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Tensor square and isoclinic extensions of multiplicative Lie algebras

Published 4 Jun 2024 in math.GR | (2406.02246v1)

Abstract: In this paper, we discuss the capable and isoclinic properties of the tensor square in the context of multiplicative Lie algebras. We also developed the concept of isoclinic extensions and proved several results for multiplicative Lie algebras. Consequently, we demonstrate that covers of a multiplicative Lie algebra are mutually isoclinic.

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