Word.ws English Dictionary

semiorthogonal

semiorthogonal adjective: having the property that every subcategory is in the set of orthogonal subcategories of every higher order subcategory.

Adjective

semiorthogonal (not comparable)

  1. Having the property that every subcategory is in the set of orthogonal subcategories of every higher order subcategory.
    • For del Pezzo surfaces of degree at least 5, we construct explicit semiorthogonal decompositions by subcategories of modules over semisimple algebras arising as endomorphism algebras of vector bundles and we show how to retrieve information about the index of the surface from Brauer classes and...2015, Asher Auel, Marcello Bernardara, “Semiorthogonal decompositions and birational geometry of del Pezzo surfaces over arbitrary fields”, in arXiv
  2. (matrix algebra) Either columnwise orthogonal (having the property that M'M is an identity matrix) or rowwise orthogonal (having the property that MM' is an identity matrix).
  3. Orthogonal to the corresponding approximation space.

Origin of semiorthogonal

From semi- + orthogonal.

Questions about semiorthogonal

What does semiorthogonal mean?
Semiorthogonal means having the property that every subcategory is in the set of orthogonal subcategories of every higher order subcategory.
What part of speech is semiorthogonal?
Semiorthogonal is an adjective.

Words near semiorthogonal in the dictionary

  1. semiordinate
  2. semiordinates
  3. semiorganizational
  4. semiorganized
  5. semioriental
  6. semiorthogonal
  7. semiosic
  8. semiosis
  9. semiosises
  10. semiosphere
  11. semiospheres

Source and license

Adapted from Wiktionary: semiorthogonal (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.

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