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arXiv · 1807.04023

Uniqueness of primary decompositions in Laskerian le-modules

A. K. Bhuniya·M. Kumbhakar
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Abstract

Here we introduce and characterize a new class of le-modules $_{R}M$ where $R$ is a commutative ring with $1$ and $(M,+,\leqslant,e)$ is a lattice ordered semigroup with the greatest element $e$. Several notions are defined and uniqueness theorems for primary decompositions of a submodule element in a Laskerian le-module are established.

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A. K. Bhuniya, M. Kumbhakar. 2018-07-11. Uniqueness of primary decompositions in Laskerian le-modules. https://arxiv.org/abs/1807.04023

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