"associated prime" meaning in All languages combined

See associated prime on Wiktionary

Noun [English]

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 Disambiguation of English entries with incorrect language header: 37 63 Topics: algebra, mathematics, sciences

Inflected forms

Download JSON data for associated prime meaning in All languages combined (2.2kB)

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This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-06-04 from the enwiktionary dump dated 2024-05-02 using wiktextract (e9e0a99 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.

If you use this data in academic research, please cite Tatu Ylonen: Wiktextract: Wiktionary as Machine-Readable Structured Data, Proceedings of the 13th Conference on Language Resources and Evaluation (LREC), pp. 1317-1325, Marseille, 20-25 June 2022. Linking to the relevant page(s) under https://kaikki.org would also be greatly appreciated.