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semisimple

adjective

semisimple is spelled S-E-M-I-S-I-M-P-L-E: 10 letters. It appears about once in every 22 million words in written English, the 143,405th most frequent word form (wordfreq, 2021 data). As an adjective, semisimple means “Containing a collection of simple objects such that all objects in the category are direct sums of these simple objects” (English Wiktionary, September 2026).

How many letters and syllables are in semisimple?

Letters10: S-E-M-I-S-I-M-P-L-E
In writingabout once in every 22 million words; the 143,405th most frequent word form
Wrong spellings searchednone measured in search

Sources: letters and syllables from the English Wiktionary's hyphenation or pronunciation; written frequency: wordfreq 3.1 (a 2021 snapshot of Wikipedia, subtitles, news, books, web text and social media).

How common is semisimple?

Semisimple appears about once in every 22 million words in written English, the 143,405th most frequent word form in the list.

Source: written frequency: wordfreq 3.1 (a 2021 snapshot of Wikipedia, subtitles, news, books, web text and social media).

How do you pronounce semisimple?

  • US

Source: English Wiktionary, dump of September 2, 2026 (CC BY-SA 4.0), through kaikki.org (Wiktextract). Recordings: LL-Q1860_(eng)-Flame,_not_lame-semisimple.wav, Wikimedia Commons (author and licence on each file's page).

What does semisimple mean?

The meanings the English Wiktionary records, quoted as written there (source below).

adjective

  1. 1

    Containing a collection of simple objects such that all objects in the category are direct sums of these simple objects.

  2. 2

    In which each submodule is a direct summand; equivalently, equal to a direct sum of simple submodules.

  3. 3

    Semisimple as a module over itself; equivalently, such that all (left) modules are semisimple.

  4. 4

    proscribedSemiprimitive: having trivial Jacobson radical.

  5. 5

    For which every invariant subspace has an invariant complement, equivalent to the minimal polynomial being squarefree.

  6. 6

    Being a direct sum of simple Lie algebras.

  7. 7

    Being a direct sum of simple representations (also known as irreducible representations).

  8. 8

    Being a linear algebraic group whose radical of the identity component is trivial.

Source: English Wiktionary, dump of September 2, 2026 (CC BY-SA 4.0), through kaikki.org (Wiktextract).

Where does semisimple come from?

From semi- + simple.

Source: English Wiktionary, dump of September 2, 2026 (CC BY-SA 4.0), through kaikki.org (Wiktextract).

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