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Mathematical Object

Alternating Multilinear Map

Algebra

In mathematics, and more specifically in multilinear algebra, an alternating multilinear map is a multilinear map whose arguments all belong to the same vector space, such as a bilinear or multilinear form, and whose value is zero whenever any two of its arguments are equal; the notion generalizes directly to a module over a commutative ring. The process of alternatization, or alternatisation, derives an alternating multilinear map from any multilinear map whose arguments all belong to the same space. This description is adapted from Wikipedia contributors under CC BY-SA 4.0; changes were made. https://creativecommons.org/licenses/by-sa/4.0/

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Function 1
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In Branch

Source Alternating Multilinear Map (Wikipedia)

Is Kind Of Object

Functions, Concepts

Entity-backed identity for the object-kind enum value this mathematical object already carries, resolved to a mathematics concept by an explicit value-to-entity map (phase 3 bucket conversion, docs\design_entity_backed_browse_buckets_20260928.md). The object-kind fact itself stays on the object unchanged.

Sources
1. Alternating Multilinear Map (Wikipedia)
In Branch: Algebra, Lead sentence
Quote, In Branch: Algebra, Lead sentence
In mathematics, more specifically in multilinear algebra, an alternating multilinear map is a multilinear map with all arguments b
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