Word.ws English Dictionary

generalized element

generalized element noun: a morphism whose codomain is some specified object.

Noun

generalized element (plural generalized elements)

  1. A morphism whose codomain is some specified object.
    • Thinking of x#92;in#95;AB as a generalized element, for any f#58;B#92;rightarrowC, we may write f(x) for the composite f#92;circx. In this notation the first domain–codomain axiom reads as follows: for any x#92;in#95;AB and f#58;B#92;rightarrowC there is a well-defined f(x)#92;in#95;AC; that is, at...1995, Colin McLarty, Elementary Categories, Elementary Toposes, Oxford University Press, →ISBN, page 17

Forms of generalized element

pluralgeneralized elements

Questions about generalized element

What does generalized element mean?
Generalized element means a morphism whose codomain is some specified object.
What part of speech is generalized element?
Generalized element is a noun.
What is the plural of generalized element?
The plural of generalized element is generalized elements.

Words near generalized element in the dictionary

  1. generalized circle
  2. generalized circles
  3. generalized continued fraction
  4. generalized continued fractions
  5. generalized continuum hypothesis
  6. generalized element
  7. generalized elements
  8. generalized estimating equation
  9. generalized estimating equations
  10. generalized search tree
  11. generalized search trees

Source and license

Adapted from Wiktionary: generalized element (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

Last updated:

Cite this entry: “generalized element.” Word.ws, https://word.ws/generalized_element. Based on Wiktionary, CC BY-SA 4.0.