\(\mathcal{L}\)−weakly 1−Absorbing Prime Ideals and Filters
\(\mathcal{L}\)−weakly 1−Absorbing Prime Ideals and Filters
Author(s): Natnael Teshale AmareSubject(s): Economy, Logic
Published by: Wydawnictwo Uniwersytetu Łódzkiego
Keywords: weakly 1-absorbing prime ideal; weakly 1−absorbing prime filter; \(\mathcal{L}\)−weakly 2−absorbing ideal; \(\mathcal{L}\)−weakly 1−absorbing prime ideal; \(\mathcal{L}\)−weakly 2−absorbing filter; \(
Summary/Abstract: In this manuscript, we have presented the concept of \(\mathcal{L}\)-weakly 1-absorbing prime ideals and \(\mathcal{L}\)-weakly 1-absorbing prime filters within an ADL. Mainly, we illustrate the connections between \(\mathcal{L}\)-weakly prime ideals (filters) and \(\mathcal{L}\)-weakly 1-absorbing prime ideals (filters), as well as between \(\mathcal{L}\)-weakly 1-absorbing prime ideals (filters) and \(\mathcal{L}\)-weakly 2-absorbing ideals (filters). Lastly, we have shown that both the image and inverse image of \(\mathcal{L}\)-weakly 1-absorbing prime ideals (filters) result in \(\mathcal{L}\)-weakly 1-absorbing prime ideals (filters).
Journal: Bulletin of the Section of Logic
- Issue Year: 53/2024
- Issue No: 4
- Page Range: 491-510
- Page Count: 20
- Language: English
