Product may refer to:
Business
*
Product (business), an item that serves as a solution to a specific consumer problem.
*
Product (project management), a deliverable or set of deliverables that contribute to a business solution
Mathematics
*
Product (mathematics)
Algebra
*
Direct product
In mathematics, one can often define a direct product of objects already known, giving a new one. This generalizes the Cartesian product of the underlying sets, together with a suitably defined structure on the product set. More abstractly, one ta ...
Set theory
*
Cartesian product
In mathematics, specifically set theory, the Cartesian product of two sets ''A'' and ''B'', denoted ''A''×''B'', is the set of all ordered pairs where ''a'' is in ''A'' and ''b'' is in ''B''. In terms of set-builder notation, that is
: A\ti ...
of sets
Group theory
*
Direct product of groups
*
Semidirect product
In mathematics, specifically in group theory, the concept of a semidirect product is a generalization of a direct product. There are two closely related concepts of semidirect product:
* an ''inner'' semidirect product is a particular way in w ...
*
Product of group subsets In mathematics, one can define a product of group subsets in a natural way. If ''S'' and ''T'' are subsets of a group ''G'', then their product is the subset of ''G'' defined by
:ST = \.
The subsets ''S'' and ''T'' need not be subgroups for this pro ...
*
Wreath product
*
Free product
*
Zappa–Szép product (or knit product), a generalization of the direct and semidirect products
Ring theory
*
Product of rings
* Ideal operations, for product of
ideals
Ideal may refer to:
Philosophy
* Ideal (ethics), values that one actively pursues as goals
* Platonic ideal, a philosophical idea of trueness of form, associated with Plato
Mathematics
* Ideal (ring theory), special subsets of a ring considered ...
Linear algebra
*
Scalar multiplication
*
Matrix multiplication
* Inner product, on an
inner product space
*
Exterior product or wedge product
*
Multiplication of vectors:
**
Dot product
**
Cross product
In mathematics, the cross product or vector product (occasionally directed area product, to emphasize its geometric significance) is a binary operation on two vectors in a three-dimensional oriented Euclidean vector space (named here E), and is ...
**
Seven-dimensional cross product
**
Triple product, in vector calculus
*
Tensor product
Topology
*
Product topology
Algebraic topology
*
Cap product
*
Cup product
*
Slant product
Homotopy theory
*
Smash product
*
Wedge sum (or wedge product)
Category theory
* Internal product, in a
monoidal category
*
Product (category theory), a generalization of mathematical products
*
Fibre product or pullback
** Coproduct or
pushout
Probability theory
*
Wick product of random variables
Graph theory
*
Graph product
Music
*
''Product'' (Brand X album), 1979
*
''Product'' (De Press album), 1982
*
''Product'' (Sophie album), 2015
* ''Product'', a three-CD compilation set by
Buzzcocks
Buzzcocks are an English punk rock band formed in Bolton, England in 1976 by singer-songwriter-guitarist Pete Shelley and singer-songwriter Howard Devoto. They are regarded as a seminal influence on the Manchester music scene, the independen ...
Other uses
*
Product (chemistry)
Products are the species formed from chemical reactions. During a chemical reaction, reactants are transformed into products after passing through a high energy transition state. This process results in the consumption of the reactants. It can be a ...
, the species formed from chemical reactions
*
Hairstyling product, such as hairspray or hair gel, generally referred to as simply "product"
See also
*
Production (disambiguation)
{{disambiguation