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Journals / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 42 Issue: 2

A note on Multipliers of Subtraction Algebras

Sang Deok Lee
Kyung Ho Kim
Pages
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Publication Date
2013-02-01
DOI
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Also, we characterize the normal ideals of direct products of subtraction algebras.Finally, the concept of a weak congruence is introduced in subtractionalgebras and obtain an interconnection between multipliers and weakcongruences.

📌 3 Key Takeaways

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Objective & Hypothesis:In this paper, we introduce the concept of normal ideal of a subtractionalgebra and study properties in connection with multiplies of subtraction algebras.
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Key Findings & Data:The image and inverse image of a normal ideal of a subtraction algebra are proved to be again normal ideals.
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Conclusion & Impact:Also, we characterize the normal ideals of direct products of subtraction algebras.Finally, the concept of a weak congruence is introduced in subtractionalgebras and obtain an interconnection between multipliers and weakcongruences.
🔬Design:Article
📍Scope:Comprehensive Sample
⚙️Variables:Subtraction algebra · multiplier · normal ideal

Abstract

In this paper, we introduce the concept of normal ideal of a subtractionalgebra and study properties in connection with multiplies of subtraction algebras. The image and inverse image of a normal ideal of a subtraction algebra are proved to be again normal ideals. Also, we characterize the normal ideals of direct products of subtraction algebras.Finally, the concept of a weak congruence is introduced in subtractionalgebras and obtain an interconnection between multipliers and weakcongruences.

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Cite This Article

Lee, S. D., Kim, K. H. (2013). A note on Multipliers of Subtraction Algebras. Hacettepe Journal of Mathematics and Statistics, Volume: 42 Issue: 2. https://ajindex.com/articles/1403486

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References (6)

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