# The loop-space functor in homological algebra

@article{Heller1960TheLF, title={The loop-space functor in homological algebra}, author={Alex Heller}, journal={Transactions of the American Mathematical Society}, year={1960}, volume={96}, pages={382-394} }

This note constitutes a sequel to [AC], the terminology and notation of which are used throughout. Its purpose is to contribute some technical devices, viz. the notion of an ideal, and that of the loop-space functor, to the study of homological algebra. The concept of an ideal of an additive category is introduced (?1) in analogy with the familiar notion of the theory of rings. In particular the quotient of a category by a two-sided ideal is defined. Of especial interest are the ideals…

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