nLab nonunital algebra



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


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

  • Daniel Quillen, K 0K_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. See the history of this page for a list of all contributions to it.