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

Waves (Terje Rypdal album)

Waves is the seventh album by Norwegian jazz guitarist Terje Rypdal recorded in 1977 and released on the ECM label.

Reception

The Allmusic review by Michael P. Dawson awarded the album 4 stars stating "This contains some of Rypdal's jazziest music".

Track listing

Personnel

References

Wave (disambiguation)

A wave is a disturbance that propagates through space and time, transferring energy. The original meaning was that of waves on water, or Wind waves. Many other phenomena are defined to be like waves.

Wave or waves may refer to:

Sciences

Waves (Jade Warrior album)

Waves is the fifth studio album by the British progressive/experimental rock band Jade Warrior released in 1975 by Island Records. The album, written, recorded and produced by Jon Field and Tony Duhig with guest musicians (Steve Winwood among them) consisted of one single composition which in the pre-CD days had to be divided into two parts to fit A and B sides.

Style and concept

Jade Warrior's second of the four Island albums was dedicated to "the last whale". It had no recurring theme and was marked by a slightly jazzier feel than its predecessor, carrying a listener "through dawn-lit countryside full of birdsong, downriver to the ocean, and out among the great whales". Describing the band's musical vision at the time as "increasingly exotic", AllMusic found the Island albums "dreamlike, pushing a lighter jazz sound to the forefront", featuring "myriad percussive sounds but drum kits were rarely in evidence". "The band liked to create a soothing, ethereal feel, then shatter it with gongs and unexpectedly raucous electric guitar, usually from guest David Duhig, Tony's brother. The albums featured occasional celebrity guests such as Steve Winwood, but Jade Warrior had a style of its own", critic Casey Elston wrote.