Ideal category of a Noetherian ring

P G Romeo; Minnumol P K

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arXiv · 2304.03751

Ideal category of a Noetherian ring

P G Romeo·Minnumol P K

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Abstract

In this paper we describe the categories $\mathbb{L}_R$ , [$\mathbb{R}_R$] whose objects are left [right] ideals of a Noetherian ring $R$ with unity and morphisms are appropriate $R$-linear transformations. Further it is shown that these are preadditive categories with zero object and are full subcategories of the $R$-modulue category with the property that these are categories with subobjects and the morphisms admits factorization property.

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P G Romeo, Minnumol P K. 2023-04-07. Ideal category of a Noetherian ring. https://arxiv.org/abs/2304.03751

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