Product may refer to:

Business

* Product (business), an item that serves as a solution to a specific consumer problem. *

Product (project management) {{more citations needed, date=January 2021 In project management under the PRINCE2 methodology, a product breakdown structure (PBS) is a tool for analysing, documenting and communicating the outcomes of a project, and forms part of the product ba ...

, 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 In mathematics, especially group theory, the Zappa–Szép product (also known as the Zappa–Rédei–Szép product, general product, knit product, exact factorization or bicrossed product) describes a way in which a group can be constructed fro ...

(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 In category theory, a branch of mathematics, a pullback (also called a fiber product, fibre product, fibered product or Cartesian square) is the limit (category theory), limit of a diagram (category theory), diagram consisting of two morphisms ...

or pullback ** Coproduct or

pushout A ''pushout'' is a student who leaves their school before graduation, through the encouragement of the school. A student who leaves of their own accord (e.g., to work or care for a child), rather than through the action of the school, is consider ...

Probability theory

* Wick product of random variables

Graph theory

Graph product In graph theory, a graph product is a binary operation on Graph (discrete mathematics), graphs. Specifically, it is an operation that takes two graphs and and produces a graph with the following properties: * The vertex (graph theory), vertex ...

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 Hairstyle products are used to change the texture and/or shape of hair. History Hairstyling products have had a significant impact on the creation of various hairstyles and trends throughout history. For the ancient Egyptians, physical appearance ...

, such as hairspray or hair gel, generally referred to as simply "product"