M− Prime Ideals in Lattices and Their M− Prime Spectrum
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...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2024-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2024/8099386 |
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| Summary: | 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. |
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| ISSN: | 1687-0425 |