different between groupoid vs algebroid

groupoid

English

Etymology

group +? -oid

Noun

groupoid (plural groupoids)

  1. (algebra) A magma: a set with a total binary operation.
  2. (algebra and category theory) A set with a partial binary operation that is associative and has inverses and identities.
    A groupoid is a category in which every morphism has an inverse.

Further reading

  • groupoid on Wikipedia.Wikipedia

groupoid From the web:



algebroid

English

Etymology

algebra +? -oid

Noun

algebroid (plural algebroids)

  1. (mathematics) An infinitesimal algebraic object associated with a groupoid

Derived terms

  • bialgebroid
  • Lie algebroid

Translations

Adjective

algebroid (comparative more algebroid, superlative most algebroid)

  1. (mathematics) Describing algebraic characteristics of groupoids

algebroid From the web:

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