Let $\pounds$ be a bounded distributive lattice. Following the concept of $1$-absorbing prime ideal, we define $1$-absorbing prime filters of $\pounds$. A proper filter $F$ of $\pounds$ is called $1$-absorbing prime filter of $\pounds$ if whenever non-zero elements $a, b, c \in \pounds$ and $a \vee b \vee c \in F$, then either $a \vee b \in F$ or $c \in F$. We will make an intensive investigate the basic properties and possible structures of these filters.
Ebrahimi Atani, S. (2024). $1$-absorbing prime property in lattices. Journal of Algebra and Related Topics, (), -. doi: 10.22124/jart.2024.28061.1693
MLA
Ebrahimi Atani, S. . "$1$-absorbing prime property in lattices", Journal of Algebra and Related Topics, , , 2024, -. doi: 10.22124/jart.2024.28061.1693
HARVARD
Ebrahimi Atani, S. (2024). '$1$-absorbing prime property in lattices', Journal of Algebra and Related Topics, (), pp. -. doi: 10.22124/jart.2024.28061.1693
CHICAGO
S. Ebrahimi Atani, "$1$-absorbing prime property in lattices," Journal of Algebra and Related Topics, (2024): -, doi: 10.22124/jart.2024.28061.1693
VANCOUVER
Ebrahimi Atani, S. $1$-absorbing prime property in lattices. Journal of Algebra and Related Topics, 2024; (): -. doi: 10.22124/jart.2024.28061.1693
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