乘法格中$\displaystyleδ$ -准素元的推广
On Generalization of $\displaystyleδ$-Primary Elements in Multiplicative Lattices
摘要:
本文在紧生成的乘法格$L$中引入了$ϕ$ - $δ$ -准素元,并得到了它的特征.我们证明了它的许多性质,并调查这些结构之间的关系。通过反例,示出了$L$的$ϕ$ - $δ$ -主元素不需要是$δ$ -主元素,并且找到了$L$的$ϕ$ - $δ$ -主元素是$δ$ -主元素的条件。
英文摘要:
In this paper, we introduce $ϕ$-$δ$-primary elements in a compactly generated multiplicative lattice $L$ and obtain its characterizations. We prove many of its properties and investigate the relations between these structures. By a counter example, it is shown that a $ϕ$-$δ$-primary element of $L$ need not be $δ$-primary and found conditions under which a $ϕ$-$δ$-primary element of $L$ is $δ$-primary.
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