$\displaystyle \delta$-Primary Elements In Lattice Modules

A. V. Bingi; C. S. Manjarekar

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arXiv · 2004.09229

$\displaystyle \delta$-Primary Elements In Lattice Modules

A. V. Bingi·C. S. Manjarekar

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Abstract

In this paper, we introduce the expansion function $\delta$ on an $L$-module $M$. We define and investigate a $\delta$-primary element in an $L$-module $M$. Its characterizations and many of its properties are obtained. $\delta_0$-primary and $\delta_1$-primary elements of an $L$-module $M$ are related with 2-absorbing, 2-absorbing primary elements of an $L$-module $M$ to obtain their special properties. The element $\delta_1(N)\in M$ is related to $rad(N)\in M$, the radical element of $M$ to obtain its properties where $N\in M$. We define a $\delta_L$-primary element in an $L$-module $M$ where $\delta_L$ is an expansion function on $L$ and find relation among a $\delta_L$-primary element of $M$ and its corresponding $\delta_L$-primary element of $L$.

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BibTeX RIS

A. V. Bingi, C. S. Manjarekar. 2020-04-14. $\displaystyle \delta$-Primary Elements In Lattice Modules. https://arxiv.org/abs/2004.09229

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