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Clones of Terms of a Fixed Variable

Author

Listed:
  • Khwancheewa Wattanatripop

    (Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen 40002, Thailand)

  • Thawhat Changphas

    (Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen 40002, Thailand
    Centre of Excellence in Mathematics CHE, Si Ayuttaya Rd., Bangkok 10400, Thailand)

Abstract

Let τ be a type of algebras. This paper introduces special terms of type τ called terms of a fixed variable. It turns out that the set of all terms of a fixed variable of type τ forms the many-sorted clone satisfying the superassociative law as identity, under the many-sorted superposition operations. Moreover, based on terms of a fixed variable of type τ , hypersubstitutions of a fixed variable and the related closed identities of a fixed variable and closed variety of a fixed variable are introduced and studied.

Suggested Citation

  • Khwancheewa Wattanatripop & Thawhat Changphas, 2020. "Clones of Terms of a Fixed Variable," Mathematics, MDPI, vol. 8(2), pages 1-9, February.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:2:p:260-:d:321387
    as

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