"ring homomorphism" meaning in English

See ring homomorphism in All languages combined, or Wiktionary

Noun

Forms: ring homomorphisms [plural]
Head templates: {{en-noun}} ring homomorphism (plural ring homomorphisms)
  1. (algebra) A function from one ring to another one which preserves the structure of the additive operation, the structure of the multiplicative operation, the zero element (additive identity), and, if there is one, the unity element (multiplicative identity). Wikipedia link: ring homomorphism Categories (topical): Algebra Hyponyms: ring isomorphism Meronyms: image, kernel
    Sense id: en-ring_homomorphism-en-noun-8RaBpPwG Categories (other): English entries with incorrect language header, Pages with 1 entry, Pages with entries Topics: algebra, mathematics, sciences

Inflected forms

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        "A function from one ring to another one which preserves the structure of the additive operation, the structure of the multiplicative operation, the zero element (additive identity), and, if there is one, the unity element (multiplicative identity)."
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Download raw JSONL data for ring homomorphism meaning in English (1.2kB)


This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-12-08 from the enwiktionary dump dated 2024-12-04 using wiktextract (bb46d54 and 0c3c9f6). 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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