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Yapay Zeka Hızlı Bakış & Çıkarımlar
AI Insight⚡ TL;DR(1 Cümlede Hızlı Çıkarım)
Finally, we introduce the notions of closed, invertible, ultraclosed and conjugable subhyperalgebras and investigate their connections to each other.
📌 3 Maddede Bu Makale
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Amaç & Hipotez:In this paper, we introduce the notion of Σ-hyperalgebras for an arbitrary signature Σ and provide some examples.
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Temel Bulgular & Veri:Then we extend the notions of several kinds of homomorphisms and study their properties.
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Sonuç & Katkı:Finally, we introduce the notions of closed, invertible, ultraclosed and conjugable subhyperalgebras and investigate their connections to each other.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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.
Anahtar kelimeler
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Bu Makaleye Atıf Yap
Rasouli, S., Heidari, D., Davvaz, B. (2014). An investigation on homomorphisms and subhyperalgebras of Σ-hyperalgebras. Hacettepe Journal of Mathematics and Statistics, Volume: 43 Issue: 6. https://ajindex.com/articles/1403349