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

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

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]**J. Cozzens and C. Faith,*Simple Noetherian rings*, Cambridge Univ. Press, Cambridge, 1975. MR**0396660 (53:522)****[2]**D. Eisenbud and J. C. Robson,*Modules over Dedekind prime rings*, J. Algebra**16**(1970), 67-85. MR**0289559 (44:6747)****[3]**A. Shamsuddin,*A note on a class of simple Noetherian rings*, J. London Math. Soc. (2)**15**(1977), 213-216. MR**0435116 (55:8077)****[4]**J. T. Stafford,*Stable structure of non-commutative Noetherian rings*. II, J. Algebra (to appear).**[5]**A. E. Zalesskii and O. M. Neroslavskii,*There exists a Noetherian ring with divisors of zero but without idempotents*, Comm. Algebra**5**(3) (1977), 231-244. (Russian) MR**0439880 (55:12761)**

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

Article copyright:
© Copyright 1978
American Mathematical Society