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Iampan, A., Vanishree, M., Rajesh, N.. (1403). A new approach to isomorphism theorems in Hilbert algebras. فیزیولوژی و بیوتکنولوژی آبزیان, 12(2), 117-127. doi: 10.22124/jart.2025.23254.1460
A. Iampan; M. Vanishree; N. Rajesh. "A new approach to isomorphism theorems in Hilbert algebras". فیزیولوژی و بیوتکنولوژی آبزیان, 12, 2, 1403, 117-127. doi: 10.22124/jart.2025.23254.1460
Iampan, A., Vanishree, M., Rajesh, N.. (1403). 'A new approach to isomorphism theorems in Hilbert algebras', فیزیولوژی و بیوتکنولوژی آبزیان, 12(2), pp. 117-127. doi: 10.22124/jart.2025.23254.1460
Iampan, A., Vanishree, M., Rajesh, N.. A new approach to isomorphism theorems in Hilbert algebras. فیزیولوژی و بیوتکنولوژی آبزیان, 1403; 12(2): 117-127. doi: 10.22124/jart.2025.23254.1460

A new approach to isomorphism theorems in Hilbert algebras

Journal of Algebra and Related Topics
دوره 12، شماره 2، فروردین 2025، صفحه 117-127    اصل مقاله (272.72 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22124/jart.2025.23254.1460
نویسندگان
A. Iampan* 1؛ M. Vanishree2؛ N. Rajesh3
1Department of Mathematics, School of Science, University of Phayao, Mae Ka, Mueang, Phayao 56000, Thailand
2Department of Mathematics, Rajah Serfoji Government College (affiliated to Bharathidasan University), Thanjavur-613005, Tamilnadu, India
3Department of mathematics, Rajah Serfoji Government College, Thanjavur, Tamilnadu, India
چکیده
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.
کلیدواژه‌ها
Hilbert algebra؛ fundamental theorem of homomorphisms؛ first؛ second؛ and third isomorphism theorems
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