Journals / Iğdır Üniversitesi Fen Bilimleri Enstitüsü Dergisi / 2026 / Cilt: 10 Sayı: 2

The f-algebra Structure of Orthomorphisms and Bi-orthomorphisms on Riesz Space and Relation with Some Other Algebra

Riesz Uzaylarında Otomorfizma ve Biotomorfizmaların 𝒇-Cebir Yapıları ve Diğer Bazı Cebir Türleri İle İlişkisi

Pages
1254–1262
Publication Date
2020-06-01
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AI Summary & Key Takeaways

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

The algebraic structure of the biortomorphism space by examining by Boulabiar and Brahmi (2016), for e∈𝑋+, ∀𝑥1,𝑥2∈𝑋 and 𝑓1,𝑓2∈𝑂𝑟𝑡ℎ(𝑋,𝑋),

📌 3 Key Takeaways

🎯
Objective & Hypothesis:𝑓-Algebra, 𝑑−Algebra, almost 𝑓−Algebra and semiprime 𝑓−Algebra is introduced and is worked their relations by Aliprantis and Burkinshaw (2006) .
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Key Findings & Data:The concepts of homomorphism, isomorphism, automorphism and biortomorphism on Riesz spaces have been defined by mathematicians such as Zaanen, Huijsmans, Boulabiar, Buskes and Triki. 𝑓-Algebra on biorthomorphisms is worked by Buskes, Page and Yilmaz (2010) and by Boulabiar and Brahmi (2016) on Riesz Space.
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Conclusion & Impact:The algebraic structure of the biortomorphism space by examining by Boulabiar and Brahmi (2016), for e∈𝑋+, ∀𝑥1,𝑥2∈𝑋 and 𝑓1,𝑓2∈𝑂𝑟𝑡ℎ(𝑋,𝑋),
🔬Design:Araştırma Makalesi
📍Scope:2006 Verileri
⚙️Variables:Biotomorfizma · 𝑓-cebiri · 𝑑-cebiri

Abstract

𝑓-Algebra, 𝑑−Algebra, almost 𝑓−Algebra and semiprime 𝑓−Algebra is introduced and is worked their relations by Aliprantis and Burkinshaw (2006) . The concepts of homomorphism, isomorphism, automorphism and biortomorphism on Riesz spaces have been defined by mathematicians such as Zaanen, Huijsmans, Boulabiar, Buskes and Triki. 𝑓-Algebra on biorthomorphisms is worked by Buskes, Page and Yilmaz (2010) and by Boulabiar and Brahmi (2016) on Riesz Space. The algebraic structure of the biortomorphism space by examining by Boulabiar and Brahmi (2016), for e∈𝑋+, ∀𝑥1,𝑥2∈𝑋 and 𝑓1,𝑓2∈𝑂𝑟𝑡ℎ(𝑋,𝑋),

Özet

𝑓-Cebiri , 𝑑-Cebiri, hemen hemen 𝑓-Cebiri ve yarıasal 𝑓-Cebiri yapıları tanıtıldı ve aralarındaki ilişkiler Aliprantis ve Burkinshaw (2006) tarafından çalışıldı. Zaanen, Huijsmans, Boulabiar, Buskes ve Triki gibi matematikçiler tarafından Riesz uzayları üzerinde homomorfizma, izomorfizma, otomorfizma ve biotomorfizma kavramları tanımlandı. Riesz Uzaylarında Biotomorfizmalar üzerinde 𝑓-Cebiri Buskes, Page ve Yilmaz (2010) ve Boulabiar ve Brahmi (2016) tarafından çalışıldı. Boulabiar ve Brahmi (2016) tarafından biotomorfizma uzayının cebirsel yapısı incelenerek e∈𝑋+, ∀𝑥1,𝑥2∈𝑋 ve 𝑓1,𝑓2∈𝑂𝑟𝑡ℎ(𝑋,𝑋) için

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Cite This Article

Gökcan, İ. (2020). The f-algebra Structure of Orthomorphisms and Bi-orthomorphisms on Riesz Space and Relation with Some Other Algebra. Iğdır Üniversitesi Fen Bilimleri Enstitüsü Dergisi, Cilt: 10 Sayı: 2, 1254–1262. https://doi.org/10.21597/jist.646736

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