A theoretical innovation of magnified cubic translation on β−ideals

This research investigates the impact of cubic magnified translation on β-ideals, providing a theoretical exploration that incorporates µ-multiplication and (a ̅,b)-translation. By employing advanced algebraic methodologies, we analyze the homomorphic relationships induced by cubic magnified transla...

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Main Authors: Vinod Raja, Hemavathi Perumal, Palanivel Kaliyaperumal, Muralikrishna Prakasam, Ramin Goudarzi Karim
Format: Article
Language:English
Published: Ayandegan Institute of Higher Education, 2024-06-01
Series:Journal of Fuzzy Extension and Applications
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Online Access:https://www.journal-fea.com/article_197677_03a298317706da86a1962cfcdbd2080b.pdf
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author Vinod Raja
Hemavathi Perumal
Palanivel Kaliyaperumal
Muralikrishna Prakasam
Ramin Goudarzi Karim
author_facet Vinod Raja
Hemavathi Perumal
Palanivel Kaliyaperumal
Muralikrishna Prakasam
Ramin Goudarzi Karim
author_sort Vinod Raja
collection DOAJ
description This research investigates the impact of cubic magnified translation on β-ideals, providing a theoretical exploration that incorporates µ-multiplication and (a ̅,b)-translation. By employing advanced algebraic methodologies, we analyze the homomorphic relationships induced by cubic magnified translation within the context of beta ideals. Additionally, our study explores the implications of Cartesian product results on the algebraic structures involved in this transformative process. The findings contribute to the theoretical foundations of cubic magnified translation while highlighting its potential applications in diverse mathematical contexts.
format Article
id doaj-art-77a6367b88074b2082849c946d597009
institution Kabale University
issn 2783-1442
2717-3453
language English
publishDate 2024-06-01
publisher Ayandegan Institute of Higher Education,
record_format Article
series Journal of Fuzzy Extension and Applications
spelling doaj-art-77a6367b88074b2082849c946d5970092025-01-30T15:07:06ZengAyandegan Institute of Higher Education,Journal of Fuzzy Extension and Applications2783-14422717-34532024-06-015227528710.22105/jfea.2024.445413.1388197677A theoretical innovation of magnified cubic translation on β−idealsVinod Raja0Hemavathi Perumal1Palanivel Kaliyaperumal2Muralikrishna Prakasam3Ramin Goudarzi Karim4Department of Mathematics, Prathyusha Engineering College (Autonomous), Aranvoyalkuppan, Thiruvallur-602025, India.Department of Mathematics, Saveetha School of Engineering, SIMATS, Thandalam-602105, India.Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology (VIT), Vellore 632014, Tamil Nadu.PG and Research Department of Mathematics, Muthurangam Government Arts College (Autonomus), Vellore-632002, Tamilnadu, India.Department of CIS, Stillman College, Tuscaloosa, Alabama, USA.This research investigates the impact of cubic magnified translation on β-ideals, providing a theoretical exploration that incorporates µ-multiplication and (a ̅,b)-translation. By employing advanced algebraic methodologies, we analyze the homomorphic relationships induced by cubic magnified translation within the context of beta ideals. Additionally, our study explores the implications of Cartesian product results on the algebraic structures involved in this transformative process. The findings contribute to the theoretical foundations of cubic magnified translation while highlighting its potential applications in diverse mathematical contexts.https://www.journal-fea.com/article_197677_03a298317706da86a1962cfcdbd2080b.pdfcubic setmultiplicationtranslationmagnified translationβ -idealscubic translationcubic multiplication
spellingShingle Vinod Raja
Hemavathi Perumal
Palanivel Kaliyaperumal
Muralikrishna Prakasam
Ramin Goudarzi Karim
A theoretical innovation of magnified cubic translation on β−ideals
Journal of Fuzzy Extension and Applications
cubic set
multiplication
translation
magnified translation
β -ideals
cubic translation
cubic multiplication
title A theoretical innovation of magnified cubic translation on β−ideals
title_full A theoretical innovation of magnified cubic translation on β−ideals
title_fullStr A theoretical innovation of magnified cubic translation on β−ideals
title_full_unstemmed A theoretical innovation of magnified cubic translation on β−ideals
title_short A theoretical innovation of magnified cubic translation on β−ideals
title_sort theoretical innovation of magnified cubic translation on β ideals
topic cubic set
multiplication
translation
magnified translation
β -ideals
cubic translation
cubic multiplication
url https://www.journal-fea.com/article_197677_03a298317706da86a1962cfcdbd2080b.pdf
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