Abstract Algebra
Tensor product of fields
This is an operation on fields, that does not always produce a field.
Tensor product of R-algebras
Clifford module
A representation of a Clifford algebra which gives a realisation of a Clifford algebra as a matrix algebra.
Tor functors
These are the derived functors of the tensor product, and feature strongly in homological algebra. The name comes from the torsion subgroup in abelian group theory.
Symbolic method of invariant theory
Derived category Grothendieck's six operations
These are highly abstract approaches used in some parts of geometry.
Read more about this topic: Glossary Of Tensor Theory
Famous quotes containing the words abstract and/or algebra:
“When needs and means become abstract in quality, abstraction is also a character of the reciprocal relation of individuals to one another. This abstract character, universality, is the character of being recognized and is the moment which makes concrete, i.e. social, the isolated and abstract needs and their ways and means of satisfaction.”
—Georg Wilhelm Friedrich Hegel (1770–1831)
“Poetry has become the higher algebra of metaphors.”
—José Ortega Y Gasset (1883–1955)