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Exact sequences in homology of multiplicative Lie rings and a new version of Stallings' theorem

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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… Click to show full 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. We also prove a new version of Stallings' theorem.

Keywords: multiplicative lie; version stallings; lie rings; new version; homology multiplicative

Journal Title: Journal of Pure and Applied Algebra
Year Published: 2017

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