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Journals / Turkish Journal of Mathematics / 2021 / Cilt: 45 - Sayı: 4

Statistically multiplicative convergence on locally solid Riesz algebras

Mikail ET
Abdullah AYDIN
Pages
1506–1516
Publication Date
2022-11-05
DOI
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AI Summary & Key Takeaways

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

Also, we give some results related to semiprime f -algebras.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we introduce the statistically multiplicative convergent sequences in locally solid Riesz algebras with respect to algebra multiplication and solid topology.
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Key Findings & Data:We study this concept and the notion of stm-bounded sequences, and also, we prove some relations between this convergence and the other convergences such as the order convergence and the statistical convergence in topological spaces.
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Conclusion & Impact:Also, we give some results related to semiprime f -algebras.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this paper, we introduce the statistically multiplicative convergent sequences in locally solid Riesz algebras with respect to algebra multiplication and solid topology. We study this concept and the notion of stm-bounded sequences, and also, we prove some relations between this convergence and the other convergences such as the order convergence and the statistical convergence in topological spaces. Also, we give some results related to semiprime f -algebras.

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Cite This Article

ET, M., AYDIN, A. (2022). Statistically multiplicative convergence on locally solid Riesz algebras. Turkish Journal of Mathematics, Cilt: 45 - Sayı: 4, 1506–1516. https://ajindex.com/articles/607430

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