PRIMARY MODULES AND NOETHER-LASKER THEOREM

The theory of ideals and modules forms one of the most significant branches of abstract algebra. In commutative algebra, the decomposition of ideals into simpler components provides deeper insight into the algebraic structure of rings. The study of primary decomposition began with the work of Emanuel Lasker and was later generalized by Emmy Noether.

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Publication Details

Published
2026-05-13
DOI
https://doi.org/10.82471/zzh4d-dx490
Primary Topic
Rings, Modules, and Algebras
Type
article
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article

PRIMARY MODULES AND NOETHER-LASKER THEOREM

Bhav Sagar
Rings, Modules, and Algebras
article

PRIMARY MODULES AND NOETHER-LASKER THEOREM

Bhav Sagar
article en

Abstract

The theory of ideals and modules forms one of the most significant branches of abstract algebra. In commutative algebra, the decomposition of ideals into simpler components provides deeper insight into the algebraic structure of rings. The study of primary decomposition began with the work of Emanuel Lasker and was later generalized by Emmy Noether.

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PRIMARY MODULES AND NOETHER-LASKER THEOREM — Bhav Sagar · (2026) | TGRS Research Map | TGRS