"regular element" meaning in English

See regular element in All languages combined, or Wiktionary

Noun

Forms: regular elements [plural]
Head templates: {{en-noun}} regular element (plural regular elements)
  1. (algebra) An element of a ring that is not a zero divisor. Categories (topical): Algebra
    Sense id: en-regular_element-en-noun-JtMhnrR9 Categories (other): English entries with incorrect language header Topics: algebra, mathematics, sciences

Inflected forms

Download JSON data for regular element meaning in English (1.0kB)

{
  "antonyms": [
    {
      "word": "zero divisor"
    }
  ],
  "forms": [
    {
      "form": "regular elements",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "regular element (plural regular elements)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Algebra",
          "orig": "en:Algebra",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "An element of a ring that is not a zero divisor."
      ],
      "id": "en-regular_element-en-noun-JtMhnrR9",
      "links": [
        [
          "algebra",
          "algebra"
        ],
        [
          "zero divisor",
          "zero divisor"
        ]
      ],
      "raw_glosses": [
        "(algebra) An element of a ring that is not a zero divisor."
      ],
      "topics": [
        "algebra",
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "regular element"
}
{
  "antonyms": [
    {
      "word": "zero divisor"
    }
  ],
  "forms": [
    {
      "form": "regular elements",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "regular element (plural regular elements)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "en:Algebra"
      ],
      "glosses": [
        "An element of a ring that is not a zero divisor."
      ],
      "links": [
        [
          "algebra",
          "algebra"
        ],
        [
          "zero divisor",
          "zero divisor"
        ]
      ],
      "raw_glosses": [
        "(algebra) An element of a ring that is not a zero divisor."
      ],
      "topics": [
        "algebra",
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "regular element"
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-05-01 from the enwiktionary dump dated 2024-04-21 using wiktextract (f4fd8c9 and c9440ce). 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.