"semisimple" meaning in English

See semisimple in All languages combined, or Wiktionary

Adjective

Etymology: semi- + simple Etymology templates: {{prefix|en|semi|simple}} semi- + simple Head templates: {{en-adj|-}} semisimple (not comparable)
  1. (mathematics, of a module) In which each submodule is a direct summand. Tags: not-comparable Categories (topical): Mathematics
    Sense id: en-semisimple-en-adj-P-xK9P2i Categories (other): English entries with incorrect language header, English terms prefixed with semi- Disambiguation of English entries with incorrect language header: 12 21 10 29 28 Disambiguation of English terms prefixed with semi-: 27 23 14 19 16 Topics: mathematics, sciences
  2. (mathematics, of an algebra or ring) diagonalizable. Tags: not-comparable Categories (topical): Mathematics
    Sense id: en-semisimple-en-adj--0w7RsfT Categories (other): English entries with incorrect language header, English terms prefixed with semi- Disambiguation of English entries with incorrect language header: 12 21 10 29 28 Disambiguation of English terms prefixed with semi-: 27 23 14 19 16 Topics: mathematics, sciences
  3. (mathematics, of an operator or matrix) For which every invariant subspace has an invariant complement, equivalent to the minimal polynomial being squarefree. Tags: not-comparable Categories (topical): Mathematics
    Sense id: en-semisimple-en-adj-hWvvBC9I Categories (other): English entries with incorrect language header, English terms prefixed with semi- Disambiguation of English entries with incorrect language header: 12 21 10 29 28 Disambiguation of English terms prefixed with semi-: 27 23 14 19 16 Topics: mathematics, sciences
  4. (mathematics, of a Lie algebra) Being a direct sum of simple Lie algebras. Tags: not-comparable Categories (topical): Mathematics
    Sense id: en-semisimple-en-adj-6K9sMw2Z Categories (other): English entries with incorrect language header, English terms prefixed with semi- Disambiguation of English entries with incorrect language header: 12 21 10 29 28 Disambiguation of English terms prefixed with semi-: 27 23 14 19 16 Topics: mathematics, sciences
  5. (mathematics, of an algebraic group) Being a linear algebraic group whose radical of the identity component is trivial. Tags: not-comparable Categories (topical): Mathematics
    Sense id: en-semisimple-en-adj-o~3BKg3I Categories (other): English entries with incorrect language header, English terms prefixed with semi- Disambiguation of English entries with incorrect language header: 12 21 10 29 28 Disambiguation of English terms prefixed with semi-: 27 23 14 19 16 Topics: mathematics, sciences

Download JSON data for semisimple meaning in English (5.3kB)

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This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-05-31 from the enwiktionary dump dated 2024-05-02 using wiktextract (91e95e7 and db5a844). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.

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