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Journals / Turkish Journal of Mathematics and Computer Science / 2026 / Volume: 11 Special Issue

Abstract Omega Algebra that Subsumes Tropical Min and Max Plus Algebras

Syed Khalid Nauman(King Abdulaziz University)0000-0002-5668-7871
Cenap Özel(King Abdulaziz University)0000-0001-9673-8875
Hanifa Zekraoui(Larbi Ben M'hidi University)0000-0003-1594-5958
Pages
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Publication Date
2019-12-30
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

As applications, symmetrized omega algebras are constructed and matrices with basic operations and some topological distances over them are defined.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper abstract omega algebra is introduced and the definition is modeled in such a way that it subsumes almost all so called tropical min and max plus algebras.
📊
Key Findings & Data:Concrete examples of distinct nature of these algebras are presented.
💡
Conclusion & Impact:As applications, symmetrized omega algebras are constructed and matrices with basic operations and some topological distances over them are defined.
🔬Design:Modeling & Simulation
📍Scope:Comprehensive Sample
⚙️Variables:Tropical geometry · idemptent semirings · max and min plus algebras

Abstract

In this paper abstract omega algebra is introduced and the definition is modeled in such a way that it subsumes almost all so called tropical min and max plus algebras. Concrete examples of distinct nature of these algebras are presented. As applications, symmetrized omega algebras are constructed and matrices with basic operations and some topological distances over them are defined.

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Cite This Article

Nauman, S. K., Özel, C., Zekraoui, H. (2019). Abstract Omega Algebra that Subsumes Tropical Min and Max Plus Algebras. Turkish Journal of Mathematics and Computer Science, Volume: 11 Special Issue. https://ajindex.com/articles/1324864

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References (7)

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