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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
Finally, we introduce the notions of closed, invertible, ultraclosed and conjugable subhyperalgebras and investigate their connections to each other.
📌 3 Key Takeaways
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Objective & Hypothesis:In this paper, we introduce the notion of Σ-hyperalgebras for an arbitrary signature Σ and provide some examples.
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Key Findings & Data:Then we extend the notions of several kinds of homomorphisms and study their properties.
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Conclusion & Impact:Finally, we introduce the notions of closed, invertible, ultraclosed and conjugable subhyperalgebras and investigate their connections to each other.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:universal algebra · hyperalgebra · homomorphism
Abstract
In this paper, we introduce the notion of Σ-hyperalgebras for an arbitrary signature Σ and provide some examples. Then we extend the notions of several kinds of homomorphisms and study their properties. Also, we study subhyperalgebras of a Σ-hyperalgebra A, Sub(A), under algebraic closure operators S, H and I. Finally, we introduce the notions of closed, invertible, ultraclosed and conjugable subhyperalgebras and investigate their connections to each other.
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Cite This Article
RASOULİ, S., HEİDARİ, D., DAVVAZ, B. (2014). An investigation on homomorphisms and subhyperalgebras of Σ-hyperalgebras. Hacettepe Journal of Mathematics and Statistics, Cilt: 43 - Sayı: 6, 971–984. https://ajindex.com/articles/669527