tensor product of modules

operation that pairs a left and a right ๐‘…โ€module into an abelian group
Thing binary_operation Q3406761
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tensor product of modules

Summary

tensor product of modules is a binary operation[1]. It draws 95 Wikipedia views per month (binary_operation category, ranking #7 of 29).[2]

Key Facts

  • tensor product of modules's instance of is recorded as binary operation[3].
  • tensor product of modules's subclass of is recorded as module[4].
  • tensor product of modules's subclass of is recorded as tensor product[5].
  • tensor product of modules's Freebase ID is recorded as /m/08jbkc[6].
  • tensor product of modules's defining formula is recorded as \begin{aligned}M\otimes_RN&=(M\otimes_{\mathbb Z}N)/I\I&=(m\otimes_{\mathbb Z}rn-mr\otimes_{\mathbb Z}n\colon m\in M,\,n\in N,\;r\in R)\end{aligned}[7].
  • tensor product of modules's studied by is recorded as module theory[8].
  • tensor product of modules's MathWorld ID is recorded as ModuleTensorProduct[9].
  • tensor product of modules's nLab ID is recorded as tensor product of modules[10].
  • tensor product of modules's schematic is recorded as Tensor product of modules2.svg[11].
  • tensor product of modules's maintained by WikiProject is recorded as WikiProject Mathematics[12].
  • tensor product of modules's Microsoft Academic ID is recorded as 101783463[13].
  • tensor product of modules's ProofWiki ID is recorded as Definition:Tensor_Product_of_Modules[14].
  • tensor product of modules's OpenAlex ID is recorded as C101783463[15].

Why It Matters

tensor product of modules draws 95 Wikipedia views per month (binary_operation category, ranking #7 of 29).[2] It has Wikipedia articles in 6 language editions, a strong signal of global cultural recognition.[16] It is known by 4 alternative names across languages and contexts.[17]

References

Programmatic citations โ€” every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

  1. [3] โ†‘ . wikidata.org.
  2. [4] โ†‘ . wikidata.org.
  3. [5] โ†‘ . wikidata.org.
  4. [6] โ†‘ . Freebase Data Dumps. wikidata.org.
  5. [7] โ†‘ . wikidata.org.
  6. [8] โ†‘ . wikidata.org.
  7. [9] โ†‘ . wikidata.org.
  8. [10] โ†‘ . wikidata.org.
  9. [11] โ†‘ . wikidata.org.
  10. [12] โ†‘ . wikidata.org.
  11. [13] โ†‘ . wikidata.org.
  12. [14] โ†‘ . wikidata.org.
  13. [15] โ†‘ . OpenAlex. Retrieved . docs.openalex.org. Provenance: wikidata.org.

Class ancestry

  1. [1] โ†‘ . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] โ†‘ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [16] โ†‘ . Wikidata sitelinks. wikidata.org.
  3. [17] โ†‘ . Wikidata aliases. wikidata.org.

๐Ÿ“‘ Cite this page

Use these citations when quoting this entity in research, articles, AI prompts, or wherever provenance matters. We aggregate Wikidata + Wikipedia + authoritative open-data sources; the stitched, scored, cross-referenced view is what 4ort.xyz contributes.

APA 4ort.xyz Knowledge Graph. (2026). tensor product of modules. Retrieved May 3, 2026, from https://4ort.xyz/entity/tensor-product-of-modules
MLA “tensor product of modules.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/tensor-product-of-modules.
BibTeX @misc{4ortxyz_tensor-product-of-modules_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{tensor product of modules}}, year = {2026}, url = {https://4ort.xyz/entity/tensor-product-of-modules}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): tensor product of modules — https://4ort.xyz/entity/tensor-product-of-modules (retrieved 2026-05-03)

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