Prime Submodules And A Sheaf On The Prime Spectra Of Modules

TL;DR

This paper introduces a sheaf of modules on the prime spectra of modules and demonstrates an isomorphism with the ideal transform module, advancing the understanding of module spectra.

Contribution

It defines a new sheaf on prime spectra of modules and establishes an isomorphism with the ideal transform module, providing novel insights into module theory.

Findings

Established a sheaf on prime spectra of modules

Proved an isomorphism with the ideal transform module

Enhanced understanding of module spectra structure

Abstract

We define and investigate a sheaf of modules on the prime spectra of modules and it is shown that there is an isomorphism between the sections of this sheaf and the ideal transform module.