algebra over a field

English

Noun

algebra over a field (plural algebras over a field)

1. (algebra) An 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.

Synonyms

• algebra
• k-algebra

Hypernyms

• ring
• vector space

Hyponyms

• associative algebra
• division algebra
• non-associative algebra

Related terms

• algebra over a ring