#
nLab

nonunital algebra

# Contents

## Idea

A *nonunital algebra* is like an associative algebra but without specified identity element. The associative algebra version of *nonunital ring*, see there for more.

## References

A definition of algebraic K-theory for nonunital rings is due to

- Daniel Quillen,
*$K_0$ for nonunital rings and Morita invariance*, J. Reine Angew. Math., 472:197-217, 1996.

with further developments (in KK-theory) including

- Snigdhayan Mahanta,
*Higher nonunital Quillen K’-theory, KK-dualities and applications to topological T-dualities*, J. Geom. Phys., 61 (5), 875-889, 2011. (pdf)

Last revised on August 21, 2014 at 00:19:58.
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