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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 49 Issue: 3

Multiplicative order convergence in $f$-algebras

Abdullah Aydın(MUŞ ALPARSLAN ÜNİVERSİTESİ)0000-0002-0769-5752
Sayfa
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Yayın Tarihi
2020-06-02
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Moreover, we study the basic properties of these notions.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:A net $(x_\alpha)$ in an $f$-algebra $E$ is said to be multiplicative order convergent to $x\in E$ if $\left|x_\alpha-x\right|u\oc 0$ for all $u\in E_+$.
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Temel Bulgular & Veri:In this paper, we introduce the notions $mo$-convergence, $mo$-Cauchy, $mo$-complete, $mo$-continuous, and $mo$-KB-space.
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Sonuç & Katkı:Moreover, we study the basic properties of these notions.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:$mo$-convergence · $f$-algebra · $mo$-KB-space

Abstract

A net $(x_\alpha)$ in an $f$-algebra $E$ is said to be multiplicative order convergent to $x\in E$ if $\left|x_\alpha-x\right|u\oc 0$ for all $u\in E_+$. In this paper, we introduce the notions $mo$-convergence, $mo$-Cauchy, $mo$-complete, $mo$-continuous, and $mo$-KB-space. Moreover, we study the basic properties of these notions.

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Bu Makaleye Atıf Yap

Aydın, A. (2020). Multiplicative order convergence in $f$-algebras. Hacettepe Journal of Mathematics and Statistics, Volume: 49 Issue: 3. https://doi.org/10.15672/hujms.512073

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Kaynakça (8)

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  8. A.C. Zaanen, Riesz Spaces II, North-Holland Publishing C., Amsterdam, 1983.