Galoitica: Journal of Mathematical Structures and Applications

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Volume 13 , Issue 1 , PP: 23-50, 2026 | Cite this article as | XML | Html | PDF | Full Length Article

New Concepts of MetaStructures: Algebra, Topology, Lattices, Queues, Markov Chains, and Intervals

Takaaki Fujita 1 * , Ajoy Kanti Das 2

  • 1 Independent Researcher, Tokyo, Japan - (Takaaki.fujita060@gmail.com)
  • 2 Associate Professor, Department of Mathematics, Tripura University, Agartala-799022, Tripura, India - (ajoykantidas@gmail.com)
  • Doi: https://doi.org/10.54216/GJMSA.130103

    Received: October 14, 2025 Revised: December 09, 2025 Accepted: January 21, 2026
    Abstract

    A MetaStructure is a higher-level framework that treats entire collections of structures as single objects, equipped with natural operations that preserve isomorphisms across different domains. The term “Struc- ture” here refers broadly to mathematical systems as well as real-world models. An Iterated MetaStructure generalizes this idea recursively, generating successive layers in which structures of structures form deeper hierarchical meta-levels. In this work, we extend and investigate the properties of Algebra, Topology, Lattices, Queues, Markov Chains, and Intervals through the lens of MetaStructures and Iterated MetaStructures.

    Keywords :

    MetaStructure , Iterated MetaStructure , Algebra , Topology, Lattices , Queues , Markov Chains , Interval

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    Cite This Article As :
    Fujita, Takaaki. , Kanti, Ajoy. New Concepts of MetaStructures: Algebra, Topology, Lattices, Queues, Markov Chains, and Intervals. Galoitica: Journal of Mathematical Structures and Applications, vol. , no. , 2026, pp. 23-50. DOI: https://doi.org/10.54216/GJMSA.130103
    Fujita, T. Kanti, A. (2026). New Concepts of MetaStructures: Algebra, Topology, Lattices, Queues, Markov Chains, and Intervals. Galoitica: Journal of Mathematical Structures and Applications, (), 23-50. DOI: https://doi.org/10.54216/GJMSA.130103
    Fujita, Takaaki. Kanti, Ajoy. New Concepts of MetaStructures: Algebra, Topology, Lattices, Queues, Markov Chains, and Intervals. Galoitica: Journal of Mathematical Structures and Applications , no. (2026): 23-50. DOI: https://doi.org/10.54216/GJMSA.130103
    Fujita, T. , Kanti, A. (2026) . New Concepts of MetaStructures: Algebra, Topology, Lattices, Queues, Markov Chains, and Intervals. Galoitica: Journal of Mathematical Structures and Applications , () , 23-50 . DOI: https://doi.org/10.54216/GJMSA.130103
    Fujita T. , Kanti A. [2026]. New Concepts of MetaStructures: Algebra, Topology, Lattices, Queues, Markov Chains, and Intervals. Galoitica: Journal of Mathematical Structures and Applications. (): 23-50. DOI: https://doi.org/10.54216/GJMSA.130103
    Fujita, T. Kanti, A. "New Concepts of MetaStructures: Algebra, Topology, Lattices, Queues, Markov Chains, and Intervals," Galoitica: Journal of Mathematical Structures and Applications, vol. , no. , pp. 23-50, 2026. DOI: https://doi.org/10.54216/GJMSA.130103