A simple Noetherian ring not Morita equivalent to a domain

A simple Noetherian ring not Morita equivalent to a domain
HTML articles powered by AMS MathViewer

by J. T. Stafford PDF

Proc. Amer. Math. Soc. 68 (1978), 159-160 Request permission

An example of Zalesskii and Neroslavskii is used to produce an example of a simple ring that is not Morita equivalent to a domain.

References

John Cozzens and Carl Faith, Simple Noetherian rings, Cambridge Tracts in Mathematics, No. 69, Cambridge University Press, Cambridge-New York-Melbourne, 1975. MR 0396660
David Eisenbud and J. C. Robson, Modules over Dedekind prime rings, J. Algebra 16 (1970), 67–85. MR 289559, DOI 10.1016/0021-8693(70)90041-4
Ahmad Shamsuddin, A note on a class of simple Noetherian domains, J. London Math. Soc. (2) 15 (1977), no. 2, 213–216. MR 435116, DOI 10.1112/jlms/s2-15.2.213

Stable structure of non-commutative Noetherian rings

A. E. Zalesskiĭ and O. M. Neroslavskiĭ, There exist simple Noetherian rings with zero divisors but without idempotents, Comm. Algebra 5 (1977), no. 3, 231–244 (Russian, with English summary). MR 439880, DOI 10.1080/00927877708822167