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   Articles with "multiplicative lie" as a keyword



The Bogomolov multiplier of a multiplicative Lie algebra

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recommendations! Published in 2024 at "Ricerche di Matematica"

DOI: 10.1007/s11587-025-01007-2

Abstract: In this paper, we develop the concept of the Bogomolov multiplier for a multiplicative Lie algebra and establish a Hopf-type formula. Consequently, we see that the Bogomolov multipliers of two isoclinic multiplicative Lie algebras are… read more here.

Keywords: multiplicative lie; algebra; bogomolov multiplier; multiplier multiplicative ... See more keywords
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Exact sequences in homology of multiplicative Lie rings and a new version of Stallings' theorem

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recommendations! Published in 2017 at "Journal of Pure and Applied Algebra"

DOI: 10.1016/j.jpaa.2017.08.006

Abstract: Abstract We show that the non-abelian tensor product of nilpotent, solvable and Engel multiplicative Lie rings is nilpotent, solvable and Engel, respectively. The six term exact sequence in homology of multiplicative Lie rings is obtained.… read more here.

Keywords: multiplicative lie; version stallings; lie rings; new version ... See more keywords
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Multiplicative *-Lie type higher derivations of standard operator algebras

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recommendations! Published in 2021 at "Communications in Algebra"

DOI: 10.1080/00927872.2021.1906266

Abstract: Abstract Let be a standard operator algebra on an infinite dimensional complex Hilbert space containing identity operator I. Let be the polynomial defined by n indeterminates and their multiple *-Lie products and be the set… read more here.

Keywords: multiplicative lie; lie type; higher derivations; type higher ... See more keywords

Multiplicative Lie crossed module of multiplicative Lie algebras

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recommendations! Published in 2025 at "Communications in Algebra"

DOI: 10.1080/00927872.2025.2534878

Abstract: Abstract We introduce the concept of crossed modules in multiplicative Lie algebras, termed multiplicative Lie crossed modules. We construct a pair of adjoint functors between the category of multiplicative Lie crossed modules and the category… read more here.

Keywords: multiplicative lie; crossed modules; crossed module; lie ... See more keywords