A scheme over prime spectrum of modules

Authors: AHMAD ABBASI, DAWOOD HASSANZADEH LELEKAMI

Abstract: Let R be a commutative ring with nonzero identity and let M be an R-module with X=Spec(M). It is introduced a scheme O_X on the prime spectrum of M and some of its properties have been investigated.

Keywords: Prime submodule, Zariski topology, primeful module, sheaf of rings, scheme

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