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1. • CommentRowNumber1.
   • CommentAuthornLab edit announcer
   • CommentTimeMay 10th 2022
   • PermaLink
   Author: nLab edit announcer
   Format: MarkdownItexPage created, but author did not leave any comments. Anonymous <a href="https://ncatlab.org/nlab/revision/non-associative+geometric+algebra/1">v1</a>, <a href="https://ncatlab.org/nlab/show/non-associative+geometric+algebra">current</a>

   Page created, but author did not leave any comments.

   Anonymous

   v1, current

2. • CommentRowNumber2.
   • CommentAuthorUrs
   • CommentTimeMay 11th 2022
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   Author: Urs
   Format: MarkdownItexthe non-standard term "$n$-multivector" appears here without having being defined. From the definitions given it probably means "element in degree $n$". What you really want to use here is internalization: Your first clause gives a (not necessarily associative) [[monoid object]] in the monoidal category of $\mathbb{N}$-graded $R$-modules.

   the non-standard term “-multivector” appears here without having being defined. From the definitions given it probably means “element in degree ”.

   What you really want to use here is internalization: Your first clause gives a (not necessarily associative) monoid object in the monoidal category of -graded -modules.