<p>In this paper, we show the relation among the relative central extensions in an isoclinism family of a particular relative central extension. Here, at first we define the notion of isoclinism on the relative central extensions of a pair of Hom–Lie superalgebras. Then we figure out the concept of isomorphism in the equivalence class of isoclinisms on the relative central extensions of a pair of Hom–Lie superalgebras.</p>

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Isoclinic relative central extensions of a pair of Hom–Lie superalgebras

  • Tofan Kumar Khuntia,
  • Rudra Narayan Padhan

摘要

In this paper, we show the relation among the relative central extensions in an isoclinism family of a particular relative central extension. Here, at first we define the notion of isoclinism on the relative central extensions of a pair of Hom–Lie superalgebras. Then we figure out the concept of isomorphism in the equivalence class of isoclinisms on the relative central extensions of a pair of Hom–Lie superalgebras.