimension (graph theory), Series (stratigraphy), Ring (chemistry), Power series, Power (physics), Pure mathematics