Image (category theory)

Given a category C and a morphism in C, the image of f is a monomorphism satisfying the following universal property:

There exists a morphism such that .

For any object Z with a morphism and a monomorphism such that , there exists a unique morphism such that .

Remarks:

The image of f is often denoted by im f or Im(f).

One can show that a morphism f is epic if and only if f = im f.

Examples

In the category of sets the image of a morphism is the inclusion from the ordinary image to . In many concrete categories such as groups, abelian groups and (left- or right) modules, the image of a morphism is the image of the correspondent morphism in the category of sets.

In any normal category with a zero object and kernels and cokernels for every morphism, the image of a morphism can be expressed as follows:

Image (board game)

Image is a board game developed by 3M released in 1971. The object of the game is to put together cards that represent an image, a description of a famous person.

External links

Image (magazine)

Image (stylised as IMAGE) is an Irish lifestyle and fashion magazine launched in 1975. It has 120,000 readers a month and is 'Ireland's best-read glossy.'

References

External links

Words (F. R. David song)

"Words" is a 1982 song by F. R. David, which sold eight million copies worldwide and peaked at number two on the British charts in spring of 1983. The song was originally released only in France and Monaco in the winter of 1981, later it was released in the rest of Europe. In 1983, it finally was released in America and the UK. It was a huge European hit, peaking at number one in Germany, Switzerland, Sweden, Austria and Norway. It also went to number one in South Africa in late 1982 and spent 25 weeks on the charts. The photography of the 7" vinyl was made by Vassili Ulrich.

Initial copies of the recording on both LP and single credit the composition of "Words" solely to Robert Fitoussi, which is the real name of F. R. David. All later reissues of F. R. David's original recording of "Words", as well as all re-recordings, credit the composition of the song to Fitoussi (music), and Marty Kupersmith & Louis S. Yaguda (lyrics).

In the 2000s, David released a French language duo version of the song with the singer Winda entitled "Words, j'aime ces mots". F. R. David and Winda included also an English version as a duo.

Words (Anthony David song)

"Words" is a song by American R&B singer-songwriter Anthony David, from his third studio album Acey Duecy. It features fellow contemporary R&B singer-songwriter India.Arie. The song peaked at #53 on the Billboard Hot R&B/Hip-Hop Songs chart, since its release. The song was nominated for a Grammy for Best R&B Performance by a Duo or Group with Vocals in 2009.

Charts

References

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Word (disambiguation)

A word is a unit of language.

Word(s) may also refer to:

Computing

Lexicography

Mathematics

Media

Music

Record Labels

Albums