Results 251 to 260 of about 18,297 (276)
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Wedderburn’s theorem for regular local rings
2015Let \(R\) be a regular local ring containing a field of characteristic zero, \(K\) its field of fractions and \((V, \Phi)\) a quadratic space over \(R\). \textit{I. Panin} proved that if \((V, \Phi) \otimes_RK\) is isotropic over \(K\), then \((V, \Phi)\) is isotropic over \(R\) [Invent. Math. 176, No. 2, 397--403 (2009; Zbl 1173.11025)].
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Cofiniteness of Local Cohomology Modules Over Regular Local Rings
Bulletin of the London Mathematical Society, 2000Let \(R\) be a regular local ring of Krull dimension \(d\), \(I\) a 1-dimensional ideal of it and \(M\) a finitely generated \(R\)-module. In this paper we give a new proof of the fact that the local cohomology modules \(H^i_I(M)\) are \(I\)-cofinite, that is, \(\text{Ext}^i_R(R/I, H^i_I(M))\) are finitely generated for all \(i,j\geq 0\). The hard part
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Advances in Nonlinear Variational Inequalities
An associative ring with identity D claimed to be locally Invo- regular ( L.Ι.Reg.Rings) if , for any element ӻ in D , either ӻ or 1- ӻ is Invo-regular in D , that is ӻ = ӻ v ӻ or 1- ӻ = (1- ӻ) v (1- ӻ) for some involution element v in D , these rings due to Danchev [5] .
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An associative ring with identity D claimed to be locally Invo- regular ( L.Ι.Reg.Rings) if , for any element ӻ in D , either ӻ or 1- ӻ is Invo-regular in D , that is ӻ = ӻ v ӻ or 1- ӻ = (1- ӻ) v (1- ӻ) for some involution element v in D , these rings due to Danchev [5] .
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Monoidal Transforms of Regular Local Rings
American Journal of Mathematics, 1973openaire +2 more sources
Extensions and Simplifications of the Theory of Regular Local Rings
Journal of the London Mathematical Society, 1957Northcott, D. G., Rees, D.
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Characterizations of regular local rings via syzygy modules of the residue field
Journal of Commutative Algebra, 2018Dipankar Ghosh
exaly
Differential Simplicity in Regular Local Rings
Bulletin of the London Mathematical Society, 1978openaire +2 more sources
Symbolic squares in regular local rings
Mathematische Zeitschrift, 1998Craig Huneke, Huneke Craig
exaly
Regular bi-interpretability of Chevalley groups over local rings
European Journal of Mathematics, 2023exaly
The primary components of and integral closures of ideals in 3-dimensional regular local rings
Mathematische Annalen, 1986Craig Huneke, Huneke Craig
exaly