Radical formula for L-submodules

Document Type : Research Articles

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Department of Mathematics, Semnan University, Semnan, Iran

Abstract

Let R be a commutative ring with non-zero identity and M be a unitary R-module. In this paper, we introduce the concepts of radical and E-radical (envelope) of L-submodules and investigate their properties. Additionally, we define L-radical formula and demonstrate that, under specefic conditions, the L-radical formula can be derived using the concept of the envelope of an L-submodule.

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