algebra over a field
An algebra over a ring such that the ring is in fact a fieldAn algebra over a ring such that the ring is in fact a field. As a module over a field, such an algebra is in particular a vector space.
» In mathematics, an algebra over a field is a vector space equipped with a bilinear product.
LinaTamazight · Tatoeba · CC BY 2.0 FRMeaning
1 sensesAn algebra over a ring such that the ring is in fact a field. As a module over a field, such an algebra is in particular a vector space.
Examples
1 sentencesIn mathematics, an algebra over a field is a vector space equipped with a bilinear product.
Forms
plural: algebras over a field| Singular | algebra over a field |
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| Plural | algebras over a field |
irregular · Lesson
Synonyms
2 synonymsLessons for this word
1 lessons- A1Plural nouns — Because its plural is irregular
See also
neighbours in the dictionaryDictionary text adapted from Wiktionary (Wiktionary contributors, CC BY-SA 4.0) and Open English WordNet / Princeton WordNet (CC BY 4.0, WordNet License); shared under CC BY-SA 4.0. Example sentences and recordings are credited where they appear.