Asymptoticity of Measure Theoretic Operators and Persistent Homology in Artificial Intelligence

Authors

  • Benard Okelo School of Biological, Physical, Mathematics and Actuarial Sciences, Jaramogi Oginga Odinga University of Science and Technology, Box 210-40601, Bondo-Kenya.
  • P. Omoke School of Biological, Physical, Mathematics and Actuarial Sciences, Jaramogi Oginga Odinga University of Science and Technology, Box 210-40601, Bondo-Kenya.
  • A. Onyango School of Biological, Physical, Mathematics and Actuarial Sciences, Jaramogi Oginga Odinga University of Science and Technology, Box 210-40601, Bondo-Kenya.
  • J. Oburu School of Biological, Physical, Mathematics and Actuarial Sciences, Jaramogi Oginga Odinga University of Science and Technology, Box 210-40601, Bondo-Kenya.
  • F. Odhiambo School of Biological, Physical, Mathematics and Actuarial Sciences, Jaramogi Oginga Odinga University of Science and Technology, Box 210-40601, Bondo-Kenya.
  • W. Kangogo School of Biological, Physical, Mathematics and Actuarial Sciences, Jaramogi Oginga Odinga University of Science and Technology, Box 210-40601, Bondo-Kenya.

Keywords:

Asymptoticity, Operator, Persistent homology, Measure, AI

Abstract

Studies in algebraic structures and their applications to computing remain interesting to date. In this work, we study asymptoticity of measure theoretic operators in norm-attainable (NA) algebras. We show that these operators are asymptotically stable in a measure theoretic sense in maximal two-sided proper rings which are subalgebras of NA algebras and that they have unique aspects that are useful in artificial intelligence.

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Published

2025-06-11

Issue

Vol. 18 No. 3 (2025): Int. J. Open Problems Compt. Math., Vol. 18, No. 3, September 2025

Section

Articles