The Journal of the Indian Mathematical Society

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Global Dimension of Algebra of Differential Operators


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1 Department of Mathematics, University of Poona, Poona—7, India
     

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Let S be a commutative ring with identity and let Ts be an S-module of derivations of S. Let Vs be the algebra of differential operators of S with respect to Ts as defined in [5]. The object of this paper is to calculate the global dimension of Vs when S and Ts are resticted suitably.
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  • Global Dimension of Algebra of Differential Operators

Abstract Views: 155  |  PDF Views: 0

Authors

A. V. Chiplunkar
Department of Mathematics, University of Poona, Poona—7, India

Abstract


Let S be a commutative ring with identity and let Ts be an S-module of derivations of S. Let Vs be the algebra of differential operators of S with respect to Ts as defined in [5]. The object of this paper is to calculate the global dimension of Vs when S and Ts are resticted suitably.