M− Prime Ideals in Lattices and Their M− Prime Spectrum

Natnael Teshale Amare and Ayesha Ikram

International Journal of Mathematics and Mathematical Sciences, 2024, vol. 2024, 1-11

Abstract: In this paper, we explore various characteristics and attributes of M− prime ideals, minimal M− prime ideals, and weakly M− prime ideals in a lattice. We demonstrate that the image and inverse image of an M− prime ideal (or weakly M− prime ideal) also qualify as an M− prime ideal (or weakly M− prime ideal). Additionally, we investigate the relationship between M− prime ideals and weakly M− prime ideals. Finally, we introduce the concept of the space of M− prime ideals and discuss their characterizations.

Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:8099386

DOI: 10.1155/2024/8099386

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