Higher dimensional crossed modules of algebras (Q1111680)
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scientific article; zbMATH DE number 4075344
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Higher dimensional crossed modules of algebras |
scientific article; zbMATH DE number 4075344 |
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Higher dimensional crossed modules of algebras (English)
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1988
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According to \textit{G. Ellis} and the reviewer [J. Pure Appl. Algebra 46, 117--136 (1987; Zbl 0622.55010)] an \(n\)-fold category object in the category of groups is equivalent to a ``crossed \(n\)-cube'', a family of \(2^n\) groups with some additional structure. In the present paper the author gives similar results for algebras of various kinds (Lie algebras, commutative algebras, etc). He also mentions some results which extend from groups to algebras.
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exact sequence
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multi-relative cohomology
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non-abelian homology
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multirelative Steinberg Lie algebra in cyclic homology
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crossed modules of algebras
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crossed n-cube
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0.92786163
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0.9250525
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0.92126846
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