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Topic: Preabelian category

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	Abelian category
		In mathematics, an abelian category is a certain kind of category in which morphisms and objects can be added and in which kernels and cokernels[?] exist and have the usual properties.
		The motivating prototype example of an abelian category is the category of abelian groups, whence the name.
		The category of all finitely generated abelian groups is also an abelian category, as is the category of all finite groups.
	www.ebroadcast.com.au /lookup/encyclopedia/ab/Abelian_categories.html (653 words)

	Abelian - Facts, Information, and Encyclopedia Reference article
		The category of abelian groups Ab has abelian groups as objects and group homomorphisms as morphisms.
		A preabelian category is an additive category that has all kernels and cokernels.
		An abelian category is a preabelian category in which morphisms and objects can be added.
	www.startsurfing.com /encyclopedia/a/b/e/Abelian.html (240 words)

	Abelian category
		The category of all finitely generated abelian groups is also an abelian category, as is the category of all finite abelian groups.
		Subobjects and quotient objects are well-behaved in abelian categories.
		Important theorems that apply in all abelian categories include the five lemma (and the short five lemma as a special case), as well as the snake lemma (and the nine lemma as a special case).
	www.brainyencyclopedia.com /encyclopedia/a/ab/abelian_category.html (998 words)

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