A simple Noetherian ring not Morita equivalent to a domain
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- by J. T. Stafford PDF
- Proc. Amer. Math. Soc. 68 (1978), 159-160 Request permission
Abstract:
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 J. T. Stafford, Stable structure of non-commutative Noetherian rings. II, J. Algebra (to appear).
- 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
Additional Information
- © Copyright 1978 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 68 (1978), 159-160
- MSC: Primary 16A40; Secondary 16A48
- DOI: https://doi.org/10.1090/S0002-9939-1978-0466210-0
- MathSciNet review: 0466210