algebra over a ring
module over a ring whose multiplication is bilinear
Rees algebra
construction in commutative algebra
*-algebra
algebra equipped with an involution over a *-ring
matrix ring
ring of all matrices of fixed size
Hodge algebra
commutative algebra that is a free module over some ring R
associative algebra
algebra over a ring such that multiplication is associative
algebra over a field
vector space equipped with a bilinear product
unital algebra
algebra over a ring that has multiplicative identity
non-associative algebra
algebra over a field
finitely generated algebra
algebra over a ring that has a finite set of algebra generators