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Open Access Research Article

Kernel ideals and co-Kernel dual ideals in the variety of MS-almost distributive lattices

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pp. 457–471Vol. 28Issue 2March 2025DOI: 10.47974/JIM-1758XML
Received:
07 Dec 2022
Published Online:
15 Mar 2025
Article type:
Research Article
Language:
EN
Article no.:
JIM-1758
Pages:
457–471

Abstract

In this paper, we introduce and provide a comprehensive characterization of Kernel ideals and coKernel dual ideals within the structure of MS-almost distributive lattices. These concepts are examined through the lens of lattice theory, and their properties are explored in relation to congruences and other fundamental operations within the class of ADLs. By defining specific conditions and relations, we establish key properties that distinguish Kernel ideals and coKernel dual ideals, leading to a deeper understanding of their behavior and applications in the context of MS-almost distributive lattices.

Keywords

Subject Classifications

03G0503G2506D99

References

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