A new approach to isomorphism theorems in Hilbert algebras

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Iampan A.; Vanishree M.; Rajesh N.

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Journal Paper

Paper Information

Journal: Journal of Algebra and Related Topics Year:2024 | Volume:12 | Issue:2 Page(s): 115-125

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Title

A new approach to isomorphism theorems in Hilbert algebras

Author(s)

Iampan A. | Vanishree M. | Rajesh N. | Issue Writer Certificate

Keywords

Hilbert algebra

fundamental theorem of homomorphisms

first

second

and third isomorphism theorems

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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