$\displaystyle \delta$Primary Elements In Lattice Modules
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 2absorbing, 2absorbing 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 $L$.
 Publication:

arXiv eprints
 Pub Date:
 April 2020
 arXiv:
 arXiv:2004.09229
 Bibcode:
 2020arXiv200409229B
 Keywords:

 Mathematics  Rings and Algebras;
 Mathematics  Commutative Algebra;
 Mathematics  Representation Theory;
 06B23
 EPrint:
 18 pages