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Some properties of isoclinism in Lie superalgebras
Authors:Saudamini Nayak  Kishor Chandra Pati
Institution:1. Institute of Mathematics &2. Applications, Bhubaneswar, Odisha, India;3. Department of Mathematics, National Institute of Technology, Rourkela, Odisha, India
Abstract:Abstract

Isoclinism of Lie superalgebras has been defined and studied currently. In this article, it is shown that for finite dimensional Lie superalgebras of same dimension, the notation of isoclinism and isomorphism are equivalent. Furthermore, we show that covers of finite dimensional Lie superalgebras are isomorphic using isoclinism concept.
Keywords:Covers  factor set  isoclinism  Lie superalgebra
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