Universal modules on $R otimes_k S$

Universal modules on $R otimes_k S$

In this work we are basically interested in some structure related to the universal modules of high order derivations introduced and developed by H. Osborn. Specifically, we have investigated universal modules on $R otimes_k S$ and estimated the homological dimension of $Omega_n(R otimes_k S)$.

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  • 1.Erdoğan, A. and Çimen, N. Projective dimension of the universal modules for the product of a hypersurface and affine T-Space, Comm. Alg. 27(10), 4737-4741, 1999.
  • 2.Nakai, Y. High order derivations, Osaka J. Math. 7, 1-27, 1970.
  • 3.Northcott, D. G. Affine Sets and Affine Groups, (Cambridge University Press, New York 1980).
  • 4.Osborn, H. Modules of Differentials I, Math. Ann. 170, 221-244, 1967.