"associated prime" meaning in English

See associated prime in All languages combined, or Wiktionary

Noun

Forms: associated primes [plural]
Head templates: {{en-noun}} associated prime (plural associated primes)
  1. (algebra, of a module M over a ring R) A ideal of R which is the annihilator of some prime submodule of M. Categories (topical): Algebra
    Sense id: en-associated_prime-en-noun-ZgnW8UZd Topics: algebra, mathematics, sciences
  2. (algebra, of a module M over a ring R) A ideal of R which is the annihilator of some prime submodule of M.
    (commutative algebra) If the ring R is commutative, equivalently: A prime ideal of R which is the annihilator of some element of M.
    Categories (topical): Algebra
    Sense id: en-associated_prime-en-noun-lsd6EojP Categories (other): English entries with incorrect language header, Pages with 1 entry Disambiguation of English entries with incorrect language header: 39 61 Disambiguation of Pages with 1 entry: 30 70 Topics: algebra, mathematics, sciences

Inflected forms

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        "A ideal of R which is the annihilator of some prime submodule of M."
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          "ideal",
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          "prime",
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          "submodule",
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        "(algebra, of a module M over a ring R) A ideal of R which is the annihilator of some prime submodule of M."
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        "A ideal of R which is the annihilator of some prime submodule of M.",
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        "(algebra, of a module M over a ring R) A ideal of R which is the annihilator of some prime submodule of M.",
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        "(algebra, of a module M over a ring R) A ideal of R which is the annihilator of some prime submodule of M."
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        "A ideal of R which is the annihilator of some prime submodule of M.",
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        "(algebra, of a module M over a ring R) A ideal of R which is the annihilator of some prime submodule of M.",
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      ],
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  "word": "associated prime"
}

Download raw JSONL data for associated prime meaning in English (1.8kB)


This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-09-22 from the enwiktionary dump dated 2024-09-20 using wiktextract (af5c55c and 66545a6). 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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