group-like element

an element π‘₯ of a coalgebra such that Ξ”(π‘₯)=π‘₯βŠ—π‘₯ and Ξ΅(π‘₯)=1
Thing general Q91594216
Press Enter Β· cited answer in seconds

group-like element

Summary

Key Facts

  • group-like element's subclass of is recorded as element[1].
  • group-like element's different from is recorded as primitive element[2].
  • group-like element's defining formula is recorded as \begin{aligned}\Delta(x)&=x\otimes x\\epsilon(x)&=1\end{aligned}[3].
  • group-like element's nLab ID is recorded as grouplike element[4].
  • group-like element's maintained by WikiProject is recorded as WikiProject Mathematics[5].
  • group-like element's PlanetMath ID is recorded as GrouplikeElementsInHopfAlgebras[6].

πŸ“‘ 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). group-like element. Retrieved May 7, 2026, from https://4ort.xyz/entity/group-like-element
MLA “group-like element.” 4ort.xyz Knowledge Graph, 4ort.xyz, 7 May. 2026, https://4ort.xyz/entity/group-like-element.
BibTeX @misc{4ortxyz_group-like-element_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{group-like element}}, year = {2026}, url = {https://4ort.xyz/entity/group-like-element}, note = {Accessed: 2026-05-07}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): group-like element — https://4ort.xyz/entity/group-like-element (retrieved 2026-05-07)

Canonical URL: https://4ort.xyz/entity/group-like-element Β· Last refreshed: