A simple Noetherian ring not Morita equivalent to a domain

Author:
J. T. Stafford

Journal:
Proc. Amer. Math. Soc. **68** (1978), 159-160

MSC:
Primary 16A40; Secondary 16A48

MathSciNet review:
0466210

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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.

**[1]**John Cozzens and Carl Faith,*Simple Noetherian rings*, Cambridge University Press, Cambridge-New York-Melbourne, 1975. Cambridge Tracts in Mathematics, No. 69. MR**0396660****[2]**David Eisenbud and J. C. Robson,*Modules over Dedekind prime rings*, J. Algebra**16**(1970), 67–85. MR**0289559****[3]**Ahmad Shamsuddin,*A note on a class of simple Noetherian domains*, J. London Math. Soc. (2)**15**(1977), no. 2, 213–216. MR**0435116****[4]**J. T. Stafford,*Stable structure of non-commutative Noetherian rings*. II, J. Algebra (to appear).**[5]**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**0439880**

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DOI:
http://dx.doi.org/10.1090/S0002-9939-1978-0466210-0

Article copyright:
© Copyright 1978
American Mathematical Society