A new approach to isomorphism theorems in Hilbert algebras

Document Type : Research Paper

Authors

1 Department of Mathematics, School of Science, University of Phayao, Mae Ka, Mueang, Phayao 56000, Thailand

2 Department of Mathematics, Rajah Serfoji Government College (affiliated to Bharathidasan University), Thanjavur-613005, Tamilnadu, India

3 Department of mathematics, Rajah Serfoji Government College, Thanjavur, Tamilnadu, India

Abstract

In this paper, we embark on an in-depth exploration of the profound connections between congruences, ideals, and homomorphisms in Hilbert algebras. Our research unveils a groundbreaking theorem that seamlessly integrates the principles of the first, second, and third isomorphism theorems within this algebraic structure. The study of these isomorphism theorems is crucial, as they provide fundamental insights into the structure and behaviour of algebraic systems, facilitating a deeper understanding and broader applications. This pivotal discovery not only enhances our comprehension of Hilbert algebras but also sets the stage for the development of new and innovative isomorphism theorems, promising to significantly enrich the field.

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References

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Journal of Algebra and Related Topics
Volume 12, Issue 2
January 2025
Pages 115-125

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