product of sets

TheInfoList

Product may refer to:

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Product (business) In marketing, a product is an object or system made available for consumer use; it is anything that can be offered to a Market (economics), market to satisfy the desire or need of a customer. In retailing, products are often referred to as ''Me ...
, 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 base ...
, a deliverable or set of deliverables that contribute to a business solution

# Mathematics

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Product (mathematics) In mathematics Mathematics (from Greek: ) includes the study of such topics as numbers (arithmetic and number theory), formulas and related structures (algebra), shapes and spaces in which they are contained (geometry), and quantities and t ...

## Algebra

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Direct product In mathematics Mathematics (from Greek: ) includes the study of such topics as numbers (arithmetic and number theory), formulas and related structures (algebra), shapes and spaces in which they are contained (geometry), and quantities and the ...

### Set theory

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Cartesian product In mathematics Mathematics (from Greek: ) includes the study of such topics as numbers (arithmetic and number theory), formulas and related structures (algebra), shapes and spaces in which they are contained (geometry), and quantities and ...
of sets

### Group theory

* Direct product of groups * Semidirect product * Product of group subsets * 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 ideal (ring theory)#Ideal operations, ideals

### 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 ** 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 (category theory), pushout

## Probability theory

* Wick product of random variables

* Graph product

# Music

* Product (Brand X album), ''Product'' (Brand X album), 1979 * Product (De Press album), ''Product'' (De Press album), 1982 * Product (Sophie album), ''Product'' (Sophie album), 2015 * ''Product'', a three-CD compilation set by Buzzcocks

# Other uses

* Product (chemistry), the species formed from chemical reactions * Hairstyling product, such as hairspray or hair gel, generally referred to as simply "product"